GLENCOE
MATHEMATICS
Grade
Includes:
• Grade 7 West Virginia Content
Standards
• Student Recording Chart
• Diagnostic Test
• Numerous Practice Questions
for Each Objective
• Full-Size Sample Test
7
Test-Taking Tips
• Go to bed early the night before the test. You will think more clearly
after a good night's rest.
• Read each problem carefully and think about ways to solve the
problem before you try to answer the question.
• Relax. Most people get nervous when taking a test. It's natural. Just
do your best.
• Answer questions you are sure about first. If you do not know the
answer to a question, skip it and go back to that question later.
• Think positively. Some problems may seem hard to you, but you may
be able to figure out what to do if you read each question carefully.
• If no figure is provided, draw one. If one is furnished, mark it up to
help you solve the problem.
• When you have finished each problem, reread it to make sure your
answer is reasonable.
• Become familiar with a variety of formulas and when they should
be used.
• Make sure that the number of the question on the answer sheet
matches the number of the question on which you are working in
your test booklet.
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information storage or retrieval system, without prior written permission of the publisher.
Send all inquiries to:
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ISBN: 0-07-866759-3
WESTEST Grade 7
Practice and Sample Test Workbook
1 2 3 4 5 6 7 8 9 10 079 13 12 11 10 09 08 07 06 05 04
Contents
Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iv
Student Recording Chart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v
West Virginia Content Standards and Objectives, Grade 7 . . . . . . . . . . . vi
Copyright © Glencoe/McGraw-Hill
Test Practice
Diagnostic Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Standards Practice
MA.7.1.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
MA.7.1.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11–12
MA.7.1.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12–13
MA.7.1.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13–14, 17
MA.7.1.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14, 17
MA.7.1.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
MA.7.1.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15–16, 17
MA.7.1.8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16, 17
MA.7.2.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
MA.7.2.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19, 31
MA.7.2.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19–20, 31
MA.7.2.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20–21
MA.7.2.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
MA.7.2.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22, 31
MA.7.2.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23, 31
MA.7.2.8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
MA.7.2.9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
MA.7.2.10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25–26
MA.7.2.11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27–28
MA.7.2.12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
MA.7.2.13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30, 31
MA.7.3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32, 37
MA.7.3.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32, 37
MA.7.3.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33, 37
MA.7.3.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33–34, 37
MA.7.3.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34–35, 37
MA.7.3.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35–36, 37
MA.7.3.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36, 37
MA.7.4.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38, 41
MA.7.4.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38–39, 41
MA.7.4.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39–40, 41
MA.7.4.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40, 41
MA.7.5.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42, 45
MA.7.5.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42–43, 45
MA.7.5.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43–44, 45
MA.7.5.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44, 45
Test Practice
Sample Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
WESTEST, Grade 7
iii
Overview
The material in this booklet is designed to help your students prepare for
the West Virginia Educational Standards Test (WESTEST).
It contains:
• a Student Recording Chart,
• West Virginia Content Standards and Objectives,
• a Diagnostic Test,
• practice for each objective, and
• a Sample Test.
How to Use This Book
Diagnostic Test This test will help you identify any weaknesses you
may have as you prepare to take the WESTEST. Once you’ve taken the test
and it’s been graded, complete the Student Recording Chart that is found
on page v. Mark an × in the square for each question that you answered
incorrectly.
Practice If you missed one or two of the questions for a particular
objective, you could probably use some extra practice with that objective.
The Student Recording Chart lists practice pages for each objective.
Complete the appropriate practice pages. If you are unsure about how to do
some of the problems, you may want to refer to your mathematics book.
Copyright © Glencoe/McGraw-Hill
Sample Test After you have completed your practice worksheet(s), take
the Sample Test on pages 46 to 55.
iv
WESTEST, Grade 7
Name _____________________________________________________
Student Recording Chart
Directions Mark an × by each question from the Diagnostic Test that you
answered incorrectly. If there are one or two ×s marked for an objective, write
Yes in the Need Practice? box. Then complete the practice pages for that
objective.
Objective
MA.7.1.1
MA.7.1.2
MA.7.1.3
MA.7.1.4
MA.7.1.5
MA.7.1.6
14 ■
25 ■
18 ■
9 ■ 10 ■
16 ■
33 ■
11
11–12
12–13
13–14, 17
14, 17
15
MA.7.1.7
MA.7.1.8
MA.7.2.1
MA.7.2.2
MA.7.2.3
MA.7.2.4
34 ■ 44 ■
21 ■
30 ■
3■
37 ■
7■
Practice Pages
15–16, 17
16, 17
18
19, 31
19–20, 31
20–21
Objective
MA.7.2.5
MA.7.2.6
MA.7.2.7
MA.7.2.8
MA.7.2.9
MA.7.2.10
31 ■
35 ■
29 ■
36 ■
23 ■
17 ■
21
22, 31
23, 31
24
25
25–26
MA.7.2.11
MA.7.2.12
MA.7.2.13
MA.7.3.1
MA.7.3.2
MA.7.3.3
26 ■
12 ■ 42 ■
1■
13 ■ 45 ■
27 ■
22 ■
27–28
29
30, 31
32, 37
32, 37
33, 37
MA.7.3.4
MA.7.3.5
MA.7.3.6
MA.7.3.7
MA.7.4.1
MA.7.4.2
5■
43 ■
32 ■
39 ■
11 ■ 41 ■
40 ■
Practice Pages
33–34, 37
34–35, 37
35–36, 37
36, 37
38, 41
38–39, 41
Objective
MA.7.4.3
MA.7.4.4
MA.7.5.1
MA.7.5.2
MA.7.5.3
MA.7.5.4
Test Questions
2 ■ 19 ■
6■
15 ■ 20 ■
4 ■ 38 ■
8 ■ 24 ■
28 ■
39–40, 41
40, 41
42, 45
42–43, 45
43–44, 45
44, 45
Test Questions
Need Practice?
Practice Pages
Objective
Test Questions
Need Practice?
Test Questions
Need Practice?
Practice Pages
Objective
Test Questions
Need Practice?
Practice Pages
Objective
Copyright © Glencoe/McGraw-Hill
Test Questions
Need Practice?
Need Practice?
Practice Pages
WESTEST, Grade 7
v
West Virginia Content Standards and Objectives,
Grade 7
Content Standards and Objectives
Standard 1: Number and Operations (MA.S.1)
Students will:
• demonstrate understanding of numbers, ways of representing numbers, and relationships among
numbers and number systems;
• demonstrate meanings of operations and how they relate to one another; and
• compute fluently and make reasonable estimates
through communication, representation, reasoning and proof, problem solving, and making
connections within and beyond the field of mathematics.
MA.7.1.1 Students will compare and order integers, decimals, and fractions using symbols (, , )
manipulatives and graphing on a number line.
MA.7.1.2 Students will find powers, squares, and square roots using manipulatives, models, calculators,
tables and mental math.
MA.7.1.3 Students will define absolute value and determine its effect on a number or expression.
a
b
MA.7.1.4 Students will recognize and write rational numbers in the form .
MA.7.1.5 Students will perform operations with integers (e.g., addition, subtraction, multiplication,
division).
MA.7.1.6 Students will apply the commutative, associative, distributive, identity and inverse properties.
MA.7.1.7 Students will solve application problems with whole numbers, decimals, fractions and
percents.
MA.7.1.8 Students will use appropriate estimation strategies in problem situations including evaluating
the reasonableness of a solution.
MA.7.2.1
Students will find missing elements in a variety of arithmetic and geometric patterns
including algebraic sequences and series.
MA.7.2.2
Students will simplify and evaluate numerical and algebraic expressions with whole
numbers, integers, absolute value and exponents using the order of operations and
exponential rules.
MA.7.2.3
Students will add, subtract, multiply and divide monomials with no more than two variables
and no exponent greater than two.
MA.7.2.4
Students will find and use the Greatest Common Factor (GCF) and Least Common
Multiple (LCM) of a set of monomials or algebraic fractions using prime factorization and
exponent rules.
vi
WESTEST, Grade 7
Copyright © Glencoe/McGraw-Hill
Standard 2: Algebra (MA.S.2)
Students will:
• demonstrate understanding of patterns, relations, and functions;
• represent and analyze mathematical situations and structures using algebraic symbols;
• use mathematical models to represent and understand quantitative relationships; and
• analyze change in various contexts
through communication, representation, reasoning and proof, problem solving, and making
connections within and beyond the field of mathematics.
Content Standards and Objectives
MA.7.2.5
Students will input data into a spreadsheet to create input/output function tables.
MA.7.2.6
Students will use ratios and proportions to represent and solve application problems.
MA.7.2.7
Students will write and evaluate complex algebraic expressions for word phrases.
MA.7.2.8
Students will use and apply scientific notation containing positive and negative exponents.
MA.7.2.9
Students will solve one-step linear equations containing whole numbers, fractions, decimals
and integers with integer solutions.
MA.7.2.10 Students will solve basic inequalities using inverse operations and graph solutions.
MA.7.2.11 Students will plot lines within the Cartesian coordinate plane from a table of values.
MA.7.2.12 Students will determine the slope of a line from its graphical representation.
MA.7.2.13 Students will represent and solve real world problems appropriate for 7th grade using
manipulatives.
Standard 3: Geometry (MA.S.3)
Students will:
• analyze characteristics and properties of two- and three-dimensional geometric shapes and develop
mathematical arguments about geometric relationships;
• specify locations and describe spatial relationships using coordinate geometry and other
representational systems;
• apply transformations and use symmetry to analyze mathematical situations; and
• solve problems using visualization, spatial reasoning, and geometric modeling
through communication, representation, reasoning and proof, problem solving, and making
connections within and beyond the field of mathematics.
MA.7.3.1 Students will identify and construct angle-pairs (e.g., adjacent, complementary,
supplementary, vertical).
MA.7.3.2 Students will use a formula to determine the sum of the measures of the interior angles of a
polygon.
MA.7.3.3 Students will use 2-dimensional representations of 3-dimensional objects to visualize and
solve problems.
MA.7.3.4 Students will identify and construct congruent segments and angles, perpendicular bisectors
of segments and angle-bisectors.
MA.7.3.5 Students will apply and demonstrate line symmetry.
MA.7.3.6 Students will apply transformations (rotations, reflections, translations) to plane figures using
Copyright © Glencoe/McGraw-Hill
graph paper.
MA.7.3.7 Students will solve ratio and proportion problems including scale drawings and similar
polygons.
WESTEST, Grade 7
vii
Content Standards and Objectives
Standard 4: Measurement (MA.S.4)
Students will:
• demonstrate understanding of measurable attributes of objects and the units, systems, and processes
of measurement; and
• apply appropriate techniques, tools and formulas to determine measurements
through communication, representation, reasoning and proof, problem solving, and making
connections within and beyond the field of mathematics.
MA.7.4.1 Students will use and apply formulas in problem solving situations involving perimeter,
circumference, area, surface area, distance and temperature (Celsius, Fahrenheit).
MA.7.4.2 Students will use the concept of volume for prisms, pyramids, and cylinders as the
relationship between the area of the base and height.
MA.7.4.3 Students will use the Pythagorean Theorem to find the length of any side of a right triangle.
MA.7.4.4 Students will convert units of measurement within and between customary and metric
systems.
Standard 5: Data Analysis and Probability (MA.S.5)
Students will:
• formulate questions that can be addressed with data and collect, organize, and display relevant data
to answer them;
• select and use appropriate statistical methods to analyze data;
• develop and evaluate inferences and predictions that are based on models; and
• apply and demonstrate an understanding of basic concepts of probability
through communication, representation, reasoning and proof, problem solving, and making
connections within and beyond the field of mathematics.
MA.7.5.1 Students will determine experimental and theoretical probability of an event using
appropriate technology.
MA.7.5.2 Students will construct sample spaces by listing, tree diagrams, and frequency distribution
tables to determine combinations and permutations.
MA.7.5.3 Students will collect, organize, graphically represent, and interpret data displays including:
frequency distributions, line-plots, scatter plots, box and whiskers, and multiple-line graphs.
MA.7.5.4 Students will solve application problems involving measures of central tendency (mean,
Copyright © Glencoe/McGraw-Hill
median, mode) and dispersion (range) from data, graphs, tables, and experiments using
appropriate technology.
viii WESTEST, Grade 7
Name
Date
Diagnostic Test
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
1 Demetra is using a small hose to fill the family swimming pool. After
one hour, the water is 4 inches deep. If the pool is considered full when
the water is 3 inches from the top, how much longer will it take to finish
the job? MA.7.2.13
1
4 ft
14 ft
A 10 h
C 11 h
B 10 h 15 min
D 11 h 15 min
2 A neighbor is building a ramp to allow furniture movers to reach his front
porch. The porch is 3 feet above ground level. The ramp begins 13 feet
from the house. How long must the ramp be? Answer to the nearest inch.
2
MA.7.4.3
ramp
3 ft
13 ft
A 13 ft
C 13 ft 3 in.
B 13 ft 2 in.
D 13 ft 4 in.
3 Simplify 2(4a)2. MA.7.2.2
A 8a
Copyright © Glencoe/McGraw-Hill
C 16a2
3
B
8a2
D 32a2
4 An artist has 4 paintings in his garage. How many different sets of
3 paintings could he select for a small display in a local gallery?
A 2 sets
B 3 sets
MA.7.5.2
C 4 sets
D 6 sets
4
5 How many pairs of congruent angles with measures less than 180° are in
the figure? MA.7.3.4
5
1 2
4 3
A 1 pair
C 3 pairs
5 6
8 7
B 2 pairs
D 4 pairs
Go on
WESTEST, Grade 7
1
Name
Date
Diagnostic Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
6 The label on Julia’s new antibiotic indicates she should take 2 tablets
every four hours. Each tablet contains 20 milligrams of the antibiotic.
How many grams of the antibiotic are in the bottle of 60 tablets?
MA.7.4.4
A 2400 g
B 12 g
C 2.4 g
D 1.2 g
6
7 What is the exact value of 3145 2335? MA.7.2.4
7
C
11
525
64
1
105
B
D
11
35
61
1
100
8 The frequency distribution tallies the number of bird species spotted
during a morning bird-watch at Yankauer Nature Preserve. At least how
many species were observed from 7 A.M. to 10 A.M.? MA.7.5.3
Time (A.M.)
5–6
6–7
7–8
8–9
9–10
10–11
11–noon
Tally
||
|||| |
||||
|||
|
|
||
A 4 species
C 8 species
Frequency
2
6
4
3
1
1
2
B 7 species
D 9 species
9 What is another way to write the number 0.16? MA.7.1.4
A
C
1
6
1
3
2
3
0.3
0.35
0.6
WESTEST, Grade 7
9
B 16%
D 116
10 What is 35 in decimal form? MA.7.1.4
A
B
C
D
8
Copyright © Glencoe/McGraw-Hill
A
10
Go on
Name
Date
Diagnostic Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
11 What is the area of a rectangle 5 feet wide and 8 feet long? MA.7.4.1
A 13 ft2
B 26 ft2
C 40 ft2
D 48 ft2
11
12 What is the slope of line m ? MA.7.2.12
12
A
B
C
25
35
52
y
x
O
D 5
m
13 What is mLKM? MA.7.3.1
A 67
B 90
C 113
D 247
13
L
67
K
M
14 Which statement is false? MA.7.1.1
A
Copyright © Glencoe/McGraw-Hill
B
C
D
13
20
16
25
16
25
13
20
14
16
25
15
23
18
29
18
29
15 Angela tosses a fair coin and gets heads three times in a row. What is the
probability that she will get heads if she tosses the coin a fourth time?
A 50%
MA.7.5.1
15
B 6623%
C 75%
D 80%
Go on
WESTEST, Grade 7
3
Name
Date
Diagnostic Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
16 Find 15 (7). MA.7.1.5
A 22
C 8
16
B 8
D 22
17 The graph shows which inequality? MA.7.2.10
7
8
9 10 11 12 13 14
A x9
C x9
B x9
D x9
18 What is the value of 7 | 3 5 | ? MA.7.1.3
A 9
B 7
C 6
D 5
18
19 An airplane takes off from Yeager Airport flying due north. After flying
10 miles, it turns and flies west 7 miles. How far is it from the airport, to
the nearest tenth of a mile? MA.7.4.3
A 12.2 mi
B 12.0 mi
C 9.0 mi
D 8.5 mi
19
20 A woman is washing dishes in a rectangular sink that is 24 inches long
and 16 inches wide. The sink has a circular drain that is 3 inches in
diameter. Suddenly, she realizes that the diamond that was in the ring she
is wearing has come loose and fallen in the sink. What is the best
estimate of the probability that the diamond dropped into the drain when
it came loose? MA.7.5.1
20
Copyright © Glencoe/McGraw-Hill
6
17
16 in.
3 in.
24 in.
A 18%
C 7%
4
WESTEST, Grade 7
B 15%
D 2%
Go on
Name
Diagnostic Test
Date
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
21
10 ft
3 ft
18 ft
22 You want to rearrange the small cubes in the figure
at the right to build a large cube that is 2 cubes long,
2 cubes wide, and 2 cubes high. How many more small
cubes will you need? MA.7.3.3
A 2 cubes
B 3 cubes
C 4 cubes
D 5 cubes
22
23 Solve x 6.75 7.25 for x. MA.7.2.9
A 14
B 13
C 14
D 15
23
24 The scatter plot shows how the lengths of
some small candles are related to the number
of minutes they have been burning. What
kind of correlation does the scatter plot show?
MA.7.5.3
A positive correlation
B negative correlation
C random correlation
D no correlation
24
25 What is the value of 289
? MA.7.1.2
A 11
B 13
C 16
D 17
Length (cm)
Copyright © Glencoe/McGraw-Hill
21 The kitchen floor in the Reyes house has
an island and an L-shaped counter as shown
at the right. If each floor tile is one square
foot and costs $2.35, about how much will
it cost the Reyes to retile the floor shown
by the shaded area? MA.7.1.8
A $350
B $280
C $250
D $215
0
Time (min)
25
Go on
WESTEST, Grade 7
5
Name
Date
Diagnostic Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
26 Suppose you plot points for the x- and y-values in the table. When you
connect the points with a line, which line do you obtain? MA.7.2.11
x
y
2
5
4
3
5
1
26
07
3
y
p
x
O
m
n
B line m
D line p
27 A convex polygon has 20 sides. What is the sum of the measures of the
angles of the polygon? MA.7.3.2
A 3,240
B 3,420
C 3,600
D 3,960
27
28 A library charges ten cents per day for overdue books. The data below
lists the number of overdue days for the late returns on the first Monday
after January 1. What are the mean, median, and mode of the data?
MA.7.5.4
6, 3, 1, 4, 10, 3, 2, 12, 8, 4, 8, 5, 14, 7, 4, 5
A 6, 5, 4
B 6, 5, 14
C 5, 6, 8
D 5, 5, 4
28
29 Which expression represents the difference of the number y and the
number x? MA.7.2.7
A y x2
B yx
29
C yx
D
y
x
30 What are the next two numbers in the pattern? MA.7.2.1
1, 3, 7, 13, 21, …
A 31, 43
B 30, 42
C 32, 44
D 33, 43
6
WESTEST, Grade 7
Copyright © Glencoe/McGraw-Hill
A line C line n
30
Go on
Name
Date
Diagnostic Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
31 You are going to graph y 7x 3. You
A
want to use a spreadsheet to automatically
1
x-value
calculate the y-values that correspond to
2
1
the x-values 1, 2, and 3. For the spreadsheet
3
2
shown below, what formula should you
4
3
enter in cell B2? MA.7.2.5
A 7*A2 3
B 7*(A2 3)
C 7*A1 3
D 7^A1 3
B
y-value
32 The coordinates of the vertices of a triangle are 0, 12, (2, 3), and
(4, 0). Which figure shows the image of the triangle for the
transformation (x, y) → x 2, y 12? MA.7.3.6
A
x
O
C
x
32
y
x
O
D
y
O
Copyright © Glencoe/McGraw-Hill
B
y
31
y
O
x
33 If y a(b c), which of the following is true? MA.7.1.6
A y ab ac
B y a (b c)
C y (ab) c
D y ab ac
33
34 The Monongahela National Forest contains 80,000 acres of
congressionally designated wilderness. If a forest fire were to burn 15%
of this wilderness, how many acres would remain unburned? MA.7.1.7
A 12,000 acres
B 53,000 acres
C 68,000 acres
D 70,000 acres
34
35 The park district is filling two public swimming pools, one at a time.
Filling the smaller pool, which holds 50,000 gallons, took 6 hours. How
much time will be needed to fill the 85,000-gallon pool at the same rate?
MA.7.2.6
A 10 h 12 min
B 10 h 20 min
C 60 h
D 102 h
35
Go on
WESTEST, Grade 7
7
Name
Diagnostic Test
Date
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
36 At Earth’s closest approach to the Sun, or perihelion, the Sun is only
147.5 million kilometers away. Earth’s aphelion, or greatest distance
from the Sun, is barely 5.1 million kilometers greater than its perihelion.
Write Earth’s distance from the Sun at aphelion in scientific notation.
MA.7.2.8
A 1.526 106 km
8
B 1.526 10 km
C 152.6 million km
D 152.6 108 km
36
37 Simplify 4 3x2 13y 5x 7 x2 by combining like terms.
A 4x2 5x 11
MA.7.2.3
2
B 4x 5x 13y 11
C 2x2 5x 13y 11
D 2x2 5x 13y 11
37
38 The wardrobe mistress for a musical production has 4 different belts and
2 different hats for the lead dancer. How many belt and hat combinations
can she create with these items? MA.7.5.2
A 8
B 6
C 4
D 2
38
39 The triangles in the figure at the right are similar.
The length of the shortest side of the larger
triangle is 6 centimeters. What is the perimeter
of the larger triangle? MA.7.3.7
A 24 cm2
B 24 cm
C 48 cm2
D 48 cm
39
8
WESTEST, Grade 7
3 cm
Copyright © Glencoe/McGraw-Hill
40 The volume of a triangular prism is 360 m3. The
area of the base is 36 m2. What is the height of the
prism? MA.7.4.2
A 10 m
B 20 m
C 36 m
D 72 m
5 cm
40
?
Go on
Name
Date
Diagnostic Test
(continued)
41
Alonzo clears 3.5 meters on a practice pole vault. What is this
height to the nearest tenth of a yard? (Hint: 1 meter ≈ 39.37
inches.) MA.7.4.1
42
What is the slope of the line? MA.7.2.12
y
30
20
10
O
20
30
x
The figure shows a design that will be used on the cover of a
new cookbook. The large hexagon is a regular hexagon. How
many lines of symmetry does the design have and which lines
are they? MA.7.3.5
Copyright © Glencoe/McGraw-Hill
43
10
Go on
WESTEST, Grade 7
9
Name
Date
Diagnostic Test
44
(continued)
Maria is filling up her automobile’s 14-gallon gasoline tank.
When she began, the tank was half full. MA.7.1.7
Part A If the pump supplies gasoline at the rate of 1 gallon every
15 seconds, how long will it take Maria to fill her tank the rest
of the way?
Part B Maria’s car gets 20 miles per gallon at 40 miles per hour.
Starting with a full tank, how long can she drive at this speed
before she has only four gallons remaining?
45
Use the figure to answer the questions. MA.7.3.1
B
60
30
C
M
150
E
D
30
60
A
Copyright © Glencoe/McGraw-Hill
Part A Name an angle adjacent to mMDE.
Part B Name a pair of complementary angles.
Part C How do supplementary angles differ from complementary angles?
STOP
10
WESTEST, Grade 7
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.1.1 Compare and order integers, decimals, and
fractions using symbols (, , ) manipulatives and graphing on a
number line.
1
1 Put the numbers in order from least to greatest.
3, 1.49, 3.14, 1.5, 12
A 1.49, 1.5, 12, 3, 3.14
C
1
,
2
B
1
,
2
1.49, 3, 1.5, 3.14
D 3, 12, 1.49, 1.5, 3.14
1.49, 1.5, 3, 3.14
2
2 Which statement is true?
A
C
2
3
2
3
59
B
59
D
2
3
2
3
79
0.67
3
3 The figure shows the graph of which inequality?
7 6 5 4 3 2 1
A x 5
C x 5
0
1
2
B x 5
D x 5
4
Copyright © Glencoe/McGraw-Hill
4 Which list of numbers is in order from least to greatest?
A 0.1, 2.5, 1.1, 0.25, 2.25
B 2.5, 0.1, 0.25, 1.1, 2.25
C 2.5, 0.1, 2.25, 0.25, 1.1
D 2.25, 1.1, 0.25, 0.1, 2.5
OBJECTIVE MA.7.1.2 Find powers, squares, and square roots using
manipulatives, models, calculators, tables and mental math.
1 Which equation gives the number of small
cubes needed to build the figure shown at
the right?
A 3 72 147
B 72 49
C 73 343
D 37 2,187
1
WESTEST, Grade 7
11
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.1.2 (continued)
2 A park in Charleston has a square recreation field with an area of
10,000 square meters. How long is each side of the field?
A 5,000 mm
B 1,000 m
C 500 m
D 100 m
2
3 What is the value of 26?
A 64
B 32
C 16
D 12
3
4 The square top of a table is covered with tiles, as shown in the figure
below. Which expression gives the number of tiles?
4
23 tiles
32 tiles
42 tiles
162 tiles
OBJECTIVE MA.7.1.3 Define absolute value and determine its effect
on a number or expression.
1 Which statement best defines the absolute value of a number?
A The absolute value of a number is 1 times the number.
B The absolute value of a number is 0 minus the number.
C The absolute value of a number is its distance from 1 on a
number line.
D The absolute value of a number is its distance from 0 on a
number line.
12
WESTEST, Grade 7
1
Copyright © Glencoe/McGraw-Hill
A
B
C
D
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.1.3 (continued)
2 Which is a true statement?
A |12 | 12
B |12 | |12 |
C |12 | |12 |
D |12 | 12
2
3 The coldest temperature ever recorded in Huntington was 29° Celsius.
How many degrees Celsius below zero was this?
A 29 degrees
B 0 degrees
C 29 degrees
D 58 degrees
3
4 On a number line, point P is matched with 5, and point Q is matched
with 8. Which expression gives the distance from P to Q?
B | 8 | |5 |
A | 8 (5)|
C | 8 | (5)
D |5 | | 8 |
4
OBJECTIVE MA.7.1.4 Recognize and write rational numbers in the
a
form b.
1 Which number is a rational number?
B A 3
Copyright © Glencoe/McGraw-Hill
C
22
7
D 8
2 Which number is equal to 0.66?
A
C
1
3
2
3
2
B
D
66
100
6
3
3 Which number is equal to 1.4?
A
C
140
10
14
10
1
3
B
D
70
10
14
10
WESTEST, Grade 7
13
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.1.4 (continued)
4
4 What is a rational number?
A A rational number is a number that can be written as the quotient ba
of two whole numbers, b 0.
B A rational number is a number that can be written as the quotient ba
of two integers, b 0.
C A rational number is a number that can be written as the quotient ba
of two integers, a 0.
D A rational number is a number that is not a square root.
OBJECTIVE MA.7.1.5 Perform operations with integers (e.g., addition,
subtraction, multiplication, division).
1
B 6
D 8
2 Find the value of (2)(8)(10).
A 180
B 160
C 160
D 180
2
3 Find 7 (22).
A 29
B 15
C 15
D 29
3
4 The temperature in Wheeling dropped 15°F in 5 hours. If the
temperature change was the same each hour, what was the temperature
change each hour?
A 3°F
B 2°F
C 3°F
D 5°F
4
14
WESTEST, Grade 7
Copyright © Glencoe/McGraw-Hill
1 Find 18 26.
A 8
C 6
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.1.6 Apply the commutative, associative,
distributive, identity and inverse properties.
1 Which property would be most helpful if you want to compute
98 98 99 mentally?
A Distributive Property
B Commutative Property of Addition
C Commutative Property of Multiplication
D Associative Property of Multiplication
1
2 Suppose you are going to simplify 5a (5a) 7a. If your first step is
to use the Inverse Property of Opposites, which expression will you
obtain?
A 12a (5a)
B 5a 12a
C 0 7a
D 5a 7a (5a)
2
3 The equation 17 1 29 17 29 uses which property?
A Identity Property of Multiplication
B Identity Property of Addition
C Commutative Property of Multiplication
D Commutative Property of Addition
3
Copyright © Glencoe/McGraw-Hill
OBJECTIVE MA.7.1.7 Solve application problems with whole
numbers, decimals, fractions and percents.
1 A lake that contained 390,525,000 cubic meters of water had the volume
of water in it reduced to 234,315,000 cubic meters as a result of hot
weather and reduced rainfall. By what fraction was the water volume in
the lake reduced?
A
C
1
3
3
5
B
D
1
2
5
7
10
2 In 2001, West Virginia’s population was about 1,801,900. The population
of Hampshire County was about 21,000. What percent of West Virginia’s
total population was Hampshire County’s population? Answer to the
nearest tenth of a percent.
A 12%
B 11.7%
C 2.1%
D 1.2%
2
WESTEST, Grade 7
15
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.1.7 (continued)
3 Victor and Shawn are driving from Berkeley Springs to Williamson, a
distance of 394 miles. They have driven at an average of 60 miles per
hour for 412 hours. What percent of the total distance remains? Answer to
the nearest percent.
A 61%
B 31%
C 39%
D 69%
3
4 Stephanie and Rita split 14 of a pumpkin pie for
dessert at lunch. They divided the remaining pie
equally to take home to their families. What fraction
of the original pie did each take home?
4
A
C
7
8
3
8
pie
B
pie
D
3
4
1
4
pie
pie
1 Carlos has received a video store gift certificate for $100. DVDs in a
discount bin at the store are priced from $7.99 to $12.99. About how
many DVDs can Carlos buy with his gift certificate?
A 5 DVDs
B 7 DVDs
C 9 DVDs
D 15 DVDs
1
2 The driving distance from Martinsburg to Charleston is 296 miles. If
Erika drives at a steady 65 miles per hour, but makes two stops for fuel,
about how long will it take her to make the drive?
A 4h
B 5h
C 6h
D 7h
2
3 The movie club is having an animated movie marathon in a classroom.
The show will start at 8:00 A.M. sharp on Saturday morning, continuing
until 7:00 P.M. Saturday evening, 11 hours later. If there is a 15-minute
break between movies, and the movies have an average length of
60 minutes, how many showings will the club be able to have?
A 9 showings
B 7 showings
C 6 showings
D 5 showings
3
16
WESTEST, Grade 7
Copyright © Glencoe/McGraw-Hill
OBJECTIVE MA.7.1.8 Use appropriate estimation strategies in
problem situations including evaluating the reasonableness of a solution.
Name
Date
Standards Practice
OBJECTIVES MA.7.1.4, MA.7.1.5, MA.7.1.7, MA.7.1.8
1
The mountain climbing club is ascending a 5,500-foot peak. A
typical rate for fast hiking on a steep slope is 1,500 vertical feet
per hour, not counting breaks. They take a five-minute break
every 30 minutes. How long will it take the club to climb 80%
of the way to the top?
2
Anita can write about 50 lines of computer code per day, but
testing and debugging it takes another half day. Her current
project is estimated to require about six weeks of work, five
days per week. About how many lines of code will she have
written, tested, and debugged?
3
Ignacio has a summer job cutting grass for a company whose
offices occupy an old estate with a huge lawn. He works five
days per week and it takes three days to cut all the grass once.
The summer job lasts 14 weeks.
Copyright © Glencoe/McGraw-Hill
Part A What is the maximum number of times he will cut all the grass?
Part B If he takes a three-week vacation, what percent of his expected
summer income will he give up by not working?
WESTEST, Grade 7
17
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
1 What number comes next in the pattern?
5, 2, 1, 4, …
A 1
B 5
C 7
D 8
1
2 Which figure comes next in the pattern?
2
A
B
C
D
3 What expression comes next in the pattern?
1(a 1), 2(a 2), 4(a 4), 8(a 8), …
A 12(a 12)
B 16(a 16)
C 32(a 32)
D 64(a 64)
3
4 What are the next two numbers in the pattern?
7, 13, 23, 37, 55, …
A 75, 102
B 76, 102
C 77, 103
D 77, 105
4
18
WESTEST, Grade 7
Copyright © Glencoe/McGraw-Hill
OBJECTIVE MA.7.2.1 Find missing elements in a variety of arithmetic
and geometric patterns including algebraic sequences and series.
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
Copyright © Glencoe/McGraw-Hill
OBJECTIVE MA.7.2.2 Simplify and evaluate numerical and algebraic
expressions with whole numbers, integers, absolute value and exponents
using the order of operations and exponential rules.
1 A ship leaves for England from the port of New York. Its average speed
is 25 miles per hour except for 8 hours every night, when the speed is
decreased to 18 miles per hour. The distance to be traveled is 3,240 miles.
How long will the trip take, to the nearest day?
A 5 days
B 6 days
C 7 days
D 8 days
1
2 What is the value of 5a2 2a 7 if a 3?
A 58
B 55
C 51
D 22
2
3 Simplify |11| 7(5).
A 90
C 20
3
B 24
D 20
4 What is the value of (7) |3 (5)2 10|?
A 595
B 455
C 105
D 78
4
5 Evaluate the following expression: 8 5 (3).
A 120
B 23
C 9
D 9
5
OBJECTIVE MA.7.2.3 Add, subtract, multiply and divide monomials
with no more than two variables and no exponent greater than two.
1 Add: 3xy (12xy).
A 9xy
C 9xy
1
B 9 xy
D 9 xy
WESTEST, Grade 7
19
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.2.3 (continued)
2 Subtract 8x2 from 23x2.
A 15x2
C 15x2
3 Simplify (70a)(3ab2).
A 210a2b2
C 140a2
4 Divide: (40ab2) (5ab).
A 8a2b
C 8ab2
2
31x2
B
D 31x2
3
210ab2
B
D 73b2
4
B 8b
D 8ab
1 What is the GCF of 24x2 and 36x2?
A 12x2
B 6x
C 12x
D 72x2
1
2 Find the LCM of the following: 15y, 30y2, and 10x.
A 1
B 30xy2
2
2
C 5x y
D 5xy
2
2
2
39x
15x
.
3 Simplify 5
10
A
C
20
93x2
10
54x2
10
WESTEST, Grade 7
3
B
D
54x2
5
93
10
Copyright © Glencoe/McGraw-Hill
OBJECTIVE MA.7.2.4 Find and use the Greatest Common Factor
(GCF) and Least Common Multiple (LCM) of a set of monomials or
algebraic fractions using prime factorization and exponent rules.
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.2.4 (continued)
4 Students are going on a field trip to the West Virginia State Museum.
Each homeroom has 20 students. Each bus can hold 54 passengers. What
is the least number of homerooms that can go if all busses are to be
filled completely?
A 2 homerooms
B 5 homerooms
C 10 homerooms
D 27 homerooms
4
OBJECTIVE MA.7.2.5 Input data into a spreadsheet to create
input/output function tables.
A spreadsheet is being created to make input/output tables for
y 3x and y 2x 8. Use the spreadsheet shown for
Questions 1–4.
Copyright © Glencoe/McGraw-Hill
1
2
3
4
A
x
2
4
6
B
3x
C
2x 8
1 What formula should be entered in cell B2?
A 3*A2
B 3^A2
C A2 3
D (3A1)
1
2 What formula should be entered in cell C2?
A 2(A2 8)
B 2*A2 8
C 2^A2 8
D 2^(A2 8)
2
3 What values will the spreadsheet display for cells B3 and C4?
A 12, 16
B 12, 20
C 12, 20
D 12, 20
3
4 Suppose you use the Fill Down feature to create entries for cells A5, A6,
and A7. What numbers will the spreadsheet display in these three cells?
A 7, 8, 9
B 8, 10, 12
C 10, 12, 14
D 8, 9, 10
4
WESTEST, Grade 7
21
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.2.6 Use ratios and proportions to represent and
solve application problems.
1 A truck trailer x yards long can carry 200 cubic yards of cargo. Another
truck trailer is one third the length of the first, but the same height and
width. How many cubic yards of cargo can the second trailer hold?
1
x
h
A 200 m3
B 13323 yd3
C 67 yd2
D 6623 yd3
2 Twelve performances of La Bohème sold out, with a total of
9,900 tickets sold. The next opera, La Traviata, will be performed only
eight times. If these performances also are sold out, how many tickets
for La Traviata have been sold?
A 6,000 tickets
B 6,600 tickets
C 6,875 tickets
D 9,000 tickets
2
3 Jan plants 200 tulips in four hours. How much time will be required for
her to plant the remaining 1,100 tulips?
A 5.5 h
B 11 h
C 22 h
D 26 h
3
4 André took 2 bags of books to the used book store, receiving $70 for
them. Two months later, he received $200 on another visit to the same
store. If bags of books are of roughly equal value, about how many bags
of books did André sell on his second visit?
A 3 bags
B 4 bags
C 5 bags
D 6 bags
4
22
WESTEST, Grade 7
Copyright © Glencoe/McGraw-Hill
w
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.2.7 Write and evaluate complex algebraic
expressions for word phrases.
1
1 Which expression best represents the sum of two numbers divided by
their product?
A
ab
ab
B
ab
ab
C
ab
2
D
ab
ab
2 West Virginia’s federal congressional delegation has one more
Congressional Representative than it has Senators. Which expression
represents the number of people in the state’s federal congressional
delegation if s is the number of senators?
A s1
B 2(s 1)
C (s 1) 1
D s (s 1)
2
3 The area of a trapezoid can be found by multiplying the height of the
trapezoid by half the sum of the lengths of the bases of the trapezoid.
If a trapezoid has height h and bases of lengths a and b, which
expression represents the area of the trapezoid?
3
A h 1
2(a b)
Copyright © Glencoe/McGraw-Hill
B
1
2
h
ab
C h 12(a b)
D
h
2a
2hb
4 To find the sum of the first n positive integers, you can multiply n by
n 1 and then divide by 2. What is the sum of the first fifteen positive
integers?
A 240
B 210
C 150
D 120
4
WESTEST, Grade 7
23
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.2.8 Write and evaluate complex algebraic
expressions for word phrases.
1 In July 2002, the population of the United States was approximately
288,000,000. At that time, West Virginia’s population was approximately
0.62% that of the United States. What was West Virginia’s approximate
population in July 2002?
A 1.79 104
B 1.79 105
C 1.79 106
D 1.79 107
1
2 One estimate of all the gold so far refined in the world is that it would fit
inside a cube with edges 18 meters long. What would be the mass of such
a cube, if 1 cubic meter of gold has a mass of about 19,300 kilograms?
2
18 m
A
B
C
D
6.25 106 kg
1.13 108 kg
1.13 109 kg
7.19 1012 kg
3 About how many dust mites would fit in one cubic meter?
A 3.7 104 dust mites
B 3.7 107 dust mites
C 3.7 1010 dust mites
D 3.7 1013 dust mites
3
4 What is the approximate volume of a dust mite in cubic meters?
A 2.7 1013 m3
B 2.7 1011 m3
C 2.7 107 m3
D 2.7 104 m3
4
24
WESTEST, Grade 7
Copyright © Glencoe/McGraw-Hill
For Questions 3 and 4, use the fact that approximately
37,000 dust mites would fit in one cubic centimeter.
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.2.9 Solve one-step linear equations containing
whole numbers, fractions, decimals and integers with integer solutions.
1 Solve 3.7k 51.8.
A 14
B 12
C 1.4
D 1.2
1
2 Solve 12m 156.
A 14
B 13
C 12
D 13
2
x
3.
3 Solve 6
3
A
B
C
D
18
3
12
18
4 Julio buys g gallons of gasoline at $1.50 per gallon. His total cost is $12.
What equation can he use to determine how many gallons he purchased?
A 1.5g 12
B 150g 12
C 12g 1.5
Copyright © Glencoe/McGraw-Hill
D
1.5
g
4
12
OBJECTIVE MA.7.2.10 Solve basic inequalities using inverse
operations and graph solutions.
1 Solve 2x 4 10.
A x5
B x7
C x 14
D x7
1
WESTEST, Grade 7
25
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.2.10 (continued)
2 Angela arrives at the mall with $20 in her pocket. Bus fare home is
$1.75. If she wants to ride the bus home, which inequality describes the
amount s that she can spend at the mall?
A s $18.25
B s $18.25
C s $17.75
D s $17.25
2
3 Each gondola on a Ferris wheel can hold up to four people. If the wheel
has twenty gondolas, which inequality best describes the number of
people p that can ride at the same time?
A p 20
B p 40
C p 60
D p 80
3
4 Which is the graph of 8 6x 1?
A
4
2
1
0
1
2
3
4
2
1
0
1
2
3
4
B
C
2
1
0
1
2
3
4
D
1
0
1
5 Solve 37x 1154 .
A x 52
B x 52
C x 52
D x 52
26
WESTEST, Grade 7
2
3
4
5
Copyright © Glencoe/McGraw-Hill
2
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.2.11 Plot lines within the Cartesian coordinate
plane from a table of values.
1 Which table of values was used to draw the
line shown in the graph?
A
x
5
2 1
y
3
1
1
x
y
5
3
2
1
1
1
x
y
2
3
2
1
6
1
x
y
5
2
2
0
1
2
1
y
O
x
B
C
D
2 A Parkersburg asphalt paving company needs to determine the volume
of asphalt required to pave driveways in a new housing development.
Each will be 16 feet wide and 6 inches deep. The table shows various
lengths L in feet and the corresponding volumes V in cubic feet for a
driveway. Which graph shows this information?
L
V
Copyright © Glencoe/McGraw-Hill
A
020 025 030 035 040
160 200 240 280 320
B
V
V
300
300
200
200
100
100
0
C
2
10
20
30
0
L
D
V
300
200
200
100
100
10
20
30
L
20
30
L
10
20
30
L
V
300
0
10
0
WESTEST, Grade 7
27
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.2.11 (continued)
3 Which shows a correct table of values and graph for y 2x 1?
A
B
x 2 1 0
x 2 1 0
4
2
y
2
3
y
x
y
2
5
1
y
x
O
C
2
1
3
x
O
0
1
D
x
y
2
3
y
1
1
0
1
y
x
O
x
O
4 Which shows a correct table of values and graph for y 3x 2?
A
B
x 2 1 0
x 1 0 1
y
4
1
2
y
4
y
x
y
3
5
x
2
2
D
x
y
3
7
WESTEST, Grade 7
2
4
1
1
y
O
O
x
O
0
4
y
28
2
y
O
C
1
4
x
x
Copyright © Glencoe/McGraw-Hill
y
3
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.2.12 Determine the slope of a line from its
graphical representation.
1 What is the slope of line m ?
1
y
x
O
m
A 43
B 34
C
1
4
D
3
4
2
Temperature (C)
2 A large pot of water is brought to a boil. The graph shows the
temperature of the water, in degrees Celsius, at various times after the
water began to boil. What is the slope of the graph?
160
120
80
40
0
1
3
4
2
Time (min)
Copyright © Glencoe/McGraw-Hill
A undefined
B 100
C 1\5
D 0
3 The graph in the coordinate plane of x 2 is shown below. What is the
slope of the graph?
3
y
x2
O
A 1
x
B
1
5
C 0
D undefined
WESTEST, Grade 7
29
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.2.13 Represent and solve real world problems
appropriate for 7th grade using multiple strategies.
1 A container of garlic and cheddar mashed potatoes has two packets in it,
each with four servings of 25g each. If two people follow the directions,
and evenly share one full packet between them, how many calories will
each of them consume?
1
Nutrition Facts
Serving Size 1⁄2 cup as pkgd. (25 g)
1⁄2 cup prepared
Servings Per Container 8
Amount per Serving
As pkgd.
Prepared
90
160
Calories
A 90 Calories
C 320 Calories
B 160 Calories
D 640 Calories
2 In how many ways can you give 1 dollar in change if the only coins
available are quarters, nickels, and dimes?
A 8 ways
B 9 ways
C 15 ways
D 29 ways
2
3 The third place team won half of what the second place team won. How
much did the third place team win?
A $150
B $300
C $450
D $600
3
4 The winners won twice what the second place team won. What did the
winning team take home?
A $150
B $300
C $450
D $600
4
5 Manuel and Linda worked together on a poster for a science project.
Their combined time on the project was 3 12 hours. Linda spent 10%
more time on the project than Manuel. How much time did Linda spend
on the project?
A 1 h 50 min
B 1 h 35 min
C 1 h 30 min
D 1 h 20 min
5
30
WESTEST, Grade 7
Copyright © Glencoe/McGraw-Hill
For Questions 3 and 4, use the following information
At the 12th Annual Roadkill Cookoff in Marlinton, the Pocahontas County
Commissioners won $300 for being the second place team.
Name
Date
Standards Practice
OBJECTIVES MA. 7.2.2, 7.2.3, 7.2.6, 7.2.7, 7.2.13
1
Simply the expression 15x2 3x 18x 5x2.
2
Angelo is preparing a liquid mixture of fertilizer and weed killer
to spray on his lawn. The dispenser can hold 1.8 gallons. Weed
killer comes by the quart, fertilizer by the gallon. If he wants to
use fertilizer and weed killer in a 10:1 ratio, what quantity of
weed killer should be used per full dispenser? Round to the
nearest tenth of a quart.
3
Pam and Eric are remodeling their home in Weirton. They want
to replace the carpet in the living room, hallway, and bedroom
(shaded areas), and panel one wall in the family room.
Dining Room
Kitchen
15
Bedroom
45
Living Room
Family Room
Wall to be panelled 15
25
30
Copyright © Glencoe/McGraw-Hill
60
Part A How many square feet of carpet will be used to cover the living
room, hallway, and bedroom floors?
Part B The family room has an eight foot ceiling. Paneling comes in
four-by-eight-foot sheets, to be put up vertically. How many
panels will be needed?
WESTEST, Grade 7
31
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.3.1 Identify and construct angle-pairs (e.g.,
adjacent, complementary, supplementary, vertical).
For Questions 1–3, use the figure.
1 How many angles are
supplementary to GHJ?
A 4 angles
B 3 angles
C 2 angles
D 1 angle
J
1
E
67
A
H
L
K
B
67
F
2 Which angle(s) are adjacent
to GHJ?
A GKL
C BHK
G
N
D
M
C
2
B GHA, AHK
D GHA, JHK
3 Which angle is complementary to HBN ?
A EBN
B ABF
C EBA
D JBN
3
OBJECTIVE MA.7.3.2 Use a formula to determine the sum of the
measures of the interior angles of a polygon.
1
2 What is the sum of the measures of the
interior angles of a school crossing sign?
A 540
B 450
C 360
D 180
2
3 A stop sign is a regular octagon. What is the measure of one of its
interior angles?
A 120
B 135
C 180
D 1,080
3
32
WESTEST, Grade 7
Copyright © Glencoe/McGraw-Hill
1 The formula for the sum S of of the measures of the interior angles of an
n-sided polygon is S 180(n 2). What is the sum of the measures of
the interior angles of a hexagon?
A 450
B 540
C 630
D 720
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.3.3 Use 2-dimensional representations of
3-dimensional objects to visualize and solve problems.
Use the figure at the right for Questions 1–3.
1 If there are no hidden hollows, how many cubes
are in the construction?
A 6 cubes
B 8 cubes
C 9 cubes
D 10 cubes
1
2 If each small cube has edges that are 1 centimeter long, what is the
length of the largest cube you could make by using some or all of the
small cubes in the figure?
A 1 cm
B 2 cm
C 3 cm
D 4 cm
2
3 If you paint all of the exposed faces of the small cubes, including those
on the bottom, how many small faces will you paint?
A 36 faces
B 30 faces
C 24 faces
D 18 faces
3
OBJECTIVE MA.7.3.4 Identify and construct congruent segments and
angles, perpendicular bisectors of segments and angle-bisectors.
1
Copyright © Glencoe/McGraw-Hill
1 What kind of geometric construction is shown?
A
B
C
D
Constructing an angle congruent to a given angle
Bisecting a segment
Constructing a segment congruent to a given segment
Bisecting an angle
WESTEST, Grade 7
33
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.3.4 (continued)
2 What kind of geometric construction is shown?
A Bisecting a line
C Bisecting an arc
B Bisecting an angle
D Bisecting a segment
3 What is the next step in constructing an angle Y congruent to angle X?
A
3
D
Y
X
B
A
B
C
D
2
C
Connect point Y and the arc labeled D.
Place the compass point at B and open the compass to point A.
Place the compass point at C and open the compass to point Y.
Connect point C and the arc labeled D
OBJECTIVE MA.7.3.5 Apply and demonstrate line symmetry.
V
C
D
M
N
2 Which of the following real-world objects has a vertical line of
symmetry?
A Traffic stoplight (front view)
B Automobile (side view)
C Heads side of a nickel
D A computer keyboard
34
WESTEST, Grade 7
1
2
Copyright © Glencoe/McGraw-Hill
1 Which of the following letters has a horizontal line of symmetry?
A
B
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.3.5 (continued)
3
3 For a point with coordinates (20, 18) in a coordinate plane, what are
the coordinates of its reflection in the y-axis?
A (20, 18) B (20, 18)
C (20, 18)
D (20, 0)
OBJECTIVE MA.7.3.6 Apply transformations (rotations, reflections,
translations) to plane figures using graph paper.
1 Which triangle do you obtain if you reflect ABC in the x-axis?
1
y
B
A
x
O
C
A
y
B
B
y
O
C
x
A
A
B
O x
C
C
D
y
Copyright © Glencoe/McGraw-Hill
B
x
C
C
x
O
A
O
y
A
B
2 A square has vertices with coordinates (6, 1), (6, 5), (2, 1), and (2, 5).
If the square is translated using (x, y) → (x 7, y 3), what are the
coordinates of the image of (6, 1)?
A (1, 2)
B (1, 2)
C (1, 4)
D (1, 4)
2
WESTEST, Grade 7
35
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.3.6 (continued)
3 Which figure do you get if you rotate the
figure at the right counterclockwise
270 degrees around the origin?
3
y
x
O
A
B
y
x
O
C
y
D
y
O
x
O
y
x
O
x
OBJECTIVE MA.7.3.7 Solve ratio and proportion problems including
scale drawings and similar polygons.
For Questions 1 and 2, use the
two similar trapezoids shown
at the right.
30 cm
12 cm
18 cm
20 cm
1
B 60 cm, 30 cm
D 60 cm, 40 cm
2 What is the ratio of the perimeter of the smaller trapezoid to the
perimeter of the larger trapezoid?
A 1:2
B 2:3
C 3:4
D 5:6
2
3 The lengths of the sides of four triangles are given below. All lengths are
in centimeters. Two of the triangles are similar. Which triangles are they?
Triangle 1: 15, 12, 9
Triangle 2: 20, 25, 15
Triangle 3: 12, 16, 24
Triangle 4: 22, 11, 12
A Triangles 1 and 2
B Triangles 2 and 3
C Triangles 3 and 4
D Triangles 2 and 4
3
36
WESTEST, Grade 7
Copyright © Glencoe/McGraw-Hill
1 What are the lengths of the bases
of the larger trapezoid?
A 45 cm, 30 cm
C 45 cm, 40 cm
Name
Date
Standards Practice
OBJECTIVES MA.7.3.1, MA.7.3.2, MA.7.3.3, MA.7.3.4, MA.7.3.5, MA.7.3.6, MA.7.3.7
1
How many lines of symmetry does a circle have? What point do
all of these lines of symmetry have in common?
2
The triangle below is translated using (x, y) → (x 2, y 1).
What are the coordinates of the vertices of the image triangle?
y
A
O
x
C
B
3
Traffic engineers in Charleston are considering the design of an
intersection at which three roads will cross.
|
A
F
C
d 70
c
E
X a
b
30
D
Copyright © Glencoe/McGraw-Hill
B
Part A If they design it as shown, what will be ma, mb, mc, and
md?
Part B Of a, b, c, and d, which are adjacent angles? Vertical
angles?
WESTEST, Grade 7
37
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
1 Earth is not a perfect sphere, but its equator is almost a circle. If the
radius of Earth at the equator is 6,378 kilometers, what is its
circumference? Round to the nearest kilometer.
A 127,796,483 km
B 125,897 km
C 80,148 km
D 40,074 km
1
2 Water is typically considered comfortable for swimming if it is within a
few degrees of 82 degrees Fahrenheit. What would a water temperature
of 30 degrees Celsius be in Fahrenheit?
A 54°F
B 85°F
C 86°F
D 87°F
2
3 A geodesic dome is roughly a half-sphere. If the height at the center of a
building built in the shape of a geodesic dome is 4 meters, what is its
approximate volume? Round to a whole number.
A 34 m3
B 50 m3
C 100 m3
D 134 m3
3
OBJECTIVE MA.7.4.2 Use the concept of volume for prisms, pyramids,
and cylinders as the relationship between the area of the base and height.
1 The pyramid shown at the right has a square
base and a volume of 32 cubic feet. What is the
height of the pyramid?
A 2 ft
B 6 ft
C 8 ft
D 12 ft
38
WESTEST, Grade 7
1
4 ft
Copyright © Glencoe/McGraw-Hill
OBJECTIVE MA.7.4.1 Use and apply formulas in problem solving
situations involving perimeter, circumference, area, surface area, distance
and temperature (Celsius, Fahrenheit).
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.4.2 (continued)
2 The area of a base of a cylinder is 45 square centimeters. The height of
the cylinder is 10 centimeters. What is the volume of the cylinder?
A 225 cm3
B 450 cm3
C 4,500 cm3
D 15,904 cm3
3 What is the volume of the 4-meter
section of air duct shown in the
figure?
A 320 m3
B 48 m3
C 1.92 m3
D 0.192 m3
2
3
4m
60 cm
80 cm
OBJECTIVE MA.7.4.3 Use the Pythagorean Theorem to find the
length of any side of a right triangle.
Copyright © Glencoe/McGraw-Hill
1 What is the length a to the nearest tenth
of a centimeter?
A 8.7 cm
B 7.5 cm
C 3.9 cm
D 3 cm
1
10 cm
2 A Martinsburg radio station is erecting a transmission
tower 65 meters tall. Three guy wires must be
attached at the top and anchored at positions
30 meters from the base. What is the length of
each guy wire? Round to the nearest meter.
A 31 m
B 72 m
C 95 m
D 5,125 m
5 cm
a
2
guy wire
65 m
30 m
WESTEST, Grade 7
39
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.4.3 (continued)
3 Michelle followed computer directions to reach her destination. She
traveled 35 miles due north, then due west for 12 miles. Had a direct
route been available, what distance would she have traveled instead?
A 23 mi
B 35 mi
C 37 mi
D 47 mi
3
1 Jose and Carl are driving in Canada. They see a sign saying Toronto is
100 kilometers away. They then drive towards Toronto at 65 miles per
hour for 30 minutes. About how many kilometers do they have left to go?
(Hint: One mile is about 1.61 kilometers.)
A 56.3 km
B 47.7 km
C 35 km
D 32.5 km
1
2 Renée is from France. Outside her apartment window in Charleston she
sees a bank display indicating the outdoor temperature is 55 degrees. She
needs the temperature converted to Celsius in order to decide whether to
wear a coat. What is the temperature in degrees Celsius? Round to the
nearest tenth.
A 65.5° Celsius
B 48.3° Celsius
C 12.8° Celsius
D 5.5° Celsius
2
3 A rectangular plot of land is 300 yards by 550 yards. What is its area in
square miles? Round to the nearest thousandth.
B 0.053 mi2
A 0.006 mi2
C 5.3 mi2
D 281.25 mi2
3
4 In a science class, Shane is directed by a formula to include one third
liter of water in a mixture. How many milliliters of water must he use?
A 33.3 mL
B 333.3 mL
C 666.6 mL
D 1,000 mL
4
40
WESTEST, Grade 7
Copyright © Glencoe/McGraw-Hill
OBJECTIVE MA.7.4.4 Convert units of measurement within and
between customary and metric systems.
Name
Date
Standards Practice
OBJECTIVES MA.7.4.1, 7.4.2, 7.4.3, 7.4.4
1
An ocean freighter encounters
a sailboat at sea. When the
freighter is 2 miles from the
A
B
sailboat, it turns to port and
travels a half-circle around the sailboat. It then turns to port
again and continues on its way. What extra distance did the
freighter travel by honoring the “sailboat has the right of way”
rule (ignoring the fact that if it had gone straight, it might have
run into the sailboat)? Round to the nearest hundredth of a mile.
2
Roberta wants to have a banner made
for her club in the shape of an isosceles
triangle. How many square feet of fabric
will be required for the banner? (Ignore
the extra fabric required for hems.)
Copyright © Glencoe/McGraw-Hill
3
2 ft
30 in.
In 1965 NASA built a “Vehicle Assembly Building” (VAB). Its
base is 158 meters wide by 218 meters long. The height of the
building is 160 meters.
Part A The VAB has one of the greatest enclosed volumes of any
building in the world. If it were a rectangular prism with the
above dimensions, what would be its volume?
Part B The VAB’s sides have a mix of insulated aluminum panels and
plastic panels. If the building were a prism with the above
dimensions, and neglecting openings, how many square meters
of siding would have been required?
WESTEST, Grade 7
41
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.5.1 Determine experimental and theoretical
probability of an event using appropriate technology.
1 The Morgantown high school football team gets to receive the first
kickoff at the beginning of a game if it wins the coin toss. In a 12-game
season, how many times are they likely to receive the first kickoff?
A 3 games
B 5 games
C 4 games
D 6 games
1
2 Suppose you spin both spinners shown below. You make a two-digit
number by using the number from the first spinner as the tens digit and the
number from the second spinner as the ones digit. What is the probability
that the two-digit number you get will be evenly divisible by 11?
2
3
1
2
2
4
4
3
7
5
6
C
1
2
1
8
B
D
1
6
1
12
3 Fourteen girls and 12 boys will try out for parts in a school play. Each
person will have to read a few lines for the drama coach. If names are
drawn at random, what is the probability that the first person in the
tryout will be a girl?
A
C
1
14
7
13
B
D
3
6
13
7
6
Copyright © Glencoe/McGraw-Hill
A
OBJECTIVE MA.7.5.2 Construct sample spaces by listing, tree
diagrams, and frequency distribution tables to determine combinations
and permutations.
1 Anne is going swimming with five friends. Three friends will ride with
Anne in her car, and the other two will go in another car. In how many
ways can she choose the three who will ride with her?
A 3 ways
B 6 ways
C 10 ways
D 12 ways
42
WESTEST, Grade 7
1
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.5.2 (continued)
2 The photographer for a high school yearbook asks 8 students to line up
from left to right for a group photo. In how many ways can the students
line up?
A 256 ways
B 512 ways
C 20,160 ways
D 40,320 ways
2
3 Juanita is selecting lunch items at a cafeteria. She will choose a meat dish,
a vegetable, and a dessert. There are 4 meat dishes, 4 vegetables, and
3 desserts. Use a tree diagram to find how many lunches are possible.
A 22 lunches
B 24 lunches
C 48 lunches
D 96 lunches
3
OBJECTIVE MA.7.5.3 Collect, organize, graphically represent, and
interpret data displays including: frequency distributions, line-plots,
scatter plots, box and whiskers, and multiple-line graphs.
Copyright © Glencoe/McGraw-Hill
1 Darlene made a frequency table of students in her class who got full
credit for the questions on a five-question science test. Frank made a
frequency table to show how many students got less than full credit. For
which question is it most clear that the tables do not agree?
Darlene
(full credit)
Question
Tally
Frequency
1
|||| |
06
2
|||| ||||
09
3
|||
03
4
|||| |||| |
11
||||
05
5
A Question 1
C Question 3
Frank
(less than full credit)
Question
Tally
Frequency
1
|||| ||||
09
2
|||| |
06
3
|||| |||| ||
12
4
|||
03
|||| ||||
10
5
B Question 2
D Question 4
2 About what percentage of the population is above the lower quartile?
19
36
7
0
5
1
2
45
58
10 15 20 25 30 35 40 45 50 55 60
A 100%
B 75%
C 50%
D 25%
WESTEST, Grade 7
43
Name
Date
Standards Practice
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
OBJECTIVE MA.7.5.3 (continued)
3 A shopping mall ice cream shop sells cones, sundaes, and cartons of ice
cream. The graph shows information on sales of single-flavor ice cream
cones for one Saturday morning. Which is a correct conclusion based on
the graph?
Vanilla
Chocolate
Pecan
3
Butterscotch Strawberry
A 50% of the single-flavor cones sold were vanilla, strawberry, or
butterscotch.
B The shop always sells more chocolate ice cream than any other flavor.
C 35% of the single-flavor cones sold were chocolate.
D Few people like butterscotch ice cream.
OBJECTIVE MA.7.5.4 Solve application problems involving measures
of central tendency (mean, median, mode) and dispersion (range) from
data, graphs, tables, and experiments using appropriate technology.
The data list gives finishing times to the nearest hundredth of a
second for the breast stroke event at a swim meet. Use the data
for Questions 1–3.
48.10 47.72 49.13 51.92 43.10 47.28 48.02
2 What is the median time?
A 47.72 s
C 48.01 s
3 What is the range?
A 9.00 s
C 7.64 s
44
WESTEST, Grade 7
1
B 47.72 s
D 41.90 s
2
B 47.90 s
D 48.02 s
3
B 8.82 s
D 0.08 s
Copyright © Glencoe/McGraw-Hill
1 What is the mean time?
A 47.90 s
C 43.10 s
Name
Date
Standards Practice
OBJECTIVES MA.7.5.1, MA.7.5.2, MA.7.5.3, MA.7.5.4
1
Throughout April at a West Virginia mountain resort, on average
it snows 6 days. What is the experimental probability that it will
snow on April 1 of next year? Give your answer to the nearest
percent.
2
Here is a graph of sunrise and sunset times in Charleston for 2004.
What date has the closest to exactly twelve hours of daylight?
March 2004 Sunrise/Sunset
Time of Day
6:50
6:40
Sunrise (A.M.)
Sunset (P.M.)
6:30
6:20
6:10
12
16
18
Date
20
22
24
The heights in inches of the first 20 people attending the
opening of a new roller coaster ride are given below. The ride
has a minimum height limit of 4 feet 8 inches.
62, 66, 63, 68, 74, 62, 56, 65, 60, 56
59, 67, 70, 70, 68, 69, 59, 60, 70, 72
Part A Create a frequency distribution table of the heights of those
present who will be allowed to ride the roller coaster. Use
intervals of 5 inches.
Copyright © Glencoe/McGraw-Hill
3
14
Part B Identify the range, mean, median, and mode of all those who
were allowed to ride.
WESTEST, Grade 7
45
Name
Date
Sample Test
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
1 Which angle(s) is/are vertical to LKM?
G
1
J
H
B
L
K
M
A LKH
C MKF
B HKF, GHB
D HKF
2 A police detective needs to make an imprint of an automobile tire to
compare with a partial tire track found at a crime scene. The outer diameter
of the tire to be examined measures 24 inches. How long must the
imprint be for the detective to get exactly one entire tire print?
A 24 in.
B 122 in.
C 144 in.
D 1442 in.
2
3 Mrs. Viola is having a new rectangular cement driveway built. If the
distance from the street to her garage is 30 feet, the garage opening is 18
feet wide, and the cement is to be poured to a depth of six inches, what
is the volume of cement required?
A 90 ft3
B 108 ft3
3
C 10 yd
D 270 yd3
3
4 Evaluate 4x2 x |1 2x| for x 3.
A 38
B 40
C 44
D 46
4
5 Raul is planning his purchase of a mountain bicycle. He must chose
between 24-inch or 26-inch tires, decide on 18 or 21 gears, and select an
aluminum or a steel frame. How many different bicycles can he select
from if he considers only these features?
A 4 bicycles
B 6 bicycles
C 7 bicycles
D 8 bicycles
5
46
WESTEST, Grade 7
Copyright © Glencoe/McGraw-Hill
F
Go on
Name
Date
Sample Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
6 The formula to convert degrees Celsius to degrees Kelvin is
K C 273.15. Find the values of a and b needed to complete the table.
Kelvin
Celsius
A
B
C
D
0
a
100
173.15
200
b
300
26.85
a 273.15, b 473.15
a 32, b 392
a 273.15, b 73.15
a 273.15, b 73.15
7 Solve 45y 12 for y.
Copyright © Glencoe/McGraw-Hill
A
B
C
D
6
7
12
14
15
20
8 The price of regular gasoline at the pump in Charleston is $1.399 per
gallon. If your mother tops off her car’s tank with 614 gallons, what must
she pay assuming the cost is rounded up to the nearest whole cent?
A $8.67
B $8.69
C $8.75
D $8.95
8
9 Alan throws ten darts at a dartboard, hitting it every time. Of the ten
darts, two land in the bulls eye. What is the experimental probability that
his next dart will miss the bulls eye?
A 0.5
B 0.7
C 0.8
D 0.9
9
10 Simplify 2(x2)3 ( |6(x)5| 3). Assume x is nonnegative.
A 4x5 3
B 2x6 6x5 3
C x6 6x5 3
D 2x6 6x5 3
10
Go on
WESTEST, Grade 7
47
Name
Date
Sample Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
11 To use mental math to calculate (5 48) (5 2), which property would
be most useful?
A Distributive Property
B Associative Property of Multiplication
C Commutative Property of Addition
D Identity Property of Multiplication
11
12 A factory in Martinsburg produces 17-inch plastic chair legs. To be
usable, the legs must be no shorter than 16.95 inches and no longer than
17.05 inches. In the last production run, 10 legs were selected at random.
Their lengths in inches are shown in the table. What is the experimental
probability that the next leg manufactured will be within specifications?
12
16.93
16.98
17.01
17.06
16.97
17.00
A 0.9
C 0.7
16.96
17.03
B 0.8
D 0.6
13 A locally-owned company opened shoe stores in two new shopping
malls a year ago. Which kind of data display would be most helpful in
comparing the sales at the new stores over the past twelve months?
A frequency distribution
B line plot
C box-and-whisker plot
D multiple-line graph
13
14 Which inequality is true?
14
A
1
5
14
C 7.12 7.2
B 6 7
D
22
7
281
15 The heights of two trees are proportional to their diameters. The first
tree is 30 feet tall and is 2 feet in diameter. The second tree is 5 feet in
diameter. How tall is the second tree?
A 75 ft
B 65 ft
C 60 ft
D 15 ft
48
WESTEST, Grade 7
Copyright © Glencoe/McGraw-Hill
17.02
17.01
15
Go on
Name
Date
Sample Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
16 What is the slope of line n?
16
y
n
O
1
2
A 1
B
C 1
D undefined
17 Scores on a make-up math test were 82, 93, 76, 98, 74, 62, 87, and 88.
What was the mean score?
A 82.5
B 84.5
C 87.4
D 94.3
17
18 Which expression is described by “the sum of a number squared plus the
square root of the product of the first number squared and a second
number”?
18
a2b
A C a2 a2b
Copyright © Glencoe/McGraw-Hill
x
B a2 a2b
2 ab
D a
19 The volume of a cylinder is 32 cubic units. The area of its base is
4 square units. What is the height of the cylinder?
A 4 units
B 8 units
C 16 units
D 28 units
19
20 The diagonals of a rhombus are perpendicular and bisect each other. The
lengths of the diagonals of the rhombus in the figure are 10 feet and
18 feet. About how long are the sides of the rhombus?
20
A 10.0 ft
C 10.7 ft
B 10.3 ft
D 10.8 ft
Go on
WESTEST, Grade 7
49
Name
Date
Sample Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
3
y 5 19.
21 Solve 5
21
A y 40
B y 40
C y 730
D y 40
22 Use mental math to calculate 25
36
.
A 11
B 14
C 25
D 30
22
23 The figure shown below was obtained by removing small cubes from a
cube that originally had 3 small cubes along each edge. How many small
cubes were removed?
23
A 5 cubes
C 19 cubes
B 16 cubes
D 53 cubes
24 Which sides of the parallelogram are congruent?
D
A
C
B
only A
B
and C
D
only A
D
and B
C
A
B
, C
D
, A
D
, and BC
A
B
and CD
, A
D
and B
C
25 A triangle with vertices (5, 6), (1, 3), and (3, 4) is reflected in the
y-axis. What are the coordinates of the vertices of the image triangle?
A (5, 6), (1, 3), (3, 4)
B (5, 6), (1, 3), (3, 4)
C (5, 6), (1, 3), (3, 4)
D (5, 6), (1, 3), (3, 4)
50
WESTEST, Grade 7
Copyright © Glencoe/McGraw-Hill
A
B
C
D
24
25
Go on
Name
Date
Sample Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
26 The table shows rain-gauge readings taken at 10-minute intervals during
a recent storm. Which graph shows the cumulative rainfall?
C
B
16
12
8
4
0
10 20 30
Time (min)
40
Time (min)
16
12
8
4
0
10 20 30 40
Cumulative Rainfall (mm)
Copyright © Glencoe/McGraw-Hill
10
3.5
D
Cumulative Rainfall (mm)
0
0
Cumulative Rainfall (mm)
A
Cumulative Rainfall (mm)
Time Since Rain Started (min)
Total Amount of Rain (mm)
20
7
30
10.5
26
40
14
16
12
8
4
0
5
10 15
Time (min)
20
6
2
4
Time (min)
8
16
12
8
4
0
27 West Virginia’s highest peak, Spruce Knob, is 4,861 feet above sea level.
In a scale drawing, the height of Spruce Knob is 11 inches. What is the
appropriate scale of the drawing?
A 1:5,300
B 1:4,500
C 1:2,300
D 1:700
27
28 The box-and-whisker plot
summarizes automobile speeds
measured on a residential street in
Weirton. What is the range of the
data?
A 38 mph
B 37 mph
28
10
18
27
3
0
40
5
10 15 20 25 30 35 40 45
C 28 mph
D 20 mph
29 The doctor measures Anne’s height, and tells her it is 1.55 meters. One
meter equals about 39.37 inches. How tall is she in inches? Answer to
the nearest inch.
A 61 in.
B 60 in.
C 59 in.
D 58 in.
29
Go on
WESTEST, Grade 7
51
Name
Date
Sample Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
ax(x 2)
30 Simplify the following: 2
30
a
x2 2x
a
C a(x2 2x)
B x2 2x
D
x 2x
a
31 In July, 2003 the Voyager 1 spacecraft was 13.3 billion kilometers from
the Sun. Voyager 2 was 10.6 billion kilometers from the Sun. How much
further was Voyager 1 than Voyager 2 from the Sun?
B 2.7 108 km
A 2.7 106 km
C 2.7 109 km
D 2.7 1012 km
31
32 What is the sum of the measures of the interior angles of the polygon?
32
A 540
C 900
B 720
D 1,080
33 The land area of West Virginia is 24,087 square miles. In the United
States Census of April 2000, the population of West Virginia was
1,808,344. What was the approximate number of people per square mile
in West Virginia at that time?
A 7.5 people per mi2
B 75 people per mi2
C 76 people per mi2
D 80 people per mi2
33
34 Which is not a rational number?
34
A 100
C
1
4
B
45
9
D 2
35 What is the next number in the pattern?
2, 5, 12, 19, …
A 26
B 25
C 24
D 23
52
WESTEST, Grade 7
Copyright © Glencoe/McGraw-Hill
A
35
Go on
Name
Date
Sample Test
(continued)
Read each question and choose the best answer. Then write the letter for
the answer you have chosen in the blank at the right of each question.
36 The Murphy family will tile their kitchen floor with tiles like the one
shown in the figure. How many lines of symmetry does the tile have?
A 2 lines
C 4 lines
36
B 3 lines
D 6 lines
37 What is the Greatest Common Factor of these expressions:
24x3, 18x2, 30x?
A 2x
B 3x
C 6x
D 2x2
37
38 Jillian wants to take a jog around the pond.
It takes her 5 minutes to reach the pond via
the path from her house. If she stays on the
path and maintains the same speed all the
way, estimate how long will it take her from
the time she leaves her home until she
returns to it.
A 30 min
B 40 min
C 55 min
D 1 h 10 min
38
Pond
Path
House
Copyright © Glencoe/McGraw-Hill
39 A shopkeeper standing in his doorway spots a bird on top of the building
across the street. His eye is six feet above the ground. How far away is
the bird, to the nearest foot?
39
d
20 ft
6 ft
60 ft
A 60 ft
C 63 ft
B 62 ft
D 64 ft
40 The finishing times, in seconds, for a horse race were 119.4, 119.97,
120.0, 120.2, 120.2, 120.6, and 120.9. What is the mode?
A 119.4 s
B 120.2 s
C 120.6 s
D 120.9 s
40
Go on
WESTEST, Grade 7
53
Name
Date
Sample Test
(continued)
41
At sundown last night, the temperature was 50 degrees Fahrenheit.
At midnight it was 12 degrees colder. At 4 A.M. it was 6 degrees
colder than that, but by 10 A.M. it had risen 14 degrees from the
4 A.M. measurement. From 10 A.M. until 2 P.M., the temperature
rose another 5 degrees, then decreased 12 degrees by sundown.
What was the temperature at sundown today?
42
Find the LCM of the denominators of the fractions 170 , 154 , and
33
.
35
43
What is the sum of these fractions?
If you rotate the figure counterclockwise 90 degrees around the
origin, what are the coordinates of the vertices of the image?
y
x
Copyright © Glencoe/McGraw-Hill
O
Go on
54
WESTEST, Grade 7
Name
Date
Sample Test
44
(continued)
Shannon and Dennis are refurbishing an old barn.
15 ft
20 ft
60 ft
25 ft
Part A The roof needs new shingles. What is the surface area of the
roof?
Part B The exterior sides need paint. What is the surface area of the four
sides? Note that two sides have triangular portions.
Copyright © Glencoe/McGraw-Hill
45
Louis is designing a game. A player flips
a marker onto the game board and gets the
number of points on the box. Markers land
randomly on the board, and each square is
equal in size to the other squares.
0
2
0
2
10
2
0
2
0
Part A What is the probability of getting a 0 on any
one flip? A 2? A 10?
Part B If a player flips a marker onto the board 100 times, what is his
most likely total score?
STOP
WESTEST, Grade 7
55