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TEST NAME: CMS Foundations of Math I ­ Unit 1­5 District Benchmark
TEST ID: 563310
GRADE: 08 ­ 09
SUBJECT: Mathematics
TEST CATEGORY: School Assessment
CMS Foundations of Math I - Unit 1-5 District Benchmark
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05/07/15, CMS Foundations of Math I ­ Unit 1­5 District Benchmark
Student: Class:
Date:
1.
Simplify: 6 + 3(2 + 4) – 23 ÷ 8
2.
Evaluate the expression if a = 2, b = 8, c = 3, and d = 1
3.
If x = 9 and y = 7, then find the value of 3x +xy3 4.
Which expression represents the sum of (2x – 5y) and (x + y)? A.
3x ­ 4y
B.
3x ­ 6y
C.
x ­ 4y
D.
x ­ 6u
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5.
Which expression is equivalent to ? Assume the denominator does not
equal zero.
A.
B.
C.
D.
6.
Simplify the expression below. 3xy(9xy + 14x)
A.
B.
C.
D.
7.
What is divided by 3m?
A.
B.
C.
D.
CMS Foundations of Math I - Unit 1-5 District Benchmark
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Use the GCF of the terms to factor the polynomial.
8.
A.
B.
C.
D.
Solve: 3(x + 5) = 2x + 35
9.
Step 1: 3x + 15 = 2x + 35
Step 2: 5x + 15 = 35
Step 3: 5x = 20
Step 4: x = 4
Which is the first incorrect step in the solution show above?
A.
Step 1
B.
Step 2
C.
Step 3
D.
Step 4
10.
Beth is two years older than Julio. Gerald is twice as old as Beth. Debra is twice
as old as Gerald. The sum of their ages is 38. How old is Beth?
A.
3
B.
5
C.
6
D.
8
CMS Foundations of Math I - Unit 1-5 District Benchmark
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11.
The table below shows the models for the cost, in dollars, for renting a car for x
miles from two different rental companies. At what number of miles will the cost
be the same?
Company a
Company b
1.25x + 50
1.3x + 40
12.
Suppose the function represents the monthly phone bill, in dollars, for x minutes
of calls. Courtney has $25 now. How many more dollars does Courtney need for
500 minutes of phone calls?
13.
Which of the following represents the data set: 17 22 18 33 14 36 39 41
25 31 18 19 16 21 21
A.
B.
C.
D.
None of the above
CMS Foundations of Math I - Unit 1-5 District Benchmark
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14.
The two­way table shows the places that males and females volunteered in the
past month. How many total females were included in the survey?
A.
14
B.
17
C.
21
D.
52
15.
Rosario and Enrique are in the same mathematics class. On the first five tests,
Rosario received scores of 78, 77, 64, 86, and 70. Enrique received scores of
90, 61, 79, 73, and 87. How much higher was Enrique's average than Rosario's
average?
A.
2 points
B.
3 points
C.
4 points
D.
15 points
CMS Foundations of Math I - Unit 1-5 District Benchmark
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16.
The two­way table below shows the number of hours students studied and
whether they studied independently or with a study group
What is the relative frequency of students that studied independently for more
than two hours?
A.
0.11
B.
0.33
C.
0.25
D.
0.04
17.
What is the difference in the median of Manufacturer A and B?
A.
1
B.
9
C.
2.5
D.
1.5
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18.
The following box and whisker plot represent the number of times students went
to Carowinds over the summer. What percent of students attended Carowinds 38
times or less this summer?
A.
25%
B.
50%
C.
75%
D.
100%
19.
From January 3 to January 7, Buffalo recorded the following daily high
temperatures: 5°, 7°, 6°, 5°, and 7°. Which statement about the temperatures is
true?
A.
mean < median
B.
mean = mode
C.
median = mode
D.
mean = median
CMS Foundations of Math I - Unit 1-5 District Benchmark
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20.
The following relative frequency table shows the students that own electronic
devices. If 300 people participated in the survey, how many people had an MP3
Player and No cell phone?
A.
27
B.
39
C.
171
D.
210
21.
For 10 days, Romero kept a record of the number of hours he spent listening to
music. The information is shown in the table below. Which scatter plot shows
Romero’s data graphically? Day 1 2 3 4 5 6 7 8 9 10
Hours9 3 2 6 8 6 10 4 5 2
A.
B.
CMS Foundations of Math I - Unit 1-5 District Benchmark
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C.
D.
22.
Given this pattern below, which is the 20th term? 5 8 11 14 17
A.
56
B.
62
C.
53
D.
65
23.
Given the pattern below, what is the proper now­next equation? 2.5 5 10 20
A.
Next = Now – 2
B.
a) Next = Now + 2
C.
a) Next = 2Now
D.
a) Next = Now/2
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24.
Given the pattern below, what is the proper now­next equation? 5 8 11 14 17
A.
Next = Now – 3
B.
Next = Now + 3
C.
Next = 3Now
D.
Next = Now/3
25.
A biology student measured the height of a small plant at weekly intervals. The
results obtained are listed in the following table. What is the estimate of the height
in 3.5 weeks? Time
(weeks)
0
1
2
3
4
5 6 7
Height (cm) 1.2 2.5 3.6 4.5 5.3 6.4 7.2 8.3
A.
4.5
B.
4.7
C.
4.9
D.
5.0
26.
Busses run every 9 minutes starting at 6 a.m. You get to the bus stop at 7:16.
How long will you have to wait for the bus to come?
A.
6 minutes
B.
5 minutes
C.
9 minutes
D.
4 minutes
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27.
What is the domain of the relation {(2, 4), (3, 7), (4, 9), (6, 11)}
A.
{2, 3, 4, 6}
B.
{4, 7, 9, 11}
C.
(2, 4)
D.
(2, 4, 3, 7)
28.
If f(x) = 2x + 1, what is f(x­3)?
A.
f(x – 3) = 2x – 5
B.
f(x – 3) = 2x – 2
C.
f(x – 3) = 2x – 6 + 1
D.
f(x – 3) = 5/ 2
29.
Given the function f(x) = x2 ­ 2x – 3, find f(­3)
A.
6
B.
­1
C.
12
D.
18
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