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Student Name: ______________________
Teacher:
______________________
District:
Miami-Dade County Public Schools
Assessment:
9_12 Mathematics Algebra I Exam 2
Description:
ALG I Topic 5: Linear Models - Part B
Form:
201
Date: ___________
1. Sara lit a new candle and then recorded its height in inches every hour as (time, height).
Her results were
Which statement is true?
MAFS.912.S-ID.3.7
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The
was
The
B.
was
The
C.
was
The
D.
was
A.
height of the
20 inches.
height of the
1.6 inches.
height of the
20 inches.
height of the
18.4 inches.
candle decreases by 1.6 inches every hour, and its original height
candle decreases by 20 inches every hour, and its original height
candle decreases by 9.6 inches every hour, and its original height
candle decreases by 1.6 inches every hour, and its original height
2. The students of Lincoln High School are raising money to support the sports teams. A
local organization donated boxes of popcorn and candy for the students to sell. The
freshmen are selling boxes of popcorn for $2 each, and the sophomores are selling
boxes of candy for $4 each. The students' target is to raise more than $800. The
sophomores expect to sell at most 100 boxes of candy. Let x represent the number
of boxes of popcorn sold and y represent the number of boxes of candy sold. Which pair
of inequalities models the given situation?
MAFS.912.A-CED.1.3
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A.
B.
C.
D.
3. The graph of a linear function
is shown below.
Which of these statements correctly compares the graphed function
MAFS.912.F-IF.3.9
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A. The rate of change of
B.
The rate of change of
C.
The rate of change of
D. The rate of change of
to the function
4. A student is trying to determine whether there is an association between the number of
years of education and the amount of money a person makes. Which of the following
would be a reasonable correlation coefficient and interpretation for this situation?
MAFS.912.S-ID.3.8
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A.
B.
C.
D.
The correlation coefficient is
which indicates no association between the number
of years of education and the amount of money a person makes.
The correlation coefficient is
which indicates a strong positive linear association
between the number of years of education and the amount of money a person makes.
The correlation coefficient is
which indicates a strong positive linear association
between the number of years of education and the amount of money a person makes.
The correlation coefficient is
which indicates a weak negative linear association
between the number of years of education and the amount of money a person makes.
5. Which function is represented by the input-output table below?
MAFS.912.F-LE.1.2
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A.
B.
C.
D.
6. As a part of a science experiment, Gary makes a small hole in the bottom of a bottle full
of water. He records the amount of water left in the bottle at the end of each minute. He
repeats this experiment several times and uses the data to develop the linear model
which describes the amount of water remaining in the water bottle, in w
milliliters, after m minutes. Which statement is a correct interpretation of this linear
model?
MAFS.912.S-ID.3.7
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A. The water
The water
B.
water.
The water
C.
minutes.
The water
D.
water.
bottle holds 1,200 milliliters of water and loses 50 milliliters per minute.
bottle starts with 1,200 milliliters of water and ends with 24 milliliters of
bottle holds 1,200 milliliters of water and loses 1 milliliter of water every 50
bottle starts with 1,200 milliliters of water and loses exactly 50 milliliters of
7. The recursive formula for a sequence of numbers is shown.
Which equation would produce the same sequence of numbers as the recursive formula
shown?
MAFS.912.F-IF.1.3
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A.
B.
C.
D.
8. On a winter day, it started snowing lightly at 4 a.m. and then heavier at 8 a.m. By 10 a.m.
it stopped, and the total snowfall recorded was 3 inches. It didn’t snow for the rest of the
day. Which of these is a possible graph for the number of inches of snow as a function of
time, from midnight to midday?
MAFS.912.F-IF.2.4
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A.
B.
C.
D.
9. Which statement is an example of causation?
MAFS.912.S-ID.3.9
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A.
When it rains, the playground gets wet.
The height of children increases as their running speed increases.
The increase in the number of ice-cream cones a vendor sells causes an increase in
C.
temperature.
Students who eat a good breakfast each day are more physically active than those
D.
who skip breakfast.
B.
10. Based on last week’s sales, a store manager concluded that by pricing the store’s pack
of 12 donuts at $8, the store will sell about 80 packs per day. Raising the price to $8.50
per pack of 12 donuts will cause sales to fall to about 76 packs per day. If a
linear model based on this data is used to predict the daily sales of y packs of donuts
when the price per pack is x dollars, which statement is true about the slope of this
linear model?
MAFS.912.S-ID.3.7
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A.
B.
C.
D.
If the
1.
If the
1.
If the
4.
If the
8.
price per pack increases by $8, the number of packs sold per day decreases by
price per pack increases by $4, the number of packs sold per day decreases by
price per pack increases by $1, the number of packs sold per day decreases by
price per pack increases by $1, the number of packs sold per day decreases by
11. The first five terms of an arithmetic sequence are 5,11,17,23,29. What is the rule for the nth term of this sequence?
MAFS.912.F-LE.1.2
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A.
B.
C.
D.
12. The length, x, of a rectangular garden is 4 times the width, y. Cody estimates that the
perimeter of the garden is 70 meters. Which system of equations models the dimensions
of the garden?
MAFS.912.A-CED.1.3
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A.
B.
C.
D.
13. Two different functions are shown below. One is written as an equation, and the other is
given as a table of values.
Which mathematical sentence correctly compares the y-intercept of function A to the
y-intercept of function B?
MAFS.912.F-IF.3.9
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A.
B.
C.
D.
14. Jim borrowed $850 to purchase a stereo system for his car. He has been making
payments each week for the last four weeks. The chart below shows the history of his
loan balance.
In the linear function that models these data, x represents the week and y represents
the balance of the loan. What is the slope of the function?
MAFS.912.F-IF.2.4
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A.
B.
C.
D.
15. The values in the table came from a recent survey on the number of hours students spend on social media. Which
equation listed below best represents this data and predicts the value of f(x) when x is equal to six?
Number of Hours Spent
Using Social Media
x
0
1
2
3
4
5
6
MAFS.912.F-LE.1.2
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A.
f(x) = 1/17x + 3; 3.4
B.
f(x) = 3x + 17: 35
C.
f(x) = 17x + 3; 135
D.
f(x) = -3x + 17; 1
Number of Students
f(x)
3
20
37
54
71
88
?
16. The scatter plot below shows how the weight of a baby alligator changed after hatching.
Which equation best represents the weight, w, of this alligator n weeks after hatching?
MAFS.912.S-ID.2.6.c
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A.
B.
C.
D.
17. A farmer has a crop of 2,000 orange trees at the beginning of this year. Each year, the
farmer plans to plant 250 new trees. Assuming all of the trees from one year live into the
next, which explicit formula below can be used to determine the total number of orange
trees,
on this farm at the end of the
year?
MAFS.912.F-BF.1.1.a
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A.
B.
C.
D.
18. The scatter plot compares the amounts Dave and Steve saved each month.
Which scatter plot shows the line of best fit that most accurately represents the
relationship between Dave’s and Steve’s savings?
MAFS.912.S-ID.2.6.c
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A.
B.
C.
D.
19. As part of a science project, Andy surveys several students in his class to determine their
energy levels throughout the day. He asks the students to rate their energy level on a
scale from 1 to 10, where 10 is the highest energy level possible and 1 is the lowest
energy level possible. Andy then finds the average energy level for the class for each
hour after the school day begins until the end of the day. He graphs his data as shown
below.
He observes that students seem to have less energy as the day progresses. Which of
these statements is true?
MAFS.912.S-ID.3.9
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A.
Andy’s study shows causation.
B.
Andy’s study shows correlation.
C.
Andy’s study shows both correlation and causation.
D.
Andy’s study shows neither correlation nor causation.
20. Jessie deposited $6,000 in a savings account. The amount in the account after 1, 2, and
3 years is shown below.
$6,240, $6,480, $6,720, ...
Which expression represents the total amount in her account at the end of t years?
MAFS.912.F-BF.1.1.a
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A.
B.
C.
D.
21. A fitness center introduces two offers. The first offer charges $27 per month plus $34
enrollment fee. The other offer charges $30 per month plus $22 enrollment fee. Which of
these statements is true?
MAFS.912.A-CED.1.3
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A. The first offer is always less expensive.
B.
The second offer is always less expensive.
C.
The first offer is less expensive for the first 3 months.
D. The second offer is less expensive for the first 3 months.
22. A function is given as
and the function
is seen in the table below.
Which statement is true?
MAFS.912.F-IF.3.9
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A. The function
has a greater rate of change than the function
B.
The function
has a greater rate of change than the function
C.
The function
has a greater x-intercept than the function
D. The function
has a greater y-intercept than the function
23. The water in a swimming pool is being drained. The function shown in the graph below
represents the amount of water in gallons that remains in the pool after x minutes.
At what rate does the water drain?
MAFS.912.F-IF.2.4
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A.
9 gallons per minute
B.
500 gallons per minute
C.
540 gallons per minute
D.
4,500 gallons per minute
24. What is the best estimation of the correlation coefficient of the data represented in
the graph below?
MAFS.912.S-ID.3.8
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A.
B.
C.
D.