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Algebra 1
Algebra and Modeling
MAFS.912.A-APR.1.1
D
Which expression is equivalent to 2 3𝑔 − 4 − 8𝑔 + 3 ?
A. −2g − 1
B. −2g − 5
C. −2g − 7
D. −2g − 11
MAFS.912.A-APR.1.1
𝑘2 − 13𝑘 + 15
Simplify: 3 3𝑘2 − 4𝐾 + 6 − 8𝑘2 + 𝑘 + 3 ?
MAFS.912.A-APR.1.1
Write an expression which is equivalent to 𝑤(4𝑤3 + 8𝑤4) – (5𝑤3 – 2𝑤5)
10w5 + 4w4 – 5w3
MAFS.912.A-APR.1.1
10𝑥2 − 3𝑥 − 18
Multiply and combine like terms to determine the product of these polynomials.
2𝑥 − 3 5𝑥 + 6
Which expression is equivalent to −2𝑛 3𝑚 + 𝑛 – 7 + 3 −6𝑚 + 2𝑛 + 𝑚 𝑛 + 4𝑚 – 5 ?
A. 4𝑚2 – 5𝑚𝑛 – 23𝑚 + 22𝑛
B. 4𝑚2 + 2𝑛2 – 5𝑚𝑛 – 23𝑚 – 8𝑛
C. 4𝑚2 – 2𝑛2 – 5𝑚𝑛 – 23𝑚 + 20𝑛
D. 4𝑚2 – 2𝑛2 – 6𝑚𝑛 – 23𝑚 + 20𝑛
MAFS.912.A-APR.1.1
C
Consider the polynomial:
2
3𝑥(2𝑥 + 3) − 𝑥 + 7 𝑥 − 7
When simplified, what is the coefficient of the quadratic term?
MAFS.912.A-APR.1.1
1
3
MAFS.912.A-CED.1.1
A parking garage charges a base rate of $3.50 for up to 2 hours, and an hourly rate
for each additional hour. The sign below gives the prices for up to 5 hours of parking.
A. 9.00 + 3𝑥 = 20.00
B. 9.00 + 3.50𝑥 = 20.00
C. 2𝑥 + 3.50 = 14.50
D. 2𝑥 + 9.00 = 14.50 C
Which linear equation can be used to find x, the additional hourly parking rate?
MAFS.912.A-CED.1.1
Sam and Jeremy have ages that are consecutive odd integers. The product of
their ages is 783. Which equation could be used to find Jeremy’s age, 𝑗, if he is the
younger man?
A. 𝑗2 + 2 = 783
B. 𝑗2 − 2 = 783
C. 𝑗2 + 2𝑗 = 783
D. 𝑗2 − 2𝑗 = 783
C
MAFS.912.A-CED.1.1
A rectangular garden measures 13 meters by 17 meters and has cement walkway around
its perimeter, as shown. The width of the walkway remains constant on all four sides. The
garden and walkway have a combined area of 396 square meters.
Part A: Enter an equation that can be used to help determine the
width, 𝑤, of the walkway in the first response box.
Part B: Determine the width, in meters, of the walkway. Enter your
answer in the second response box.
(17 + 2𝑤)(13 + 2𝑤) = 396
5
2
MAFS.912.A-CED.1.1
The length of a rectangle is 2 inches more than a number. The width is 1 inch less
than twice the same number. If the area of the rectangle is 42 𝑖𝑛2, find the
dimensions of the rectangle.
Width: 4 in
Length: 4 in
Width: 6 in
Length: 6 in
Width: 7 in
Length: 7 in
Length: 6 in, Width: 7 in
MAFS.912.A-REI.2.3
Enter the value for 𝑥 that makes the given equation true.
20𝑥 − 5 6𝑥 + 4 = 4𝑥 − 6
−1
MAFS.912.A-REI.2.3
What is the solution of 3 2𝑥 − 1 ≤ 4𝑥 + 7?.
𝑥 ≤ 5
MAFS.912.A-REI.2.3
Solve for 𝑥:
3
5𝑥 + 2 = 𝑥 − 4
13
MAFS.912.A-REI.2.3
Solve algebraically for 𝑥:
2 𝑥 − 4 ≥1
2(𝑥 − 4)
𝑥 ≥ 4
MAFS.912.A-REI.2.3
Solve for 𝑥:
(𝑥+4)
2= 4𝑥 − 6
𝐴
A. 𝑥 =16
7
B. 𝑥 =8
3
C. 𝑥 =10
3
D. 𝑥 = 7
MAFS.912.A-REI.2.3
Equivalent equations have exactly the same solution set. Select Yes or No to
indicate whether each equation is equivalent to this equation: 4𝑥 + 3 =5
2𝑥 − 7
Equation Yes No
4𝑥 = 5
2𝑥 − 4
8𝑥 + 3 = 5𝑥 − 7
4𝑥 = 5
2𝑥 − 10
MAFS.912.A-CED.1.4
Solve 5𝑏 + 12𝑐 = 9 for 𝑏.
A. 𝑏 = 5 12𝑐 − 9
B. 𝑏 = 5 9 − 12𝑐
C. 𝑏 =12𝑐−9
5
D. 𝑏 =9−12𝑐
5
𝐷
MAFS.912.A-CED.1.4
If 𝑟𝑥 − 𝑠𝑡 = 𝑟, which expression represents 𝑥.
𝐴
A. 𝑟+𝑠𝑡
𝑟
B. 𝑟
𝑟+𝑠𝑡
C. 𝑟
𝑟−𝑠𝑡
D. 𝑟−𝑠𝑡
𝑟
MAFS.912.A-CED.1.2
An elementary school is having sand delivered for the playground. Sadie’s Sand
charges $5.00 per ton of sand plus a delivery fee of $200. Greg’s Sand Pit charges
$12.00 per ton of sand plus a delivery fee of $50.
Use the graph below to represent functions that show the cost C of buying T tons of
sand from each company.
MAFS.912.A-CED.1.2
Emily has a gift certificate for $10 to use at an online store. She can purchase songs
for $1 each or episodes of TV shows for $3 each. She wants to spend exactly $10.
Create an equation to show the relationship between the number of songs, 𝑥, Emily
can purchase and the number of episodes of TV shows, 𝑦, she can purchase.
𝑥 + 3𝑦 = 10
MAFS.912.A-CED.1.2
Meredith is purchasing a new toilet for her home. Toilet A costs $149 and uses
approximately 380 gallons of water per month. Toilet B costs $169 and uses
approximately 300 gallons of water per month. Water costs $2.75 per 1000 gallons.
Part A: Write a system of equations that models this situation.
𝐷
Part B: How many months will it take for Toilet B to be more cost effective?
A = 149 + 2.75 ∙ 300 ∙ t B = 169 + 2.75 ∙ 380 ∙ t
A = 149 + 2.75 ∙ 0.3 ∙ t B = 169 + 2.75 ∙ 0.38 ∙ t
A = 149 + 2.75 ∙ 380 ∙ t B = 169 + 2.75 ∙ 300 ∙ t
A = 149 + 2.75 ∙ 0.38 ∙ t B = 169 + 2.75 ∙ 0.3 ∙ t
A.
B.
C.
D.
91
MAFS.912. A-REI.3.5
Which system of equations has the same solution as the system below?
𝑥 + 3𝑦 = 6
4𝑥 − 8𝑦 = 4
−5𝑥 + 15𝑦 = 30
5𝑥 − 5𝑦 = 10
5𝑥 + 15𝑦 = 30
5𝑥 − 5𝑦 = 10
−5𝑥 − 15𝑦 = −30
5𝑥 + 𝑦 = 10
−5𝑥 − 15𝑦 = −30
5𝑥 − 5𝑦 = 10
A.
B.
C.
D.
𝐵
MAFS.912. A-REI.3.5
Mr. Xavier is solving the system of equations 4𝑥 – 3𝑦 = 9 and 2𝑥 + 6𝑦 = 5. Which
system of equations has the same solution as the system that Mr. Xavier is solving?
4𝑥 – 3𝑦 = 9 −19𝑦 = −1
4𝑥 − 3𝑦 = 9 9𝑦 = 19
2𝑥 + 6𝑦 = 5
6𝑥 = 23
2𝑥 + 6𝑦 = 5 10𝑥 = 23
A.
B.
C.
D.
𝐷
MAFS.912. A-REI.3.6
The equations 5𝑥 + 2𝑦 = 48 and 3𝑥 + 2𝑦 = 32 represent the money collected from
school concert ticket sales during two class periods. If 𝑥 represents the cost for
each adult ticket and 𝑦 represents the cost for each student ticket, what is the cost
for each adult ticket?
𝑥 = 8
MAFS.912. A-REI.3.6
The basketball team sold t-shirts and hats as a fund-raiser. They sold a total of 23 items
and made a profit of $246. They made a profit of $10 for every t-shirt they sold and $12 for
every hat they sold.
Determine the number of t-shirts and the number of hats the basketball team sold.
• Enter the number of t-shirts in the first response box.
• Enter the number of hats in the second response box.
15
8
MAFS.912. A-REI.4.12
Which is a graph of the solution set of the inequality 3𝑦 – 𝑥 > 6?
A. B. C. D.
𝐶
MAFS.912. A-REI.4.12
Which inequality does this graph represent?
𝐷
A. 𝑦 > 3𝑥 + 2
B. 𝑦 > −3𝑥 – 2
C. 𝑦 < 3𝑥 – 2
D. 𝑦 < −3𝑥 – 2
MAFS.912. A-REI.4.12
Graph the system of inequalities: 𝑦 < −5𝑥 − 2
𝑦 ≤ −𝑥 + 2
A. B. C. D.
𝐶
MAFS.912. A-REI.4.12
The coordinate grid below shows points A through J.
𝑥 + 𝑦 < 3
2𝑥 − 𝑦 > −6
Given the system of inequalities shown below, select
all the points that are solutions to this system of
inequalities.
A
B
C
D
E
F
G A , F, and G
MAFS.912. A-CED.1.3 David has two jobs. He earns $8 per hour babysitting his neighbor’s children and he earns
$11 per hour working at the coffee shop.
8𝑥 + 11𝑦 ≥ 200
Part B: David worked 15 hours at the
coffee shop. Use the inequality to find the
number of full hours he must babysit to
reach his goal of $200.
Part A: Write an inequality to represent the
number of hours, 𝑥, babysitting and the
number of hours, 𝑦, working at the coffee shop
that David will need to work to earn a minimum
of $200.
5
MAFS.912. A-REI.1.1
When solving for the value of 𝑥 in the equation 4(𝑥 − 1) + 3 = 18 , Aaron wrote the
following lines on the board.
Step 1 4 𝑥 − 1 + 3 = 18
Step 2 4 𝑥 − 1 = 15
Step 3 4𝑥 − 1 = 15
Step 4 4𝑥 = 16
Step 5 𝑥 = 4
Which property was used incorrectly when going
from Step 2 to Step 3?
A. Addition Property
B. Distributive Property
C. Substitution Property
D. Transitive Property
𝐵
MAFS.912. A-REI.1.1
Martha solved the equation 5 𝑏 + 3 = 𝑏 + 39.
Step 1 5(𝑏 + 3) = 𝑏 + 39
Step 2 5𝑏 + 15 = 𝑏 + 39
Step 3 6𝑏 + 15 = 39
Step 4 6𝑏 = 24
Step 5 𝑏 = 4
Which step is the first incorrect step in Martha’s
solution shown above?
A. Step 2
B. Step 3
C. Step 4
D. Step 5
𝐵
MAFS.912. A-REI.2.4
Which are the solutions to 𝑥2 + 9𝑥 = 36?
A. 𝑥 = −12, 𝑥 = 3
B. 𝑥 = 4, 𝑥 = 9
C. 𝑥 = 12, 𝑥 = −3
D. 𝑥 = −4, 𝑥 = 9
𝐴
MAFS.912. A-REI.2.4
Solve by completing the square:
𝑥2 − 6𝑥 − 4 = 0
A. 3 ± 13
B. −3 ± 2 13
C. 3 ± 2 13
D. −3 ± 13
𝐴
MAFS.912. A-REI. 4.11
The graphs of the functions 𝑓 and 𝑔 are shown
Use the graphs to approximate the solution(s) to the
equation f(𝑥) = 𝑔(𝑥).
- 0.8
2
MAFS.912. A-REI.3.6
Based on the tables, at what point do the lines 𝑦 = – 𝑥 + 5 and 𝑦 = 2𝑥 – 1
intersect?
𝐶
A. (1, 1)
B. (3, 5)
C. (2, 3)
D. (3, 2)
MAFS.912. A-REI.3.6
Look at the tables of values for two linear functions, 𝑓(𝑥) and 𝑔(𝑥).
What is the solution to 𝑓(𝑥) = 𝑔(𝑥)?
𝑥 = 3
MAFS.912. A-REI.4.10
Choose the ordered pair that is a solution to the equation represented by the
graph.
A. (0, −3)
B. (2, 0)
C. (2, 2)
D. (−3, 0)
𝐷
MAFS.912. A-REI.4.10
Which points are on the graph of the equation 3 − 6𝑥 + 2𝑦 = −5? Select all that
apply.
A, D, and E
(-2, -10)
(-1, 1)
(0, 4)
(4, 8)
(6, 14)
MAFS.912. A-REI.4.10
For the function 𝑓 𝑥 = 2𝑥. Is (5, 32) a solution to 𝑓(𝑥)? Explain.
Yes, it is a solution. Two raised to the power of 5 is equal 32.
MAFS.912. A-SSE.2.3
Consider the function f x = 𝑥2 – 6𝑥 + 8. Rewrite the equation to reveal the
zeros of the function.
𝑦 = (𝑥 − 4)(𝑥 − 2)
MAFS.912. A-SSE.2.3
Consider the function f x = 𝑥2 – 2𝑥 − 3. Rewrite the equation to reveal the zeros
of the function.
𝑦 = (𝑥 + 1)(𝑥 − 3)
MAFS.912. A.SSE.1.2
Which equation is equivalent to 𝑦 = 3𝑥2 + 6𝑥 + 5?
A. 𝑦 = 3(𝑥 + 3)2 – 9
B. 𝑦 = 3(𝑥 + 3)2– 4
C. 𝑦 = 3(𝑥 + 1)2+ 4
D. 𝑦 = 3(𝑥 + 1)2+ 2
𝐷
MAFS.912. A.SSE.1.2
Which equation is equivalent to (𝑚2−25)?
A. (𝑚2 − 10𝑚 + 25)
B. (𝑚2 + 10𝑚 + 25)
C. 𝑚 − 5 𝑚 + 5
D. (𝑚 − 5)2
𝐶
MAFS.912. A.SSE.1.2
Which equation is equivalent to 121𝑥2 − 64𝑦2?
A. (11𝑥 − 16𝑦)(11𝑥 + 16𝑦)
B. (11𝑥 − 16𝑦)(11𝑥 − 16𝑦)
C. 11𝑥 + 8𝑦 11𝑥 + 8𝑦
D. (11𝑥 + 8𝑦)(11𝑥 − 8𝑦)
𝐷
Algebra 1
Functions and Modeling
MAFS.912. F-BF.2.3
Which statement BEST describes the graph of 𝑓 𝑥 − 6 ?
A. The graph of 𝑓(𝑥) is shifted up 6 units.
B. The graph of 𝑓(𝑥) is shifted left 6 units.
C. The graph of 𝑓(𝑥) is shifted right 6 units.
D. The graph of 𝑓(𝑥) is shifted down 6 units.
C
MAFS.912. F-BF.2.3
How can you obtain the graph of 𝑓(𝑥 + 𝑘) from the graph of 𝑓 𝑥 ?
A. Translate the graph of 𝑓(𝑥), 𝑘 units to the right.
B. Translate the graph of 𝑓(𝑥), 𝑘 units to the left.
C. Translate the graph of 𝑓(𝑥), 𝑘 units up.
D. Translate the graph of 𝑓(𝑥), 𝑘 units down.
B
MAFS.912. F-BF.2.3
Which transformation from the graph of a function 𝑓(𝑥) describes the graph of
𝑓 𝑥 − 1?
A. Horizontal shift left 1 unit.
B. Vertical shift down 1 unit.
C. Vertical stretch by a factor of 1.
D. Vertical shift up 1 unit.
B
MAFS.912. F-BF.2.3
The graphs of 𝑓(𝑥) and 𝑔(𝑥) = 𝑓(𝑥 + 𝑘) are below. What is the value of 𝑘?
−4
MAFS.912. F-BF.2.3
The coordinate plane below shows the graph of 𝑓(𝑥) after a transformation of 𝑓(𝑥−ℎ)
is performed.
Which statement about 𝑓(𝑥−ℎ) is true?
A. 𝑓 𝑥 − ℎ = 2𝑥 + 1
B. 𝑓 𝑥 − ℎ = 2𝑥 − 1
C. 𝑓(𝑥 − ℎ) = 2𝑥+1
D. 𝑓(𝑥 − ℎ) = 2𝑥−1
C
MAFS.912. F-BF.2.3
Function 𝑓(𝑥) undergoes a single transformation to create function 𝑔 𝑥 . The
graphs of both 𝑓(𝑥) and 𝑔(𝑥) are shown.
𝑓 𝑥 + 3
Create 𝑔(𝑥) in terms of 𝑓(𝑥).
MAFS.912. F-BF.2.3
The function 𝑓(𝑥) = 6𝑥 was replaced with 𝑓(𝑥) + 𝑘 resulting in the function shown
in the table below.
A. 7
B. 8
C. 9
D. 10
C
x y
0 10
1 15
2 45
3 225
What is the value of 𝑘?
MAFS.912. F-BF.2.3
The function 𝑔(𝑥) is shown in the graph at right. The function 𝑔(𝑥) is a transformation
of the parent function 𝑓(𝑥) = 𝑥2. Based on the graph, which function represent 𝑔(𝑥)
in terms of 𝑓(𝑥):
A. 𝑔 𝑥 = 𝑓 𝑥 + 4 − 2
B. 𝑔 𝑥 = 𝑓 𝑥 + 2 − 4
C. 𝑔(𝑥) = 𝑓(𝑥 − 4) − 2
D. 𝑔(𝑥) = 𝑓(𝑥 − 2) + 4
C
MAFS.912. F-IF.1.2
11
A function is shown.
𝑓 𝑥 =2
3𝑥 + 3
What is the value of 𝑓 12 ?
MAFS.912. F-IF.1.2
Consider the function below.
𝑓 𝑥 = 2 + 𝑥2
What is 𝑓 −5 ?
A. −27
B. −23
C. 9
D. 27
D
MAFS.912. F-IF.1.2
The function 𝑝(𝑥) = 8,963 1.03 𝑥 models the population of a town 𝑥 years since
2006. Which statement best describes 𝑝(9)?
A. the population of the town in 2006
B. the population of the town in 2015
C. the percent change in the population of the town between 2006 and 2015
D. the rate of change in the population of the town between 2006 and 2015
B
MAFS.912. F-IF.1.2
Lee uses the graph of the function 𝑓(𝑥) to express his projected earnings at his new
job.
A. the hours Lee will work per week
B. the hourly rate Lee will be paid at his new job
C. the amount of money in dollars Lee will earn for
working 5 hours
D. the amount of money in dollars Lee will earn for
working 8 hours
C
Which best describes what 𝑓 𝑥 = 40 means in this
problem?
MAFS.912. F-IF.1.2
Use the function given to answer the question below
𝑓 𝑥 =2
5𝑥 + 24
What is the value of 𝑥 when 𝑓(𝑥) = 25?
A. 2
5
B. 1
C. 5
2
D. 34
C
MAFS.912. F-IF.1.2
The function 𝑔 𝑥 = 20,000(1.20)𝑥 represents the population of a rapidly growing
city 𝑥 years after the year 2000.
What does the value 𝑔 10 − 𝑔(9) represent in terms of the given context?
A. The population was 103,196 people in 2009
B. The population was 123,835 people in 2010
C.There was an increase of 20,639 people from 2009 to 2010.
D.There was an increase of 227,031 people from 2009 to 2010.
C
MAFS.912. F-IF.1.1
Which table represents 𝑦 as a function of 𝑥?
B
A B C D
MAFS.912. F-IF.1.1
The table at right represents a relation of ordered pairs. What changes need to be
made to the table so that it would represent a function?
𝒙 𝒇(𝒙)
-1 4
-2 9
0 1
-2 1
1 0
A. Arrange the 𝑥-coordinates in descending order
B. Replace all negative 𝑥-coordinates with positive values
C.Replace (−2,1) with (2,1)
D.Replace (1,0) with (−1,0)
C
MAFS.912. F-IF.1.1
A function is shown in the table below.
𝒙 𝒇(𝒙)
-4 2
-1 -4
0 -2
3 16
If included in the table, which ordered pair, (−4,1) or (1, −4),
would result in a relation that is no longer a function?
Explain your answer.
If (-4, 1) is added to the table the relation would no
longer be a function; you cannot have one input with
two different outputs.
MAFS.912. F-IF.1.1
The equation of any line in the coordinate plane can be written in the form
𝐴𝑥 + 𝐵𝑦 = 𝐶 where 𝐴, 𝐵, and 𝐶 are real numbers. Select all of the equations
below that define 𝑦 as a function of 𝑥.
A, C, and D
3𝑥 – 4𝑦 = ─2
─9𝑥 + 0𝑦 = 78
0𝑥 + 56𝑦 = ─11
─12𝑥 ─ 85𝑦 = 0
𝑥 = 1
MAFS.912. F-IF.1.1
The graphs below show different information
about the weather in a large city in the U.S.
for one week in May.
Determine whether each graph represents
the given quantity as a function of time.
TRUE FALSE
Graph A represents temperature
as a function of time.
Graph B represents amount of
accumulated precipitation as a
function of time.
Graph C represents the solar
intensity as a function of time.
MAFS.912. F-IF.2.5
A basketball game sells admission tickets for $5.00 on Wednesday nights. At
capacity, the theater holds 500 customers. The function 𝐵(𝑛) = 5𝑛 represents the
amount of money the theater takes in on Wednesday nights, where 𝑛 is the number
of customers. What is the domain of 𝐵(𝑛) in this context?
D
A. all whole numbers
B. all non-negative rational numbers
C.all non-negative integers that are multiples of 5
D.all non-negative integers less than or equal to 500
MAFS.912. F-IF.2.5
Billy buys light bulbs in packs of 8 for $20. The shipping cost is $10 regardless of
the number of packs bought. Billy has only $120 to spend.
A. The domain is the set of all real numbers 1 ≤ 𝑛 ≤ 6
B. The domain is the set of all real numbers 1 ≤ 𝑛 ≤ 5
C. The domain is the set of all integers 1 ≤ 𝑛 ≤ 6
D. The domain is the set of all integers 1 ≤ 𝑛 ≤ 5
D
MAFS.912. F-IF.2.5
The total cost in dollars to buy uniforms for the players on a volleyball team can be
found using the function 𝑐 = 34.95𝑢 + 6.25, where 𝑢 is the number of uniforms
bought. If there are at least 8 players but not more than 12 players on the volleyball
team, what is the domain of the function for this situation?
A. 0 < 𝑢 ≤ 12
B. 0 < 𝑐 ≤ 425.65
C. 8, 9, 10, 11, 12
D. 285.85, 320.80, 355.75, 390.70, 425.65
C
MAFS.912. F-IF.2.5
The function ℎ 𝑡 = −16𝑡2 + 144 represents the height, ℎ(𝑡), in feet, of an object
from the ground at 𝑡 seconds after it is dropped. A realistic domain for this function
is
A. −3 ≤ 𝑡 ≤ 3
B. 0 ≤ 𝑡 ≤ 3
C. 0 ≤ ℎ(𝑡) ≤ 144
D. All real numbers
B
MAFS.912. F-IF.2.4
A company uses the function 𝑉(𝑥) = 28,000 – 1,750𝑥 to represent the amount left
to pay on a truck, where 𝑉(𝑥) is the amount left to pay on the truck, in dollars, and 𝑥
is the number of months after its purchase. Use the table of values shown below.
𝒙
(months)
𝑽 𝒙
($)
0 28,000
1 26,250
2 24,500
3 22,750
4 21,000
Part A: What is the 𝑦 −intercept of the graph of the function in
terms of the amount left to pay on the truck?
Part B: Does the graph of the function have an 𝑥 −intercept,
and if so what does that represent?
Part C: Does the function increase or decrease?
$28,000, the total amount of money the company needs to pay for
the truck.
Yes, the graph has an x-intercept. It represent the number of
months to completely pay the truck.
Decrease
MAFS.912. F-IF.2.4
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?
Week Balance of Loan
Original Price $850
2 $700
4 $550
−75
MAFS.912. F-IF.2.4
Over Spring Break, Xavier decided to track the number of rabbits he saw in his yard each
day. He recorded his observations in the table at right. Let 𝑑 represent days, and 𝑟(𝑑)
represent the total number of rabbits Xavier saw on day 𝑑. Select all intervals for which 𝑟(𝑑)
is increasing:
𝑑 1 2 3 4 5 6 7
𝑟(𝑑) 12 14 18 13 15 19 14
1 < 𝑑 < 3
1 < 𝑑 < 7
3 < 𝑑 < 6
4 < 𝑑 < 6
4 < 𝑑 < 7 A, D
MAFS.912. F-IF.2.4
Shane is filling a barrel with water. The table below shows the amount of water in the barrel
after different amounts of time.
Assuming Shane filled the barrel at a
constant rate, how much water was initially
in the barrel?
Time
(seconds)
Amount of Water
(cubic inches)
1 25
2 32
4 46
A. 18 cubic inches
B. 16 cubic inches
C. 14 cubic inches
D. 12 cubic inches
A
MAFS.912. F-IF.2.4
The height of a rocket is modeled by ℎ 𝑡 = −(4𝑡 – 12)(4𝑡 – 36). How long after
reaching its maximum height does it take for the rocket to hit the ground?
A. 3 seconds
B. 4.5 seconds
C. 7.5 seconds
D. 12 seconds
A
MAFS.912. F-IF.3.9
The graph of 𝑓(𝑥) is shown Which function has the higher maximum?
A. 𝑓(𝑥)
B. 𝑔(𝑥)
C. They have the same maximum.
D. There is not enough information.
The function of 𝑔(𝑥) is given below:
𝑔 𝑥 = −𝑥2 + 3𝑥 + 1
B
A savings account balance can be modeled by the graph of the linear function shown
on the grid.
MAFS.912. F-IF.2.6 and
MAFS.912. S-ID.3.7
A
A. $100 per deposit
B. $50 per deposit
C.$0.50 per deposit
D.$2 per deposit
What is the rate of change of the balance with respect
to the number of deposits?
The graph below shows the total number of fish that a fisherman caught over a 5-
week time period.
MAFS.912. F-IF.2.6 and
MAFS.912. S-ID.3.7
A
A. about 13 fish per week
B. about 18 fish per week
C.about 32 fish per week
D.about 40 fish per week
What was the average rate of change in the number of
fish caught per week between weeks 2 and 5?
An astronaut drops a rock off the edge of a cliff on the Moon. The distance, 𝑑(𝑡), in
meters, the rock travels after 𝑡 seconds can be modeled by the function 𝑑 𝑡 = 0.8𝑡2.
What is the average speed, in meters per second, of the rock between 5 and 10
seconds after it was dropped?
MAFS.912. F-IF.2.6 and
MAFS.912. S-ID.3.7
A
A. 12
B. 20
C.60
D.80
MAFS.912. F-IF.2.6 and
MAFS.912. S-ID.3.7
B
The table below shows the charge for different numbers of shirts from an online
website. The company charges a cost per shirt and a setup fee per order.
Shirts Ordered
(𝑥)
Total Cost
(𝑦)
100 $345
125 $363
150 $354
175 $339
What does the 𝑦-intercept of the equation
of the line of best fit for the data represent?
A. the cost per shirt
B. the setup fee
C. the number of shirts ordered
D. the maximum cost of an order
A. The slope is 6. This means that the average number of birds per acre in an area with no trees is 6.
The y-intercept is 4. This means that for every 1 additional tree, she can expect an average of 4
additional birds per acre.
B. The slope is 4. This means that for every 1 additional tree, she can expect an average of 4 additional
birds per acre. The y-intercept is 6. The average number of birds per acre in an area with no trees is
6.
C. The slope is 6. This means that for every 1 additional tree, she can expect an average of 6 additional
birds per acre. The y-intercept is 4. The average number of birds per acre in an area with no trees is
4.
D. The slope is 4. This means that the average number of birds per acre in an area with no trees is 4.
The y-intercept is 6. This means that for every 1 additional tree, she can expect an average of 6
additional birds per acre.
MAFS.912. F-IF.2.6 and
MAFS.912. S-ID.3.7
C
A scientist studied the relationship between the number of trees, 𝑥, per acre and the number of birds,
𝑦, per acre in a neighborhood. She modeled the relationship with a scatter plot and used the equation
𝑦 = 4 + 6𝑥 for the regression line. What is the meaning of the slope and 𝑦-intercept of this
regression line?.
MAFS.912. F-IF.3.8a
The graph of a quadratic function 𝑓(𝑥) intersects the 𝑥-axis at -3 and 5. What is a
possible equation for 𝑓(𝑥)?
(𝑥 + 3)(𝑥 − 5)
MAFS.912. F-IF.3.8a
Which statement about 𝑘 𝑥 = −𝑥2 − 2𝑥 + 15 is true?
A. The zeros are -3 and 5, because 𝑘 𝑥 = − 𝑥 + 3 𝑥 − 5 .
B. The zeros are -5 and 3, because 𝑘 𝑥 = − 𝑥 + 5 𝑥 − 3 .
C. The zeros are -5 and -3 , because 𝑘 𝑥 = − 𝑥 + 3 𝑥 + 5 .
D. The zeros are 3 and 5, because 𝑘 𝑥 = − 𝑥 − 3 𝑥 − 5 .
B
MAFS.912. F-IF.3.8a
The factors of a quadratic functions are 2𝑥 − 3 and 𝑥 − 3 . What is the axis of
symmetry of this function?
𝑥 =9
4
MAFS.912. F-IF.3.8a
Given 𝑓 𝑥 = 𝑥2 + 6𝑥 − 4.
Part A: Write the function in vertex form in the first response box .
Part B: Then find the zeros. Write your answer in the second response box .
𝑓 𝑥 = (𝑥 + 3)2−13
−3 + 13, −3 − 13
Lisa plans to build a rectangular fenced garden. She has 500 feet of fencing to use
for the project. She determines that if her garden has a width of 𝑤 meters, then the
area of her garden 𝐴(𝑤), in square meters, is given by the following function.
𝐴 𝑤 = 250𝑤 − 𝑤2
Which of the following expressions is equivalent to 250𝑤 − 𝑤2?
MAFS.912. F-IF.3.8a
A. − 𝑤 − 125 2
B. − 𝑤 − 250 2
C. − 𝑤 − 125 2 + 15,625
D. − 𝑤 − 125 2 + 62,500
C
MAFS.912. F-IF.3.8b
The function 𝑓(𝑥) = 250(1.12)𝑥 models the number of students at a school 𝑥 years
after it opened. By what rate is the number of students increasing each year?
A. 0.12%
B. 0.88%
C. 12%
D. 88%
C
MAFS.912. F-IF.3.8b
The function 𝑓(𝑡) = 24,500(0.84)𝑡 models the population of a town 𝑡 years after
2008. What rate is the population of the town decreasing each year?
A. 16%
B. 24.5%
C. 75.5%
D. 84%
A
MAFS.912. F-IF.3.8b
Consider the equation 𝑦 = 35(0.57)𝑥.
Part A: Does this equation represent growth or decay?
Decay
Part B: What is the percent rate of growth
or decay?
43
MAFS.912. A-APR.2.3
Which of the following polynomial functions could have the graph shown?
A. 𝑝 𝑥 = 𝑥 − 1 𝑥 + 2 𝑥 + 3
B. 𝑝 𝑥 = (𝑥 + 1)(𝑥 − 2)(𝑥 − 3)
C. 𝑝 𝑥 = −(𝑥 − 1)(𝑥 + 2)(𝑥 + 3)
D. 𝑝 𝑥 = −(𝑥 + 1)(𝑥 − 2)(𝑥 − 3)
A
MAFS.912. A-APR.2.3
Identify the correct graph of the polynomial function: 𝑘 𝑥 = −𝑥 𝑥 − 2 𝑥 − 3 𝑥 + 2 .
D
A B C D
MAFS.912. F-IF.3.7a and
MAFS.912. F-IF.3.7e
Which graph represents the equation 5𝑦 − 3𝑥 = −15?
A B C D
B
MAFS.912. F-IF.3.7a and
MAFS.912. F-IF.3.7e
Which graph shows a line with an 𝑥 −intercept of 5?
D
A C B D
MAFS.912. F-IF.3.7a and
MAFS.912. F-IF.3.7e
Function 𝑝 is in the form 𝑦 = 𝑎𝑥2 + 𝑐. If the values of 𝑎 and 𝑐 are both less than 0,
which graph could represent 𝑝?
A C B D
C
MAFS.912. F-IF.3.7a and
MAFS.912. F-IF.3.7e
A graph of 𝑓 𝑥 = 6𝑥2 − 11𝑥 + 3 is shown on the grid. What are the zeros of 𝑓?
D
A. 3
B. 2 𝑎𝑛𝑑 9
C. 11
12
D. 1
3 𝑎𝑛𝑑
3
2
MAFS.912. F-IF.3.7a and
MAFS.912. F-IF.3.7e
The graph of quadratic function 𝑔 is shown on the grid. The coordinates of the 𝑥-
intercepts, the 𝑦-intercept, and the vertex are integers.
What is the maximum value of 𝑔?
9
MAFS.912. F-LE.1.1a, b, c
A student claimed that the function shown in the table is exponential. Do you agree
or disagree? Explain.
𝒙 1 2 4 8 16
𝒚 0 1 2 3 4
A. I agree. The ratios of consecutive 𝑥 −values are constant, and the 𝑦 −values are
increasing at a constant rate.
B. I disagree. The 𝑥 −values are increasing exponentially, but the 𝑦 −values are not.
C. I agree. To get the second 𝑦 −value, you have to square first.
D. I disagree. The function is linear because the first differences in 𝑦 −values are
constant. B
MAFS.912. F-LE.1.1a, b, c The graph shows the value of two different shares of stock over a period of 8 years. Select
all that apply to this situation.
The model shows that the graph of Stock A is an exponential
growth model with the initial value of $4.00 and a growth factor of
0.75.
The value of Stock B is going down over time. The initial value of
Stock B is higher than the initial value of Stock A. However, after
about 2 years, the value of Stock A becomes more than the value of
Stock B.
The model shows that the graph of Stock B is an exponential decay
model with the initial value of $12.00 and a decay factor of 0.75.
The model shows that the graph of Stock A is an exponential
growth model with the initial value of $4.00 and a growth factor of
1.25.
The model shows that the graph of Stock B is an exponential decay
model with the initial value of $12.00 and a decay factor of 1.25.
The model shows that Stock B will double its initial value in about 3
years. B, C, and D
MAFS.912. F-LE.2.5
To calculate the charge for a load of bricks, including delivery, the Pine Ridge Brick
Company uses the function 𝑐(𝑏) = 0.42𝑏 + 25, where 𝑐 is the charge and 𝑏 is the
number of bricks. What is the meaning of the coefficient of 𝑏?
A. the delivery charge per load
B. the total delivery charge
C. the total cost of the bricks
D. the cost per brick
D
MAFS.912. F-LE.2.5
The size of a population of gorillas can be modeled by the function 𝑃 = 18 1.2 𝑡,
where 𝑡 is the number of years since 2005. What does 18 represent in this
function?
A. the number of years since 2005
B. the size of the population of gorillas in 2005
C. the growth rate of the gorilla population since 2005
D. the number of gorillas that have been added since 2005
B
MAFS.912. F-LE.2.5
The cost of belonging to a gym can be modeled by 𝐶(𝑚) = 50𝑚 + 79.50, where
𝐶(𝑚) is the total cost for 𝑚 months of membership.
State the meaning of the slope and 𝑦 −intercept of this function with respect to the
costs associated with the gym membership.
The slope represents the amount paid each month and the y-intercept
represents the initial cost of membership
MAFS.912. F-LE.1.2
Which function is represented by the input-output table below?
𝒙 𝒇 𝒙
1 5
3 11
6 20
8 26
A. 𝑓 𝑥 = 3𝑥 + 2
B. 𝑓 𝑥 = 2𝑥 + 3
C. 𝑓 𝑥 = 0.5𝑥 + 4.5
D. 𝑓 𝑥 = 4.5𝑥 + 0.5
A
MAFS.912. F-LE.1.2
Categorize each of the following situations as either a linear or an exponential model.
Linear Exponential
A savings account accumulates no interest but receives a
deposit of $500 each month.
The value of a house increases by 1.5% per year.
The temperature increases by 4°𝐹 every hour from 8:00 a.m.
to 3:00 p.m. one day during July.
Every 240 minutes, 14% of the rat population dies.
Each month, there are 5 fewer bales of alfalfa in the barn
MAFS.912. F-LE.1.2
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?
A. 𝑎𝑛 = 𝑛 + 6
B. 𝑎𝑛 = 4𝑛 + 1
C. 𝑎𝑛 = 5𝑛 + 6
D. 𝑎𝑛 = 6𝑛 − 1
D
MAFS.912. F-BF.1.1a
A
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, 𝑎𝑛 on this farm at the end of the 𝑛𝑡ℎ year?
A. 𝑎𝑛 = 2,250 + 250(𝑛 − 1)
B. 𝑎𝑛 = 2,000 + 250(𝑛 − 1)
C. 𝑎𝑛 = 2,000 + 250(𝑛 + 1)
D. 𝑎𝑛 = 2,250 + 250(𝑛 + 1)
MAFS.912. F-BF.1.1b and c
B
Which function models the product 𝑃 of a number 𝑛 and a second number that is
20 less than 3 times the first?
A. 𝑃 𝑛 = 20𝑛 − 3𝑛2
B. 𝑃 𝑛 = 3𝑛2 − 20𝑛
C. 𝑃 𝑛 = 20𝑛2 − 3𝑛
D. 𝑃 𝑛 = 3𝑛 − 20𝑛2
MAFS.912. F-IF.1.3
The graph shows the first five terms of an arithmetic sequence whose domain is the
positive integers.
D
Which is a definition of the sequence?
A. 𝑡 𝑛 = 8 − 𝑛
B. 𝑡 𝑛 = 8 − 2𝑛
C. 𝑡 𝑛 = 10 − 𝑛
D. 𝑡 𝑛 = 10 − 2𝑛
Algebra 1
Statistics and
the Number System
MAFS.912. N-RN.1.2
A
Which expression is equivalent to 𝑚5
A. 𝑚1
5
B. 𝑚5
C. 𝑚−1
5
D. 𝑚−5
MAFS.912. N-RN.1.2
C
Which expression is equivalent to 5 𝑔3
A. (5𝑔)1
3
B. (5𝑔)3
C. 5𝑔1
3
D. 5𝑔3
MAFS.912. N-RN.1.2
B
Which expression is equivalent to 27𝑥3
A. 9𝑥1
3
B. 3𝑥1
3
C. 9𝑥
D. 3𝑥
MAFS.912. N-RN.1.2
C
What is the value of 𝑥 in the equation below?
A. −3
16
B. −3
C. 1
3
D. 16
3
𝑝
𝑞
4
43
=𝑝
𝑞
𝑥
MAFS.912. N-RN.1.2
C
Rewrite 𝑥2𝑦𝑧43∙ 𝑥2𝑦𝑧46
A. (𝑥2𝑦𝑧4)1
18
B. (𝑥2𝑦𝑧4)18
C. 𝑥2𝑦𝑧41
2
D. (𝑥2𝑦𝑧4)2
MAFS.912. N-RN.1.2
A, D, and E
Which of the following are equal to (𝑝−3)2
5? Assume that 𝑝 is positive. Select all that
apply.
𝑝−65
1
𝑝15
1
𝑝30
𝑝2 −35
1
𝑝 𝑝5
𝑝−110
MAFS.912. N-RN.1.2
B
Which expression is equivalent to − 27 − 3 45 − 20 + 2 45 ?
A. 3 3 − 5 5
B. −3 3 − 5 5
C. − 7 − 45
D. − 27 − 20 − 45
MAFS.912. N-RN.1.1
What is 27
13
912
simplified?
A. 1
B. 3
C. 4
D. 9
A
MAFS.912. N-RN.1.1
Which expression is equivalent to 4𝑥31
2 ∙ 9𝑥1
2 ?
A. 6𝑥2
B. 13𝑥4
C. 36𝑥4
D. 36𝑥3
4
A
MAFS.912. N-RN.2.3
Which value is an irrational number?
A. 4 + 7
B. 2 8
C. 3 12
5
D. 3 − 31
2
A
MAFS.912. N-RN.2.3
Which statement describes the product of 𝑚 and −1
3 when 𝑚 is an irrational number?
A. The product will always be a rational number.
B. The product will always be an irrational number.
C. The product will be rational only when 𝑚 is an integer.
D. The product will be irrational only when 𝑚 is an integer.
B
MAFS.912. N-RN.2.3
Is the product of 2 and 8 rational or irrational? Explain.
The product is rational because square root of 16 is 4 and 4 is a rational
number.
MAFS.912. S-ID.1.1
The histogram below displays the ages of a company’s employees.
The company hires 7 new employees. The
ages of the new employees are 48, 51, 60, 61,
63, 70, and 71. What should the height of the
bar for age range 61-70 be to represent the
ages of the new employees?
A. 2
B. 3
C. 4
D. 5
B
MAFS.912. S-ID.1.1
Vanessa collected data about how many servings of fruit her classmates eat each
week. The histogram below
displays the data..
How many of Vanessa’s classmates eat more
than 5 servings of fruit each week?
A. 3
B. 7
C. 16
D. 23
B
MAFS.912. S-ID.1.1
The data shows the approximate time it takes several students to run 3 miles. Which
dot plot represents the data?
24, 20, 30, 25, 27, 26, 25, 20, 30, 24, 23, 29, 16, 24, 19, 25, 28, 27
A
B
C
D
C
MAFS.912. S-ID.1.1
Which set of data can be represented by the box plot shown in the diagram below?
A. 5, 5, 10, 11, 11, 12, 16, 17
B. 5, 8, 10, 10, 12, 13, 13, 17
C. 5, 9, 9, 10, 11, 14, 14, 17
D. 5, 9, 9, 9, 13, 13, 15, 17
D
MAFS.912. S-ID.1.1 A real estate agent recorded the home prices, in thousands of dollars, for 50 randomly selected homes
in two communities, A and B. The dot plots display the recorded data.
A. The homes in community A are typically more expensive
and more consistent in price than those in community B.
B. The homes in community A are typically more expensive
and less consistent in price than those in community B.
C. The homes in community A are typically less expensive
and more consistent in price than those in community B.
D. The homes in community A are typically less expensive
and less consistent in price than those in community B. D
Part A: Which statement best describes the relationship
between the home prices in community A and community B?
Part B: Which of the listed home prices most likely
represents the third quartile for the 50 home prices in
community B?
A. $160,000
B. $165,000
C. $167,000
D. $170,000
C
MAFS.912. S-ID.1.1
Tanner and Robbie discovered that the means of their grades for the first semester in
Mrs. Merrell’s mathematics class are identical. They also noticed that the standard
deviation of Tanner’s scores is 20.7, while the standard deviation of Robbie’s scores
is 2.7. Which statement must be true?
A. In general, Robbie’s grades are lower than Tanner’s grades.
B. Robbie’s grades are more consistent that Tanner’s grades.
C. Robbie had more failing grades during the semester than Tanner had.
D. The median for Robbie’s grades is lower than the median for Tanner’s grades.
B
There are 4 voting regions in the town of Pleasantville. The chart below shows the number of people
registered as Democrats, Republicans, or Independents.
Voting Region Democrat Republican Independent
1 420 316 270
2 336 338 322
3 214 369 451
4 195 188 175
Pleasantville Voter Registrations
A. The median number of Democrats in the regions is greater than the median number of Republicans
in the regions.
B. The median number of Republicans in the regions is greater than the median number of Democrats
in the regions.
C. The median number of Republicans in the regions is less than the median number of Independents in
the regions.
D. The median number of Independents in the regions is less than the median number of Democrats in
the regions.
MAFS.912. S-ID.1.2 and
MAFS.912. S-ID.1.3
B
A. Algebra
B. Chemistry
C. English
D. US History
MAFS.912. S-ID.1.2 and
MAFS.912. S-ID.1.3
The data sets below represent the results of surveys conducted with ten high school
students to determine the number of hours per week they spend studying for their
classes. Algebra {3, 0, 8, 7, 4, 1, 9, 7, 4, 8}
Chemistry {5, 7, 3, 2, 8, 1, 2, 9, 11, 6}
English {2, 4, 0, 9, 1, 2, 6, 3, 10, 2}
US History {9, 1, 5, 2, 0, 0, 4, 2, 7, 3}
Which data set has the greatest interquartile range?
B
A. 1, 2, 5, 6
B. 4, 5, 5, 6
C. 1, 3, 5, 7
D. 6, 7, 8, 9
MAFS.912. S-ID.1.2 and
MAFS.912. S-ID.1.3
Which of the following sets of four numbers has the largest possible standard
deviation?
C
MAFS.912. S-ID.1.2 and
MAFS.912. S-ID.1.3
There are four students in a classroom, ages 13,14,16, and 17. If a 15 year old student
walks into the classroom, which changes will occur? Select all that apply.
The median will decrease.
The median will stay the same.
The median will increase.
The mean will decrease.
The mean will stay the same.
The standard deviation will decrease.
The standard deviation will increase.
B, E, and F
MAFS.912. S-ID.2.5
Serena asked students at her school who was planning to work over the summer. Her
results are recorded in the frequency table below.
Which statement is true?
B
Working Not Working
8th Grade 10 39
9th Grade 25 31
10th Grade 56 12
A. The percent of 10th graders working is about 6 times the percent of 8th graders working.
B. The percent of 10th graders working is about 4 times the percent of 8th graders working.
C. The percent of 10th graders not working is about 4 times the percent of 8th graders not
working.
D. The percent of 8th graders not working is about 5.6 times the percent of 10th graders not
working.
MAFS.912. S-ID.2.5
The relative frequency table below shows the type of ice cream chosen by 50 people
at a party.
D
Vanilla Chocolate Strawberry
Men 0.06 0.22 0.06
Women 0.08 0.08 0.14
Children 0.14 0.12 0.10
Approximately what percent of the people who chose vanilla were women?
A. 4%
B. 8%
C.27%
D.29%
MAFS.912. S-ID.2.5
The two-way frequency table shows the number of students who play sports and how
long they practice each day.
B
What is the conditional relative frequency of students who play football given that they
practice less than one hour each day? Round your answer to the nearest hundredth.
A. 0.14
B. 0.24
C.0.37
D.0.66
MAFS.912. S-ID.2.5
A random group of high school students was surveyed. Each student was asked
whether it should be mandatory for all high school students to participate in a
sport. The results are partially summarized in the two-way table.
D
In the freshman group, what percentage of
students agree that it should be mandatory
for all students to participate in a sport?
A. .4.1%
B. 22.6%
C.53%
D.73.6%
MAFS.912. S-ID.2.6,
MAFS.912. S-ID.3.8, and 3.9
For an experiment on evaporation, Ginny filled a water tank. She then measured the level of
the water several times to see how much had evaporated. The table below shows the number
of centimeters below the top the water was at each given number of days where 𝑥 represents
the number of days and 𝑦 represents the number of centimeters.
A. -19
B. -12
C. -6
D. -5
C
What is the slope of the line representing the rate of evaporation?
MAFS.912. S-ID.2.6,
MAFS.912. S-ID.3.8, and 3.9
The scatterplot shows the monthly high temperatures for
Austin, Texas, in degrees Fahrenheit over a 12-month
period.
A. 𝑦 = −1.6𝑥 + 111
B. 𝑦 = 3.5𝑥 + 85
C. 𝑦 = 2.5𝑥 + 90
D. 𝑦 = −3.3𝑥+130
C
Which function best models the data from Month 1 to
Month 9?
MAFS.912. S-ID.2.6,
MAFS.912. S-ID.3.8, and 3.9
The scatter plot below shows data about two variables, Variable A and Variable B, and the line
of best fit.
A. 1.0
B. 0.5
C. -0.5
D. -1.0
C
Which is the best estimate of the correlation coefficient of the
data shown in the scatter plot?
MAFS.912. S-ID.2.6,
MAFS.912. S-ID.3.8, and 3.9
The equation of the line of best fit for the data shown in the graph below is 𝑦 = 0.68𝑥 + 4.9.
A. -0.815
B. -0.286
C. 0.286
D. 0.815
B
Using a line of best fit, what is the approximate value of the
residual for the data at 𝑥 = 2?
MAFS.912. S-ID.2.6,
MAFS.912. S-ID.3.8, and 3.9
The table below shows the height of a plant at different amounts of time since it was planted.
A. weak negative correlation.
B. weak positive correlation.
C. strong negative correlation.
D. strong positive correlation. D
Time
(weeks)
Height
(cm)
1 1
2 4
3 6
4 9
5 11
Which best describes the correlation between plant height and time?
MAFS.912. S-ID.2.6,
MAFS.912. S-ID.3.8, and 3.9
A scatterplot and line of best fit are shown below.
A. 0.9470
B. 0.3406
C. –0.3406
D. –0.9470
D
Which correlation coefficient best fits the scatter plot?
MAFS.912. S-ID.2.6,
MAFS.912. S-ID.3.8, and 3.9
Two unique sets of data are represented by either circles or squares on the graph below.
A. The circle data set has a strong, negative correlation.
B. The square data set has a strong, positive correlation.
C. The circle data set has a strong, positive correlation.
D. The square data set has a strong, negative correlation.
C
Which statement is true about the best-fit linear model for
each set of data?
MAFS.912. S-ID.2.6,
MAFS.912. S-ID.3.8, and 3.9
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?
A. The correlation coefficient is -5.1 which indicates no association between the number of
years of education and the amount of money a person makes.
B. The correlation coefficient is 8.2 which indicates a strong positive linear association
between the number of years of education and the amount of money a person makes.
C. The correlation coefficient is 0.79 which indicates a strong positive linear association
between the number of years of education and the amount of money a person makes.
D. The correlation coefficient is -0.94 which indicates a weak negative linear association
between the number of years of education and the amount of money a person makes.
C
MAFS.912. S-ID.2.6,
MAFS.912. S-ID.3.8, and 3.9
Which statement best describes the relation between correlation and causation?
A. Correlation results in causation.
B. Correlation does not imply causation.
C. Correlation and causation are unrelated.
D. Correlation and causation are the same thing.
B
MAFS.912. S-ID.2.6,
MAFS.912. S-ID.3.8, and 3.9
Which description is a causation relationship?
A. a person’s age and the number of siblings the person has.
B. the distance a person can run in 1 hour and the size of the person’s shoes.
C. the number of students in a class and the number of students in the class who wear
glasses.
D. the number of questions a student answers correctly on an exam and the student’s score
on the exam.
D
MAFS.912. S-ID.2.6,
MAFS.912. S-ID.3.8, and 3.9
What type of relationship exists between the number of pages printed on a printer and the
amount of ink used by that printer?
A. positive correlation, but not causal
B. positive correlation, and causal
C. negative correlation, but not causal
D. negative correlation, and causal
B
