Algebra 1 Bootcamp Answers - Coral Gables Senior High

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