Question 1

Which equation does NOT represent a linear function?

Accepted Answer

$y= 2x^2+3x$

Answer

$y= 2(x- 3)$

Answer

$y= \frac{x+1}{5}$

Answer

$y= 2^2- 3x$

Question 2

The graph of a function is shown below.

For which interval of x is the function decreasing and nonlinear?

Accepted Answer

between $-2$ and $0$

Answer

between $0$ and $2$

Answer

between $2$ and $4$

Answer

between $-4$ and $-2$

Question 3

The cost to rent a paddleboat at the city park includes an initial fee of $$$7.00,$$ plus $$$3.50$$ per hour. Which equation models the relationship between the total cost, $y$, and the number of hours, $x$, that the paddleboat is rented?

Accepted Answer

$y = 3.5x+7$

Answer

$y = \frac{x}{7}+3.5$

Answer

$y = 7x+3.5$

Answer

$y = \frac{x}{3.5}+7$

Question 4

Function 1 is defined by the equation $y=\frac{3}{4}x+1$, and function 2 is represented by the graph below.

Which statement about the functions is true?

Accepted Answer

Function 1 has the greater rate of change and the greater $y$-intercept.

Answer

Function 2 has the greater rate of change, and function 1 has the greater $y$-intercept.

Answer

Function 2 has the greater rate of change and the greater $y$-intercept.

Answer

Function 1 has the greater rate of change, and function 2 has the greater $y$-intercept.

Question 5

A function has the following properties:

$\quad\bullet\,$ It is increasing and linear when the value of xis between $-5$ and $-3.$
$\quad\bullet\,$ It remains constant when the value of xis between $-3$ and $0.$
$\quad\bullet\,$ It is decreasing and linear when the value of xis between $0$ and $3.$
$\quad\bullet\,$ It is increasing and nonlinear when the value of xis between $3$ and $5.$

Which graph BEST represents this function?

Accepted Answer

https://uploads.quizalize.com/3576b32e-42e9-cfca-cf71-75eb354fd4e9/question/aa183377-934d-aa48-7d1b-fa24a30ec8f3.png

Answer

https://uploads.quizalize.com/3576b32e-42e9-cfca-cf71-75eb354fd4e9/question/69186d49-4cef-b8f5-ec2c-98eda3b4a12d.png

Answer

https://uploads.quizalize.com/3576b32e-42e9-cfca-cf71-75eb354fd4e9/question/991a2e06-2695-0ff5-6f1f-7fb8dbfd0f62.png

Answer

https://uploads.quizalize.com/3576b32e-42e9-cfca-cf71-75eb354fd4e9/question/374a423c-5a49-9b1a-82a7-a9fbab67dc0f.png

Question 6

Ms. Gibson made an initial deposit of $$\$500 $$when opening a bank account. After the initial deposit, she deposited the same amount of money each month. The table below shows the total amount of money, $a,$ she deposited into the account after a certain number of months, $t,$ since opening it.

Which equation models the relationship between $a$ and $t$?

Accepted Answer

$a = 250t + 500$

Answer

$a = 250t$

Answer

$a = 500t$

Answer

$a = 500t + 250$

Question 7

Which statement explains the type of function that is represented by the equation $y = x^2 + 9$?

Accepted Answer

The function is nonlinear because the variable x is raised to the second power.

Answer

The function is linear because the variable $x$ is raised to the second power.

Answer

The function is nonlinear because it contains more than one term.

Answer

The function is linear because it contains more than one term.

Question 8

The table represents linear Function F.

The equation $y = 4x + 2$ represents Function G. Which statement is true?

Accepted Answer

The rate of change of Function G is greater than the rate of change of Function F because $4>3.$

Answer

The rate of change of Function G is less than the rate of change of Function F because $2<3.$

Answer

The rate of change of Function G is greater than the rate of change of Function F because $2>\frac{9}{7}.$

Answer

The rate of change of Function G is less than the rate of change of Function F because $4<9.$

Question 9

Which set of ordered pairs represents a function?

Accepted Answer

{(5, 6), (8, 6), (9, 6)}

Answer

{(3, 2), (3, 3), (3, 4)}

Answer

{(2, 7), (2, 8), (3, 8)}

Answer

{(4, 1), (5, 1), (4, 4)}

Question 10

The graph of a function is shown below.

Which statement is true about a section of the graph?

Accepted Answer

In Section P, the function is linear and increasing.

Answer

In Section Q, the function is nonlinear and decreasing.

Answer

In Section N, the function is linear and decreasing.

Answer

In Section R, the function is nonlinear and increasing.

Question 11

Which statement BEST explains whether these ordered pairs represent a function?

$\quad (-4, 2), (6, 7), (-8, 3), (9, 10), (12, 14), (6, 9)$

Accepted Answer

The ordered pairs do not represent a function because one input value has two different output values.

Answer

The ordered pairs represent a function because each output value is greater than each input value.

Answer

The ordered pairs represent a function because no output values are repeated.

Answer

The ordered pairs do not represent a function because the difference between the input and output of each ordered pair is not the same.

Question 12

A car traveled $36$ miles in $45$ minutes. The car traveled at a constant speed. If the car continues to travel at this rate, which equation can be used to determine y, the total number of miles the car will travel, in $x$ hours?

Accepted Answer

$y=48x$

Answer

$y=x+48$

Answer

$48y=x$

Answer

$48+y=x$

Question 13

Two photographers offer different pricing plans for their services. The graph below models the prices Photographer A charges. The table below shows the prices  Photographer B charges. Each photographer charges a one-time equipment fee and an hourly rate.

Which statement about the two pricing plans is true?

Accepted Answer

Photographer A's equipment fee is $25 less than Photographer B's.

Answer

Photographer A charges $15 per hour more than Photographer B.

Answer

Photographer B charges $15 per hour more than Photographer A.

Answer

Photographer B's equipment fee is $25 less than Photographer A's

Question 14

The points $(2, -2)$ and $(-4, 13)$ lie on the graph of a linear function of $x.$ Which point also lies on the graph of this function?

Accepted Answer

$(-6, 18)$

Answer

$(13, -4)$

Answer

$(7, 14.5)$

Answer

$(-1, 5)$

Question 15

In each table, $x$ represents the input value and $y$ represents the output value. Which table does 'not' represent a function of $x$?

Accepted Answer

https://uploads.quizalize.com/76c424ca-0977-3907-4f76-c4fa231789d7/question/84406da1-2292-b7dd-f924-1173030ff912.png

Answer

https://uploads.quizalize.com/76c424ca-0977-3907-4f76-c4fa231789d7/question/82d27350-59b2-237a-6b4f-0b2aedcd0b98.png

Answer

https://uploads.quizalize.com/76c424ca-0977-3907-4f76-c4fa231789d7/question/755a0865-4061-c95f-84be-0bd414b4b174.png

Answer

https://uploads.quizalize.com/76c424ca-0977-3907-4f76-c4fa231789d7/question/6c5b5507-c3c6-85d1-b13e-d2a1ae3b2398.png

Question 16

Which equation describes a linear function?

Accepted Answer

$y=(\frac{1}{6})x$

Answer

$V=s^3$

Answer

$A= \pi r^2$

Answer

$y=(2)^x$

Question 17

Which set of ordered pairs $(x, y)$ could represent a linear function of $x$?

Accepted Answer

{(-2,7), (0,12), (2,17), (4,22)}

Answer

{(1,2), (1, 3 ), (1,4), (1,5)}

Answer

{(-2,8), (0,4), (2,3), (4,2)}

Answer

{(3,5), (4,7), (3,9), (5,11)}

Question 18

Functions $W$ and $Z$ are both linear functions of $x$.
Which statement comparing the functions is true?

Accepted Answer

The slope of Function $W$ is less than the slope of Function $Z$.

Answer

The slope of Function $W$ is equal to the slope of Function $Z$.

Answer

The $y$-intercept of Function $W$ is equal to the $y$-intercept of Function $Z$.

Answer

The $y$-intercept of Function $W$ is less than the $y$-intercept of Function $Z$.

Question 19

Which function of $x$ has the 'least' value for the $y$-intercept?

Accepted Answer

$y=2x-3$

Answer

https://uploads.quizalize.com/76c424ca-0977-3907-4f76-c4fa231789d7/question/1455028a-15f0-b6ea-9ad7-b3d50e274ca5.png

Answer

$y=-4x+15$

Answer

https://uploads.quizalize.com/76c424ca-0977-3907-4f76-c4fa231789d7/question/dfd074f9-23a0-30fc-3a97-96cba311808d.png

Question 20

A function of $x$ is shown on the coordinate plane.
Over which intervals is the function increasing?

Accepted Answer

$-4< x < -2$ and $0 <x<2$

Answer

$-4< x < -2$ and $-1 <x<1$

Answer

$-2< x < 0$ and $2<x<4$

Answer

$-2< x <-1$ and $2<x<4$

Question 21

Which graph represents a linear function of $x$?

Accepted Answer

https://uploads.quizalize.com/7b035f2d-406d-ca0c-a09d-e5aa41eaad87/question/560184b9-7989-62ee-93c9-535ba0eec097.png

Answer

https://uploads.quizalize.com/7b035f2d-406d-ca0c-a09d-e5aa41eaad87/question/5d7a5559-79be-fa81-095c-3383ba6833d3.png

Answer

https://uploads.quizalize.com/7b035f2d-406d-ca0c-a09d-e5aa41eaad87/question/41e76543-9cfc-3600-558b-e45726a071cc.png

Answer

https://uploads.quizalize.com/7b035f2d-406d-ca0c-a09d-e5aa41eaad87/question/eb058923-553f-4c6c-346f-283b64f0f26c.png

Question 22

A linear function models the cost based on the number of toothbrushes made. Which statement about the rate of change of this function is true?

Accepted Answer

The cost increases by $1.50 for each additional toothbrush made.

Answer

The cost increases by $18.00 for each additional 3 toothbrushes made

Answer

The cost increases by $4.50 for each additional toothbrush made.

Answer

The cost increases by $9.00 for each additional 3 toothbrushes made.

Question 23

Which equation represents a function of $x$ that is NOT linear?

Accepted Answer

$y=4x+3x^2$

Answer

$y=\frac{4+x}{3}$

Answer

$y=4(x+3)$

Answer

$y=4^2+3x$

Question 24

Linear functions M and P are shown below.

In comparing the rates of change, which statement about Function M and Function P is true?

Accepted Answer

Their rates of change differ by 2.

Answer

Their rates of change differ by 4.

Answer

Function M and Function P have the same rate of change.

Answer

Function M has a greater rate of change than Function P.

Question 25

The graph of a function is shown on the coordinate plane below.

Which statement correctly describes the function on a given interval?

Accepted Answer

The function is decreasing and nonlinear between $x=4$ and $x =11.$

Answer

The function is decreasing and nonlinear between $x=-7$ and $x =-4.$

Answer

The function is increasing and linear between $x=-4$ and $x =1.$

Answer

The function is increasing and linear between $x=1$ and $x =4.$

Question 26

Which set of ordered pairs does not represent a function?

Accepted Answer

${(9,1),\, (6,2), \,(3,3),\, (6,4), \,(9,5)}$

Answer

${(0,8),\, (5,4), \,(10,0),\, (15,4), \,(20,8)}$

Answer

${(1,10),\, (3,18), \,(5,26),\, (7,34), \,(9,42)}$

Answer

${(2,10),\, (3,20), \,(4,15),\, (5,5), \,(6,25)}$

Question 27

The set of ordered pairs below represents a relation that is a function.
{$(-2,8),\,(4,6),\,(10,4)$}
Which point, when added to the set, would form a relation that is not a function?

Accepted Answer

$(4,2)$

Answer

$(0,6)$

Answer

$(-8,10)$

Answer

$(-6,8)$

Question 28

The relationship between temperature in degrees Fahrenheit and degrees Celsius is shown in the graph below.

What is the meaning of the $y	ext{-intercept}$?

Accepted Answer

the temperature in degrees Fahrenheit when the temperature is zero degrees
Celsius

Answer

the change in degrees Fahrenheit for every change of one degree Celsius

Answer

the change in degree s Celsius for every change of one degree Fahrenheit

Answer

the temperature in degrees Cel sius when the temperature is zero degrees Fahrenheit

Question 29

Which of the equations listed below are linear equations?

$\quad 	ext{Equation I} : C=2\pi r$

$\quad 	ext{Equation II}: A = \pi r^2$

$\quad 	ext{Equation III}: V = \frac{4}{3} \pi r^3$

Accepted Answer

$	ext{equation I}$ only

Answer

$	ext{equations I}$ and $	ext{II}$

Answer

$	ext{equations II}$ and $	ext{III}$

Answer

$	ext{equation II}$ only

Question 30

Which table of values represents a linear function?

Accepted Answer

https://uploads.quizalize.com/d872e19e-b574-264d-1f7b-0e0b61a29099/question/84ed88a3-9f93-80c1-e891-90b369917f88.png

Answer

https://uploads.quizalize.com/d872e19e-b574-264d-1f7b-0e0b61a29099/question/c8eb28ee-60f4-ed3d-efd0-7e3463162ffc.png

Answer

https://uploads.quizalize.com/d872e19e-b574-264d-1f7b-0e0b61a29099/question/29107ffb-8d9a-9b10-d747-3fb8440edd45.png

Answer

https://uploads.quizalize.com/d872e19e-b574-264d-1f7b-0e0b61a29099/question/12ec199a-1f2e-82cc-e93c-2d50bcaf8bb7.png

Question 31

Function $1$ is represented by  the equation $y=-\frac{4}{5}x-2,$ and function $2$ is represented by the graph below.

For which of the functions are all the output values less than -1?

Accepted Answer

only function 2

Answer

neither function

Answer

only function 1

Answer

both functions

Question 32

Which table represents a relation that is NOT a function?

Accepted Answer

https://uploads.quizalize.com/d872e19e-b574-264d-1f7b-0e0b61a29099/question/ec4902ed-149d-d30e-ebaf-9fe090f69495.png

Answer

https://uploads.quizalize.com/d872e19e-b574-264d-1f7b-0e0b61a29099/question/83b99bc1-b2b3-5d57-5b86-526345bb68e0.png

Answer

https://uploads.quizalize.com/d872e19e-b574-264d-1f7b-0e0b61a29099/question/6f3cec02-15f8-5895-aa1c-c133d7f50889.png

Answer

https://uploads.quizalize.com/d872e19e-b574-264d-1f7b-0e0b61a29099/question/81a13e4b-6389-b55e-a6e9-51bd29900eea.png

Question 33

Which equation represents a nonlinear function?

Accepted Answer

$y=x^2+1$

Answer

$y=2x+\frac{1}{2}$

Answer

$y=\frac{x}{2}+1$

Answer

$y=-3x+1$

Question 34

A crane is lowering a concrete block from a height of $270$ feet above the ground at a constant rate of $2.5$ feet per second. Which function can be used to determine $h,$ the height, in feet, above the ground of the concrete block after $s$ seconds?

Accepted Answer

$h= 270 - 2.5s$

Answer

$h= 2.5s + 270$

Answer

$h= 2.5s - 2.70$

Answer

$h= 270s + 2.5$

Question 35

Function $	ext P$ is a linear function with a $y	ext {-intercept}$ of $5.$ Function $	ext {Q}$ is defined by the equation $y = -\frac{1}{3}x+4.$
Which statement MUST be true about functions $	ext P$ and $	ext Q?$

Accepted Answer

The functions will have different outputs when $x = 0.$

Answer

Both functions have the same slope.

Answer

Both functions have a negative slope.

Answer

The functions will have the same input when $y = 0.$

Question 36

Function $	ext J$ is shown on the coordinate grid below.

If the $y	ext{-intercept}$ of Function $	ext R$ is $\frac{3}{2}$ greater than the $	ext{y-intercept}$ of Function $	ext J,$ which equation could represent Function $	ext R?$

Accepted Answer

$y = 3x + 0.5$

Answer

$y = 4.5x- 1$

Answer

$y = - x + 4.5$

Answer

$y = 0.5x + 3$

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