Question 1

Which graph represents a linear function of $x$?

Accepted Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/fe77b2a88f1829a8a04b8e2611514ccbdb930780.png

Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/9aeafbb20f73eb9e767cba7094689a25ead1deba.png

Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/2f92f527fd2061917de4d41e28c1de90b00c6ebd.png

Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/9df3a70ee32b84310849ab969d1105925d4c824b.png

Question 2

What is the value of the expression shown below?
$\frac{1.6	imes10^5}{0.2	imes10^2}$

Accepted Answer

$8	imes10^3$

Answer

$0.8	imes10^3$

Answer

$0.8	imes10^7$

Answer

$8	imes10^7$

Question 3

At a factory, the cost of making different numbers of toothbrushes is shown in the table below.

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 4

A company makes two different-sized ice cream cones. The smaller cones are 3.5 inches tall and have a diameter of 3 inches. The larger cones are 5.1 inches tall and have a diameter of 4.5 inches. About how much greater, to the nearest tenth of a cubic inch, is the volume of the larger cone than the volume of the smaller cone?

Accepted Answer

18.8

Answer

225.5

Answer

56.4

Answer

75.2

Question 5

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 6

Which equation represents the line shown on the coordinate plane below?

Accepted Answer

$y=-\frac{1}{4}x$

Answer

$y=-4x$

Answer

$y=4x$

Answer

$y=\frac{1}{4}x$

Question 7

The closest distance between Earth and Mars is approximately miles $3.39	imes10^7\,	ext{miles}.$  The fastest rocket leaving Earth travels at an average speed of approximately $3.6	imes 10^4$miles per hour. At that rate, which expression could be used to determine the approximate number
of hours it would take the rocket to travel that distance?

Accepted Answer

$(3.39	imes10^7)  \div (3.6	imes 10^4)$

Answer

$(3.6	imes 10^4)\div (3.39	imes10^7)$

Answer

$(3.6	imes 10^4)-(3.39	imes10^7)$

Answer

$(3.39	imes10^7)  - (3.6	imes 10^4)$

Question 8

Triangle

A

and triangle

B

are graphed on the coordinate plane below. Which sequence of transformations will map triangle

A

onto its congruent image, triangle

B?

Accepted Answer

a reflection over the $x$-axis, then a translation $6$ units to the left

Answer

a rotation $90^\circ$ clockwise about the origin, then a translation $6$ units to the left

Answer

a translation $8$ units down, then a reflection over the $y$-axis

Answer

a reflection over the $x$-axis, then a reflection over the $y$-axis

Question 9

Which system of equations has no solution?

Accepted Answer

$\Bigg\{\begin{matrix}7x-2y=9\7x-2y=13\end{matrix}$

Answer

$\Bigg\{\begin{matrix}3x+4y=5\6x+8y=10\end{matrix}$

Answer

$\Bigg\{\begin{matrix}3x+6y=1\x+y=0\end{matrix}$

Answer

$\Bigg\{\begin{matrix}2x-y=-11\-2x+y=11\end{matrix}$

Question 10

A line is graphed on the coordinate plane below.

Line $y=-x+2$ will be graphed on the same coordinate plane to create a system of equations. What is the solution to that system of equations?

Accepted Answer

$(4,-2)$

Answer

$(2,-4)$

Answer

$(-2,4)$

Answer

$(0,-4)$

Question 11

Rectangle $A'B'C'D'$ is similar to rectangle $ABCD$, as shown on the coordinate plane below.

Which sequence of transformations maps rectangle $ABCD$ onto rectangle $A'B'C'D'?$

Accepted Answer

a reflection over the $y$-axis, then a dilation by a scale factor of $\frac{1}{2}$ with a center of dilation at the origin

Answer

a dilation by a scale factor of $\frac{1}{2}$with a center of dilation at the origin, then a $90^\circ$ counterclockwise rotation about the origin

Answer

a  $90^\circ$ counterclockwise rotation about the origin, then a dilation by a scale factor of $\frac{1}{2}$ with a center of dilation at the origin

Answer

a translation $8$ units to the left, then a dilation by a scale factor of $\frac{1}{2}$ with a center of dilation at the origin

Question 12

Patty has a flower box in the shape of a rectangular prism with interior dimensions that are $15$ inches in length, $8$ inches in width, and $6$ inches in height. Patty will fill the flower box $\frac{3}{4}$full of soil. How many cubic inches of soil will be in the flower box?

Accepted Answer

$540$

Answer

$516$

Answer

$720$

Answer

$387$

Question 13

Which statement BEST describes the data in a scatter plot where the $y$-values are decreasing as the $x$-values are increasing?

Accepted Answer

The data can best be modeled by a line with a negative slope.

Answer

The data can best be modeled by a horizontal line.

Answer

The data can best be modeled by a line with a positive slope.

Answer

The data can best be modeled by a vertical line.

Question 14

Which proportional relationship has the greatest rate of change?

Accepted Answer

$y=7x$

Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/7c7a891fdb37a11dc5ecdea0a9fbe3b650223085.png

Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/1dc65fcddba0db4ccf5cf2355fc593e6c9109fb7.png

Answer

The value of $y$ increases by $12$ for every increase of in the value of $x$.

Question 15

Which expression is equivalent to $(5^{-2})^5	imes5^4 ?$

Accepted Answer

$\frac{1}{5^6}$

Answer

$5^7$

Answer

$\frac{1}{5^{40}}$

Answer

$5^{12}$

Question 16

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 17

The scatter plot below shows the average number of customers who visit a food truck per day, depending on the number of days the food truck stays in the same location.

Which statement BEST describes the association between the number of days the food truck is in the same location and the number of customers who visit the food truck per day?

Accepted Answer

There is a positive linear association.

Answer

There is a nonlinear association.

Answer

There is a negative linear association.

Answer

There is no association.

Question 18

The measures of the angles in triangle $UVW$ are shown in the diagram below.

What is the value of $x?$

Accepted Answer

$45$

Answer

$21$

Answer

$126$

Answer

$39$

Question 19

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 20

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 21

Two solids are described in the list below.
$\bullet\enspace$ One solid is a sphere and has a radius of $6$ inches.
$\bullet\enspace$ The other solid is a cylinder with a radius of $6$ inches and a height of $6$ inches.

What is the difference between the volumes, in cubic inches, of the solids in terms of $\pi$?

Accepted Answer

$72\pi$

Answer

$144\pi$

Answer

$288\pi$

Answer

$216\pi$

Question 22

The shoe sizes and the heights for 20 classmates were plotted as ordered pairs on a scatter plot. A line of best fit was drawn to model the data. Which scatter plot shows the most accurate line of best fit?

Accepted Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/3dc817bd99a9b5a9bd0cadc8c02189339ca3ecd1.png

Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/6e2ed0463b9707bab56e1230e2c3aa72f5104d29.png

Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/61dbad8f0e9cda09ece8e7a3d87862c5746ff397.png

Answer

https://uploads.quizalize.com/9df1f44e-e496-4ab3-8fb3-b6911dce96f7/question/088a84886d7509998afc371ea4122c6f734ebf0b.png

Question 23

Which expression is equivalent to $(7^{-8})\,(7^3)?$

Accepted Answer

$7^{-5}$

Answer

$49^{-11}$

Answer

$49^{-5}$

Answer

$7^{11}$

Question 24

The scatter plot below shows the relationship between the outside temperature and the number of cups of hot chocolate sold at an event.

Which statement describes the data?

Accepted Answer

There is a negative linear association between the outside temperature, in degrees
Fahrenheit, and the number of cups of hot chocolate sold.

Answer

There is a nonlinear association between the outside temperature, in degrees
Fahrenheit, and the number of cups of hot chocolate sold.

Answer

There is a positive linear association between the outside temperature, in degrees
Fahrenheit, and the number of cups of hot chocolate sold.

Answer

There is no association between the outside temperature, in degrees Fahrenheit,
and the number of cups of hot chocolate sold.

Question 25

Triangle $ABC$ is graphed on a coordinate plane, as shown below.

Triangle $ABC$ is dilated by a scale factor of $2$ with a center of dilation at the origin to create $	riangle$$A'B'C'$ . What are the coordinates of the vertices of $	riangle$ $A'B'C'?$

Accepted Answer

$(4,4),\,(8,8),\,(-8,4)$

Answer

$(4,2),\,(8,6),\,(-8,2)$

Answer

$(4,4),\,(6,6),\,(-2,4)$

Answer

$(1,1),\,(2,2),\,(-2,1)$

Question 26

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

$(-6,8)$

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