Question 1

Which number is the CLOSEST APPROXIMATION of $\sqrt39$?

Accepted Answer

$6.2$

Answer

$6.5$

Answer

$7.7$

Answer

$7.5$

Question 2

Which number is irrational?

Accepted Answer

$9\sqrt3$

Answer

$9\sqrt4$

Answer

$4\sqrt9$

Answer

$3\sqrt9$

Question 3

Four numbers are shown below.

$\quad\pi \enspace \sqrt\enspace \pi \enspace \sqrt3 \enspace \sqrt8$

What is the order of the four numbers from LEAST to GREATEST?

Accepted Answer

$ \sqrt3 \enspace \sqrt\pi \enspace \sqrt8\enspace \pi $

Answer

$\pi \enspace \sqrt\pi \enspace \sqrt3 \enspace \sqrt8$

Answer

$ \sqrt3 \enspace \sqrt\pi \enspace \pi \enspace \sqrt8$

Answer

$ \sqrt\pi \enspace \sqrt3 \enspace \pi \enspace \sqrt8$

Question 4

Four points are graphed on the number line below.

Which point is located CLOSEST to the value of $-\sqrt5$?

Accepted Answer

point$ 	ext Y$

Answer

point$ 	ext X$

Answer

point$ 	ext W$

Answer

point$ 	ext Z$

Question 5

The average distances between some objects in our solar system are described below.

$\quad\bullet\enspace$The average distance from Earth to the Moon is $3.844 	imes 10^5 	ext{kilometers (km)}$. 
$\quad\bullet\enspace$ The average distance from Jupiter to the Sun is approximately $2 	imes 10^3$ times the average distance from Earth to the Moon.

Based on this information, what is the average distance from Jupiter to the Sun?

Accepted Answer

$7.688 	imes 10^8 \,	ext{km}$

Answer

$7.688 	imes 10^2 \,	ext{km}$

Answer

$7.688 	imes 10^{15} \,	ext{km}$

Answer

$7.688 	imes 10^5 \,	ext{km}$

Question 6

A system of two linear equations is represented by the graph below.

Which statement about the solution of the system of equations is true?

Accepted Answer

$(3, 2) $ is the only solution.

Answer

$(0, 0)$ is the only solution.

Answer

$(0, 0)$ and $(3, 2)$ are both solutions.

Answer

$(0, 0), (0, 6),$ and $(3, 2)$ are all solutions.

Question 7

Paul and Jacklyn are on a swim team.

$\quad\bullet\enspace$ Paul has completed $140$ laps so far this season. He completes an additional $12$ laps  during each practice. 
$\quad\bullet\enspace$ Jacklyn has completed $56$ laps so far this season. She completes an additional $16$ laps  during each practice.

Paul and Jacklyn each attend the same number of practices. After how many more practices  will Paul and Jacklyn have completed the same number of laps?

Accepted Answer

21

Answer

7

Answer

3

Answer

49

Question 8

Three functions of $x$ are represented below.

For the function with the GREATEST rate of change, what is its value when $x = 10$?

Accepted Answer

28

Answer

25

Answer

13

Answer

17

Question 9

The set of ordered pairs below represents a relation.

$\quad$ {$(0, 2), (1, 3), (1, 4), (2, 5), (3, 5)$}

Which statement about the relation is true?

Accepted Answer

The relation is not a function, but removing $(1, 4)$ and replacing it with $(4, 1)$ would make the new relation a function.

Answer

The relation is not a function, but removing $(3, 5)$ and replacing it with $(3, 6)$ would make the new relation a function.

Answer

The relation is a function.

Answer

The relation is not a function, but removing $(1, 3)$ and replacing it with $(2, 6)$ would make the  new relation a function.

Question 10

A carpenter is building cabinets. For each cabinet, she needs 8 sets of supplies. At store A, each set of supplies costs $$\$3.75$$. The total cost $(y)$, in dollars, of the supplies she needs to buy at store A to build x cabinets is represented by the equation shown below.

$y = 8(3.75x)$

At store B, the total cost $(y)$, in dollars, of the supplies she needs to buy to build $x$ cabinets is represented by the graph shown below.

The carpenter spends a total of $$\$180$$ on supplies. To which store did the carpenter go for supplies, and how many cabinets can she build?

Accepted Answer

The carpenter went to store A, and she can build 6 cabinets.

Answer

The carpenter went to store A, and she can build 15 cabinets.

Answer

The carpenter went to store B, and she can build 6 cabinets.

Answer

The carpenter went to store B, and she can build 5 cabinets.

Question 11

A linear function of x is graphed on a coordinate grid. The points $(6, 34)$ and $(18, 26)$ lie on  the graph of the function. What are the rate of change of the function and the value of the 
 function when $x = 24$?

Accepted Answer

rate of change: $\frac{-2}{3}$

value: $22$

Answer

rate of change: $\frac{-3}{2}$

value: $7$

Answer

rate of change: $\frac{-2}{3}$

value: $-41\frac{1}{3}$

Answer

rate of change: $\frac{-3}{2}$

value: $-100\frac{1}{2}$

Question 12

The graph shown below represents the rate at which water drains from a tank once the drain is opened.

Which statement correctly describes the graph?

Accepted Answer

The water is draining at a constant rate of $\frac{1}{2}$ gallon per minute, and the tank contained
exactly $14$ gallons when the drain was opened.

Answer

The water is draining at a constant rate of $5$ gallon per minute, and the tank contained
exactly $14$ gallons when the drain was opened.

Answer

The water is draining at a constant rate of $2$ gallon per minute, and the tank contained
exactly $14$ gallons when the drain was opened.

Answer

The water is draining at a constant rate of $2$ gallon per minute, and the tank contained
exactly $\frac{1}{2}$ gallons when the drain was opened.

Question 13

Triangle $	ext{ABC}$ has vertices located at $	ext A(1, -4),	ext B(4, -5)$, and $	ext C(2, -1)$ on a coordinate grid. 
Triangle $	ext{ABC}$ undergoes a transformation, resulting in triangle $	ext{DEF}$ with vertices located at  $	ext D(-1, -4), 	ext E(-4, -5)$, and $ 	ext F(-2, -1)$. Which pair of expressions describes a transformation of triangle $	ext{ABC}$ to triangle $	ext{DEF}$ and identifies the correct relationship between the two triangles?

Accepted Answer

transformation: reflection across the $	ext {y-axis}$
relationship: similar and congruent

Answer

transformation: reflection across the $y=x$ 
relationship: similar, but not congruent

Answer

transformation: reflection across the $	ext {y-axis}$ 
relationship: similar, but not congruent

Answer

transformation: reflection across the $y=x$
relationship: similar and congruent

Question 14

Triangle $	ext{RST}$ and triangle $	ext {R'S'T'}$ are congruent. Both triangles are graphed on the  coordinate grid shown below.

Which sequence of transformations could be used to show the congruence between  the triangles?

Accepted Answer

a translation $1$ unit to the right and $3$ units up and then a reflection across the $	ext{y-axis}$

Answer

a translation $2$ units to the right and then a reflection across the$	ext{y-axis}$

Answer

a translation $3$ units up and then a translation $5$ units to the right

Answer

a reflection across the $	ext{y-axis}$ and then a translation $1$ unit to the right and $3$ units up

Question 15

Jen walks straight across a rectangular park to school each morning. The dimensions of the park are shown below.

Which measurement is CLOSEST to the distance Jen walks to school each morning?

Accepted Answer

$86$ yards

Answer

$3,500$ yards

Answer

$7,400$ yards

Answer

$120$ yards

Question 16

A line segment is graphed on a coordinate grid. The endpoints of the line segment are located at $(-2, 1)$ and $(10, -4)$. The length, in units, of the line segment is equivalent to the height, in centimeters, of a cone. The radius of the circular base of the cone is $5$ centimeters. Which approximation is CLOSEST to the volume, in cubic centimeters, of the cone?

Accepted Answer

$340$

Answer

$183$

Answer

$1,361$

Answer

$497$

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