Question 1

A table of values for the exponential function f is shown below. Which situation could describe this function?

Accepted Answer

The value of a house increases by approximately 2 $\frac{3}{4}$ % per year.

Answer

The value of a house decreases by $3,850 per year.

Answer

The value of a house increases by $3,850 per year.

Answer

The value of a house decreases by approximately 2$\frac{3}{4}$ % per year.

Question 2

Students at a school will sell hats to raise money. There are some hats left over from last year, and 20 boxes of hats will be ordered this year. When the order arrives, the total number of hats the students will have can be determined using the function f(x) = 48x + 37, where x represents the number of boxes ordered. 
If the number of hats per box changes so that the situation is modeled by the function h(x) = 24x + 37, then how many fewer hats will the students have available to sell if they still order 20 boxes?

Accepted Answer

480

Question 3

What is the solution set for the quadratic equation
x$^2$ − 16 = 0?

Accepted Answer

{−4, 4}

Answer

{256}

Answer

{−256, 256}

Answer

{4}

Question 4

An airplane’s altitude in feet during its descent for landing can be found using the function f(x) = −300x + 30,000, where x represents the horizontal distance in miles from where the plane begins its descent. After new government regulations become law, the airplane’s descent will be modeled by the function g(x) = −300x + 30,500. Which statement describes this change?

Accepted Answer

The airplane starts its descent from an altitude 500 feet higher.

Answer

The airplane descends 500 feet per horizontal mile slower.

Answer

The airplane descends 500 feet per horizontal mile faster.

Answer

The airplane starts its descent from an altitude 500 feet lower.

Question 5

The function y = x$^2$ + x − 6 is graphed below.
What are the values of x when x$^2$ + x − 6 = −4?

Accepted Answer

x = −2 and x = 1

Answer

x = −5 and x = −6

Answer

x = −3 and x = 2

Answer

x = −4 and x = 6

Question 6

A table of values for the quadratic function f is shown below. If 3 is one solution to f(x) = 0, what is the value of the other solution?

Accepted Answer

-7

Question 7

The graph below shows the water level in a tank being drained at a constant rate. If the rate at which the tank is drained is changed to 3 inches per hour and the initial water level stays the same, how would the time it takes to empty the tank be affected?

Accepted Answer

It would take 2 fewer hours.

Answer

It would take 1.5 more hours.

Answer

It would take 4 fewer hours.

Answer

It would take 2 more hours.

Question 8

What are the x-intercepts of the graph of the quadratic function 
f(x) = 5x$^2$ + 4x − 1?

Accepted Answer

$\frac{1}{5}$ and -1

Answer

- $\frac{2}{5}$ and 1 $\frac{2}{5}$

Answer

-$\frac{1}{5}$ and 1

Answer

0 and -1

Question 9

Which expression is equivalent to:

Accepted Answer

$\frac{4x^4y^2}{z}$

Answer

$\frac{4x^8z^5}{y^-10}$

Answer

$\frac{9x^4y^2}{z}$

Answer

$\frac{9x^8y^5}{y^-10}$

Question 10

The graph of quadratic function g is shown below. Based on the graph, between which two values of x is a zero of g located?

Accepted Answer

4 and 5

Answer

1 and 2

Answer

-7 and -5

Answer

-9 and -8

Question 11

The length, in feet, of a small train at an amusement park can be modeled by the function f(c) = 9c + 14, where c is the number of passenger cars attached to the locomotive. The original passenger cars were replaced, and the length of the train is now modeled by the function h(c) = 12c + 14. Based on this information, which statement describes the change in this situation?

Accepted Answer

Each passenger car is now 12 feet long, and the length of the locomotive remained the same.

Answer

Each passenger car is now 9 feet long, and the length of the locomotive remained the same.

Answer

The locomotive is now 12 feet long, and the length of each passenger car remained the same.

Answer

The locomotive is now 9 feet long, and the length of each passenger car remained the same.

Question 12

The table of values for quadratic function g is shown below. 
If 1 is a solution to g(x) = 0, what is the other solution?

Accepted Answer

3

Answer

-1

Answer

6

Answer

-2

Question 13

A farmer uses a lever to move a large rock. The force required to move the rock varies inversely with the distance from the pivot point to the point the force is applied. A force of 50 pounds applied to the lever 36 inches from the pivot point of the lever will move the rock.
Which function models the relationship between F, the amount of force applied to the lever, and d, the distance of the applied force from the pivot point?

Accepted Answer

F = $\frac{1,800}{d}$

Answer

F = $\frac{d}{86}$

Answer

d = $\frac{F}{1,800}$

Answer

d = $\frac{86}{F}$

Question 14

What are the solutions to the equation x$^2$ − 4x = −1?

Accepted Answer

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Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/d134946d0c77f799b4e8ad62bf270273940f9d1b.png

Answer

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Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/571fbd64dea40b702287a81b1ed8dfd79f9e3b05.png

Question 15

The table shows the functions used to determine the number of points earned every month by regular and elite members of a dining club who spend d dollars that month at participating restaurants. Which statement describes the difference in these situations?

Accepted Answer

Elite members earn 3 more points for every dollar spent and are automatically awarded 100 more points per month than regular members.

Answer

Regular members earn 3 more points for every dollar spent and are automatically awarded 100 more points per month than elite members.

Answer

Regular members earn 3 more points for every dollar spent and are automatically awarded 200 more points per month than elite members.

Answer

Elite members earn 3 more points for every dollar spent and are automatically awarded 200 more points per month than regular members.

Question 16

Which statement about the quadratic equation below is true?

−4.5x$^2$ + 72 = 0

Accepted Answer

The equation has x = 4 and x = −4 as its only solutions.

Answer

The equation has x = 4 as its only solution.

Answer

The equation has no real solutions.

Answer

The equation has an infinite number of solutions.

Question 17

Which expression is equivalent to:

Accepted Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/90aa9b606dcdedc70789f6a0739d130563f38b9e.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/b1843b9066a70835b4fe6872117bd609af9d773e.png

Answer

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Answer

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Question 18

The cost of staying at a hotel can be found using the function y = 129x + 9.95, where x is the number of days a guest stays at the hotel and y is the cost in dollars. The cost includes a flat fee for Internet access. If the fee for Internet access is not included, which statement is true?

Accepted Answer

The cost is $9.95 less.

Answer

The cost is $9.95 more.

Answer

The cost is $9.95 more per day.

Answer

The cost is $9.95 less per day.

Question 19

The graph of quadratic function r is shown on the grid. What is a solution to r(x) = 0?

Accepted Answer

14

Answer

4

Answer

-60

Answer

-50

Question 20

A rectangular prism has a width of x inches, a length of x$^2$y inches, and a height of y$^2$ inches. Which expression represents the volume in cubic inches of this rectangular prism?

Accepted Answer

x$^3$y$^3$

Answer

x$^2$y$^2$

Answer

4x$^3$y$^3$

Answer

4x$^2$y$^2$

Question 21

A scientist needs to print a research report on her computer’s printer. If she prints in black ink only, b(t) 152 − 33t describes the number of pages left to print after t minutes. If she prints in colored ink, c(t) 152 − 30t describes the number of pages left to print after t minutes. Based on this information, which statement is true?

Accepted Answer

The printer prints 3 fewer pages per minute in colored ink than in black ink.

Answer

The printer prints 3 more pages per minute in colored ink than in black ink.

Answer

The printer prints the entire research report in 152 minutes.

Answer

The printer prints the same number of pages per minute in either type of ink.

Question 22

The function L = 0.8T$^2$   models the relationship between L, the length in feet of a pendulum, and T, the period in seconds of the pendulum. Which value is closest to the period in seconds for a pendulum that is 30 ft long?

Accepted Answer

6.1 s

Answer

4.9 s

Answer

5.4 s

Answer

6.8 s

Question 23

What are the solutions to the equation
3x$^2$ + 15x = 18?

Accepted Answer

x = −6 and x = 1

Answer

x = 6 and x = 13

Answer

x = −3 and x = −2

Answer

x = 0 and x = 1

Question 24

The cost of parking in the garage at the airport is $16 per day. A separate parking facility outside the airport charges 25% less per day to park. What would be the savings in dollars and cents of parking for 6 days in the facility outside the airport instead of in the airport garage?

Accepted Answer

24

Question 25

If the value of y varies inversely with x, which function represents the relationship between x and y if y = 48 when x = 3?

Accepted Answer

y = $\frac{144}{x}$

Answer

y = $\frac{16}{x}$

Answer

y = $\frac{x}{144}$

Answer

y = $\frac{x}{16}$

Question 26

The graphs show the cost of attending a county fair on Thursday and on Saturday and playing x games each day. Based on the graphs, which statement is true?

Accepted Answer

A person would spend $4 more to attend the fair and play 6 games on Saturday than on Thursday.

Answer

The cost of each game on Saturday is $2 less than the cost of each game on Thursday.

Answer

A person would spend $3 more to attend the fair and play 5 games on Thursday than on Saturday.

Answer

The cost of each game on Thursday is $0.50 less than the cost of each game on Saturday.

Question 27

Which expression is equivalent to 
2x$^2$ + (4x - 6x$^2$) + 9 - (6x + 3)?

Accepted Answer

-4x$^2$ - 2x + 6

Answer

-10x + 6

Answer

-4x$^2$ - 2x + 12

Answer

18x + 12

Question 28

Which expression is equivalent to 
2x$^2$ + 7x+ 4?

Accepted Answer

None of these.

Answer

(2x + 1)(x + 4)

Answer

(2x + 1)(x - 4)

Answer

(2x -1)(x + 4)

Question 29

Which expression is equivalent to:

Accepted Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/a17ff8b5e4b2484c572f350458abc97bf2b73fc4.PNG

Answer

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Answer

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Answer

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Question 30

Which expression is equivalent to
9q$^2$ - $\frac{2}{3}$ (3q - 7) + 5q$^2$?

Accepted Answer

14q$^2$ - 2q +$\frac{14}{3}$

Answer

14q$^2$ - $\frac{5}{3}$q - $\frac{14}{3}$

Answer

9q$^2$  - 2q - 3

Answer

9q$^2$ - $\frac{5}{3}$q - 3

Question 31

Which of the following is equivalent to
3x - 4y = 6?

Accepted Answer

y = $\frac{3}{4}$x - $\frac{3}{2}$

Answer

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

Answer

y = $\frac{4}{3}$ x + 2

Answer

y = -$\frac{6}{7}$x

Question 32

Which expression is a factor of
36x$^2$ - 49?

Accepted Answer

6x - 7

Answer

18x - 7

Answer

6x - 49

Answer

18x - 49

Question 33

Given f(x) = 6(1 - x), what is the value of f(-8)?

Accepted Answer

54

Question 34

A circle has a radius of 6x$^2$y$^5$ cm. The area of a  circle can be found using A = πr$^2$. What is the area of this circle in square centimeters?

Accepted Answer

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Answer

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Answer

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Answer

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Question 35

Which table represents y as a function of x?

Accepted Answer

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Answer

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Answer

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Answer

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Question 36

Which expression is a factor of
x$^2$ - 5x - 6?

Accepted Answer

x - 6

Answer

x - 3

Answer

x - 1

Answer

x - 2

Question 37

The diagram shows the floor plan of a storage facility. All dimensions are given in feet. Which expression represents the area of the storage facility in square feet?

Accepted Answer

20x$^2$ - 4x - 16

Answer

16x$^2$ - 16

Answer

9x$^2$ - 16

Answer

20x$^2$ + 36x - 16

Question 38

Which expression is equivalent to $\sqrt{147}$?

Accepted Answer

7 $\sqrt{3}$

Answer

49 $\sqrt{3}$

Answer

21$\sqrt{7}$

Answer

3 $\sqrt{7}$

Question 39

The area of a rectangle is 54x$^9$y$^8$ square yards. 
If the length of the rectangle is 6x$^3$y$^4$ yards, which expression represents the width of the rectangle in yards?

Accepted Answer

9x$^6$y$^4$

Answer

60x$^{12}$y$^{12}$

Answer

48x$^6$y$^4$

Answer

9x$^3$y$^2$

Question 40

A shoe company is going to close one of its two stores and combine all the inventory from both stores. These polynomials represent the inventory in each store:

Store A: $\frac{1}{2}$g$^2$ + $\frac{7}{2}$

Store B: 3g$^2$ - $\frac{4}{5}$g + $\frac{1}{4}$

Which expression represents the combined inventory of the two stores?

Accepted Answer

$\frac{7}{2}$g$^2$ - $\frac{4}{5}$g + $\frac{15}{4}$

Answer

$\frac{7}{2}$g$^2$ + $\frac{4}{5}$g + $\frac{15}{4}$

Answer

$\frac{7}{2}$g$^2$ - $\frac{4}{5}$g + $\frac{4}{3}$

Answer

$\frac{7}{2}$g$^2$ + $\frac{4}{5}$g + $\frac{4}{3}$

Question 41

Which expression is equivalent to 
6x$^2$ + 13x + 5?

Accepted Answer

(2x + 1)(3x + 5)

Answer

(2x + 5)(3x - 1)

Answer

(2x - 1)(3x - 5)

Answer

(2x - 5)(3x + 1)

Question 42

The expression 
(x$^3$)(x$^{17}$) 
is equivalent to 
x$^n$. 
What is the value of n?

Accepted Answer

-14

Question 43

A sequence can be generated by using 
a$_n$ = 4a$_{(n-1)}$, where a$_1$ = 6 and n is a whole number greater than 1. 
What are the first four terms in the sequence?

Accepted Answer

6, 24, 96, 384

Answer

6, 10, 14, 18

Answer

6, 20, 100, 500

Answer

6, 20, 76, 300

Question 44

Which expression is equivalent to 
m$^2$ - 13m - 30?

Accepted Answer

(m - 15)(m + 2)

Answer

(m - 10)(m - 3)

Answer

(m + 15)(m - 2)

Answer

(m + 10)(m + 3)

Question 45

Which table does NOT show y as a function of x?

Accepted Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/021893a1549e1cb8926bd21ffd25a8fda112cf1e.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/e27949ce28ee56c437ac4c3f63ba64522e260cfc.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/39429432cc594672756873f531a0e6c172726a6a.png

Answer

https://uploads.quizalize.com/a4a293dd-1aa6-4ac2-8e25-3772761571e6/question/c4ef467d2d44fe9974e281a4c2e253676c931159.png

Question 46

Which expression is a factor of 
18x$^2$ - 15x + 2?

Accepted Answer

3x - 2

Answer

9x - 1

Answer

2x - 1

Answer

x - 2

Question 47

If p(x) = 5(x$^2$ + 1) + 16, what is the value of p(11)?

Accepted Answer

626

Answer

690

Answer

622

Answer

736

Question 48

Which expression is equivalent to
(7x$^3$)(x$^8$)$^\frac{1}{2}$?

Accepted Answer

49x$^{10}$

Answer

14x$^{10}$

Answer

14x$^7$

Answer

49x$^7$

Question 49

Which expression is equivalent to $-28x^2 + 35x$?

Accepted Answer

$-7x(4x - 5)$

Answer

$7x(4x - 5)$

Answer

$-7x(4x + 5)$

Answer

$7x(4x + 5)$

Question 50

Which expression is equivalent to $(144 k^2 r^{14})^\frac{1}{2}$ for all positive values of $k$ and $r$?

Accepted Answer

$12kr^7$

Answer

$12k^2r^{14}$

Answer

$72k^2r^{14}$

Answer

$144kr^7$

Question 51

In a sequence of numbers, $a_3 = 0$, $a_4 = 6$, $a_5 = 12$, $a_6 = 18$, and $a_7 = 24$. Based on this information, which equation can be used to find the $n^{th}$ term in the sequence, $a_n$?

Accepted Answer

$a_n=6n-18$

Answer

$a_n=-18n+6$

Answer

$a_n=-6n+18$

Answer

$a_n=18n-6$

Question 52

Which expression is equivalent to $x^2$ − $17x$ − $60$?

Accepted Answer

$(x-20)(x + 3)$

Answer

$(x-5)(x-12)$

Answer

$(x-20)(x-3)$

Answer

$(x+5)(x-12)$

Question 53

Given $f(x)=\frac{1}{3}(4-x)^2$, what is the value of $f(16)$? Record your answer and fill in the bubbles on your answer document.

Accepted Answer

48

Question 54

Which expression is equivalent to $\frac{(q^4)^{-3}}{q^{-15}}$ for all values of $q$ where the expression is defined?

Accepted Answer

$q^{3}$

Answer

$\frac{1}{q^{3}}$

Answer

$q^{27}$

Answer

$\frac{1}{q^{27}}$

Question 55

Which expression is a factor of $21x^2 + 13x-20$?

Accepted Answer

$7x-5$

Answer

$7x+4$

Answer

$3x-4$

Answer

$3x+5$

Question 56

Which expression is equivalent to $(h^2 + 9h-1)(-4h + 3)$?

Accepted Answer

$-4h^3-33h^2 + 31h-3$

Answer

$-4h^3-39h^2+23h+3$

Answer

$4h^3+39h^2-23h-3$

Answer

$4h^3+33h^2-31h+3$

Question 57

Which expression is a factor of $9r^2-4r + 1$?

Accepted Answer

There are no real factors.

Answer

$r-1$

Answer

$3r-1$

Answer

$9r-1$

Question 58

Which expression is equivalent to $\frac {10q^5w^7}{2w^3} \cdot \frac {4(q^6)^2}{w^{-5}}$ for all values of $q$ and $w$ where the expression is defined?

Accepted Answer

$20q^{17}w^9$

Answer

$\frac {32q^7} {w}$

Answer

$20qw$

Answer

$32q^7w^9$

Question 59

Which expression is equivalent to $\sqrt96$?

Accepted Answer

$4\sqrt6$

Answer

$24$

Answer

$8\sqrt6$

Answer

$48$

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