Question 1

At a restaurant jars of tomato sauce are stored in boxes in the pantry. Each box contains 8 jars of tomato sauce. A cook uses 2 jars from 1 of the boxes. Which function shows the relationship between $y$, the total number of jars of tomato sauce remaining in the pantry, and $x$, the number of boxes in the pantry?

Accepted Answer

$y$ = $8x$−$2$

Answer

$y = 8x + 6$

Answer

$y = 8x$

Answer

$y = 6x$

Question 2

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 3

Which graph best represents a system of equations that has no solution?

Accepted Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/7cde29b0-6f20-11f6-05a6-6f48c7c78f5e.png

Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/df5d2fac-fc26-3855-3c5b-02033af9da1c.png

Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/f1945f5f-768e-8be7-2df9-40d61a09a0df.png

Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/59237e11-9b20-0678-bd05-40891c02b21f.png

Question 4

Which statement about the graph of $y = 8(0.25)^x$ is true?

Accepted Answer

The coordinates of the $y$-intercept are $(0, 8)$.

Answer

The graph includes the point $(2, 1)$.

Answer

The equation of the asymptote is $x = 0$.

Answer

The coordinates of the $x$-intercept are $(0.25, 0)$.

Question 5

What is the range of $y = -x ^2-2x + 3$?

Accepted Answer

$y \le 4$

Answer

$y \ge -4$

Answer

$x \le 4$

Answer

$x \ge -4$

Question 6

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 7

The graph shows the height in feet of an object above the ground t seconds after it was launched from the ground.
Which function is best represented by the graph of this situation?

Accepted Answer

$h(t)$ = $-16t^2$ + $64t$

Answer

$h(t)$ = $-16t^2$ - $128t$ - $256$

Answer

$h(t)$ = $-16t^2$ + $128t$ - $256$

Answer

$h(t)$ = $-16t^2$ − $64t$

Question 8

What value of n makes the equation $4$($0.5n$ − $3$) = $n$ − $0.25$($12$ − $8n$) true?

Accepted Answer

-9

Answer

-15

Answer

3

Question 9

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 10

The value of $y$ varies directly with $x$. If $x = 3$, then $y = 21$. What is the value of $x$ when $y = 105$?

Accepted Answer

$15$

Answer

$1\frac{2}{3}$

Answer

$7$

Answer

$\frac{3}{5}$

Question 11

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 12

A zookeeper recorded the feeding schedule for a baby rhinoceros for 20 weeks. The table and scatterplot show the percentage of the baby rhinoceros's body mass that was used to determine the amount of food given at each feeding as a linear function of its age in weeks.

What is the best prediction of the percentage of the baby rhinoceros's body mass that should be used to determine the amount of food given at each feeding when it is 25 weeks old?

Accepted Answer

6%

Answer

10%

Answer

2.50%

Answer

8.50%

Question 13

What are the domain and range of $f (x)=-37$?

Accepted Answer

Domain: All real numbers
Range: {−37}

Answer

Domain: All real numbers
Range: All real numbers greater than or equal to −37

Answer

Domain: {−37}
Range: All real numbers

Answer

Domain: All real numbers greater than or equal to −37
Range: All real numbers

Question 14

Two customers went to a post office to buy postcards and large envelopes. Each postcard costs the same amount, and each large envelope costs the same amount.
• The first customer paid $12 for 14 postcards and 5 large envelopes. 
• The second customer paid $24.80 for 10 postcards and 15 large envelopes. 
What was the cost in dollars of each large envelope?

Accepted Answer

$1.42

Answer

$0.63

Answer

$0.35

Answer

$1.15

Question 15

The water level of a river was measured each day during a two-week period. The graph models the linear relationship between the water level of the river in feet and the number of days the water level was measured.
Which statement best describes the y-intercept of the graph?

Accepted Answer

The initial water level was 16 ft.

Answer

The maximum water level was 19.5 ft

Answer

The water level was measured for 14 days.

Answer

The water level increased by 0.25 ft per day.

Question 16

There are 1,024 players in a tennis tournament. In each round, half the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of $x$ rounds?

Accepted Answer

$f (x) = 1,024(0.50)^x$

Answer

$f (x) = 1,024(0.05)^x$

Answer

$f(x ) = 1,024(1.05)^x$

Answer

$f (x) = 1,024(1.50)^x$

Question 17

Which statement about $g(x) = x^2-576$ is true?

Accepted Answer

The zeros, $-24$ and $24$, can be found when $0 = (x + 24)(x-24)$.

Answer

The only zero, $24$, can be found when $0 = (x-24)^2$

Answer

The only zero, $288$, can be found when $0 = (x-288)^2$.

Answer

The zeros, $-288$ and $288$, can be found when $0$ = $(x+288)(x-288)$.

Question 18

Which graph best represents the solution set of $-4x\le6y-54$?

Accepted Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/6a19bf70-31cc-c181-54c5-b5a7d90d5a1a.png

Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/d606e691-2577-ffc7-3a4b-4a89cdd8b319.png

Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/b7c3fdcf-53b9-ca04-a85c-43f9d9850c5f.png

Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/5a903c89-0fa3-9863-c6a5-42ef270b1df7.png

Question 19

The graph shows the linear relationship between the maximum area in square feet that can be painted and the number of gallons of paint used. Which of these best represents the rate of change of the maximum area painted with respect to the number of gallons of paint used?

Accepted Answer

$400 ft^2 /gal$

Answer

$\frac{1}{200} ft^2 /gal$

Answer

$200 ft^2 /gal$

Answer

$\frac{1}{400} ft^2 /gal$

Question 20

What are the solutions to $(x + 7)^2 = 81$?

Accepted Answer

$-16$ and $2$

Answer

$-2$ and $16$

Answer

$-88$ and $74$

Answer

$-74$ and $88$

Question 21

What appears to be the domain of the part of the exponential function graphed on the grid?

Accepted Answer

$-1\le x \le 3$

Answer

$5.3\le y \le 27$

Answer

$-1\le y \le 3$

Answer

$5.3\le x \le 27$

Question 22

The tables of ordered pairs represent some points on the graphs of lines $q$ and $v$.
Which system of equations is represented by lines $q$ and $v$?

Accepted Answer

$3x - y= -27$  
$x + 2y = 16$

Answer

$9x - y= -27$  
$x + 2y = 8$

Answer

$21x - y= 9$  
$5x + 6y = 40$

Answer

$21x - y= 9$  
$5x + 6y = 20$

Question 23

Which situation does NOT show causation?

Accepted Answer

When there is more protein in an athlete's diet, the athlete scores more points in a game.

Answer

When the student population at a school increases, the number of teachers at the school increases.

Answer

When the amount of sugar in a quart of apple juice is reduced, there are fewer calories in each serving.

Answer

When there are more workers on a project, the project is completed in less time.

Question 24

Which function is equivalent to $f(x) =-4(x + 7)^2-6$?

Accepted Answer

$f(x) =-4x^2-56x-202$

Answer

$f(x) =-4x^2-56x-172$

Answer

$f(x) =-4x^2+14x+43$

Answer

$f(x) =-4x^2+190$

Question 25

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 26

Which graph best represents a quadratic function that has only one zero?

Accepted Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/7839c833-f709-2608-b64f-4fb4ca6a15e2.png

Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/c97eb5e2-8be8-8468-f98b-8132a0a51d2d.png

Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/ef712bb1-1890-dc43-0c2c-18ba893d9faf.png

Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/4ed88fa1-41a9-37be-39cc-8f93af87f34b.png

Question 27

What is the solution set for $-4x + 10\ge 5x + 55$?

Accepted Answer

$x\le-5$

Answer

$x\ge45$

Answer

$x\ge5$

Answer

$x\le-45$

Question 28

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

Accepted Answer

$7x-5$

Answer

$7x+4$

Answer

$3x-4$

Answer

$3x+5$

Question 29

What are the equation and slope of the line shown on the grid?

Accepted Answer

$x = 6$; slope is $undefined$.

Answer

$x = 6$; slope is $zero$.

Answer

$y = 6$; slope is $6$.

Answer

$y = 6$; slope is $-\frac{1}{6}$.

Question 30

In the year 1900, the total number of metric tons of copper produced in the world was 495,000. Each year since 1900, the total number of metric tons of copper produced has increased on average by about 3.25% over the amount produced the previous year. Which function models the total number of metric tons of copper produced in the year that is $x$ years since 1900?

Accepted Answer

$c(x) = 495,000(1.0325)^x$

Answer

$c(x) = 495,000x^{1.0325}$

Answer

$c(x) = 495,000(0.9675)^x$

Answer

$c(x) = 495,000x^{0.9675}$

Question 31

The graphs of linear functions $f$ and $g$ are shown on the grid.
Which function is best represented by the graph of $g$?

Accepted Answer

$g(x ) = \frac{1}{3}f(x)$

Answer

$g(x ) = f (x)-4$

Answer

$g(x) = 3f(x)$

Answer

$g(x) = f(x)-2$

Question 32

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 33

There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7 inches or 12 inches. The diameter of all 15 plates combined is 140 inches.
Which system of equations can be used to find the number of 7-inch plates, $x$, and the number of 12-inch plates, $y$, that are in the cabinet?

Accepted Answer

$x + y = 15$
$7x + 12y = 140$

Answer

$x + y = 140$
$12x + 7y = 15$

Answer

$7x +12 y = 140$
$7x + 12y = 15$

Answer

$x + y = 15$
$12x + 7y = 140$

Question 34

The graph of quadratic function $f$ is shown on the grid.
Which of these best represents the domain of $f$?

Accepted Answer

All real numbers

Answer

$-3\le x \le 2$

Answer

All real numbers less than $-3$ or greater than $2$

Answer

$y \ge 5.5$

Question 35

What is the equation in slope-intercept form of the line that passes through the point $(2,-2)$ and is perpendicular to the line represented by $y= \frac {2}{5}x+2$

Accepted Answer

$y= -\frac {5}{2}x+3$

Answer

$y= -\frac {5}{2}x-3$

Answer

$y= \frac {5}{2}x-7$

Answer

$y= \frac {5}{2}x+7$

Question 36

Which graph best represents $f(x) = 2(5)^x$?

Accepted Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/5cf44fd5-96e1-e5fe-59cb-da005bae6540.png

Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/384e4fe2-30a8-15aa-5fbe-71309ae16877.png

Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/699b1e80-a188-8da4-d8b2-b53ec94f910f.png

Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/27842470-fcf1-b46b-3c15-39b51773f0ef.png

Question 37

The area of a rectangular trampoline is $112 ft^2$. The length of the trampoline is $6 ft$ greater than the width of the trampoline. This situation can be represented by the equation $w^2 + 6w-112 = 0$.
What is the width of the trampoline in feet?

Accepted Answer

$8 ft$

Answer

$14 ft$

Answer

$16 ft$

Answer

$7 ft$

Question 38

The graph of a linear function is shown on the grid.
Which equation is best represented by this graph?

Accepted Answer

$y + 7 = -3(x-4)$

Answer

$y-2= 3(x-1)$

Answer

$y + 1 = -3(x+2)$

Answer

$y-4= 3(x+7)$

Question 39

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 40

The graph of $2x-5y = 10$ is shown on the grid.
Which ordered pair is in the solution set of $2x-5y \ge 10$?

Accepted Answer

$(5, 0)$

Answer

$(0, 5)$

Answer

$(-2, 5)$

Answer

$(-5, 2)$

Question 41

Scientists are studying a bacteria sample. The function $f(x) = 245(1.12)^x$ gives the number of bacteria in the sample at the end of $x$ days.
Which statement is the best interpretation of one of the values in this function?

Accepted Answer

The number of bacteria increases at a rate of 12% each day.

Answer

The initial number of bacteria is 12.

Answer

The number of bacteria at the end of one day is 245.

Answer

The initial number of bacteria decreases at a rate of 88% each day.

Question 42

The daily cost of hiring a plumber, $y$, to work $x$ hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $$\$80$$ plus an additional cost of $$\$45.00$$ per hour. The plumber works a maximum of 8 hours per day. For one day of work, what is the range of the function for this situation?

Accepted Answer

$80 \le y \le 440$

Answer

$45 \le y \le 685$

Answer

$0 \le x \le 10$

Answer

$0 \le x \le 8$

Question 43

The graph of $g(x) = x^2$ was transformed to create the graph of $h(x)=-(\frac {x}{4})^2$.  Which of these describes the transformation from the graph of $g$ to the graph of $h$?

Accepted Answer

A reflection over the $x$-axis and a horizontal stretch

Answer

A reflection over the $y$-axis and a horizontal stretch

Answer

A reflection over the $x$-axis and a vertical stretch

Answer

A reflection over the $y$-axis and a vertical stretch

Question 44

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 45

A graph of a quadratic function is shown on the grid.
Which coordinates best represent the vertex of the graph?

Accepted Answer

$(1, -2)$

Answer

$(-0.4, 0)$

Answer

$(2.4, 0)$

Answer

$(0,-1)$

Question 46

What is the slope of the line that passes through the points $(5, -11)$ and $(-9, 17)$?

Accepted Answer

$-2$

Answer

$7$

Answer

$2$

Answer

$-\frac{1} {2}$

Question 47

What is the $x$-value of the solution to this system of equations?
$x=2y-4$
$7x+5y=-66$

Accepted Answer

$-8$

Answer

$-2$

Answer

$-\frac {62}{19}$

Answer

$-\frac {19}{7}$

Question 48

Which expression is equivalent to $\sqrt96$?

Accepted Answer

$4\sqrt6$

Answer

$24$

Answer

$8\sqrt6$

Answer

$48$

Question 49

Which line appears to have an $x$-intercept of $-5$ and a $y$-intercept of $3$?

Accepted Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/09602092-15d6-6a91-727e-d0a4dae2869a.png

Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/85798340-0eb1-b55e-49a9-3deedb2c678f.png

Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/885b74b2-f4dc-9cb3-4c50-f10e39c76ea5.png

Answer

https://uploads.quizalize.com/3e7558ee-69bf-2439-e8ce-28216c6b5df9/question/513c3174-b1d9-d684-e39b-93e275cd31e7.png

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