Question 1

Which expression is equivalent to $(100m^4n^{18})^\frac{1}{2}$ for all positive values of $m$ and $n$?

Accepted Answer

$10m^2n^9$

Answer

$50m^2n^9$

Answer

$10m^8n^{36}$

Answer

$200m^2n^9$

Question 2

Which graph best represents the solution set of $-2x<9y-20$?

Accepted Answer

https://uploads.quizalize.com/46078d90-541f-4db7-8206-9a5525a74d08/question/b8d95cd73a457a1b96787de5c4b8e34e58953edf.PNG

Answer

https://uploads.quizalize.com/46078d90-541f-4db7-8206-9a5525a74d08/question/07ddec85c499acceb72e93ab0fd74c8dda96d283.PNG

Answer

https://uploads.quizalize.com/46078d90-541f-4db7-8206-9a5525a74d08/question/e8a986b8bbf04aac2b80026e02aacf9460aef5a7.PNG

Answer

https://uploads.quizalize.com/46078d90-541f-4db7-8206-9a5525a74d08/question/74aa24d999ca773aa5dd828455fc19244fc8a6e7.PNG

Question 3

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

Accepted Answer

https://uploads.quizalize.com/46078d90-541f-4db7-8206-9a5525a74d08/question/4897727b9cd742624075ff17715518139d33135c.PNG

Answer

https://uploads.quizalize.com/46078d90-541f-4db7-8206-9a5525a74d08/question/b9aef0111b589b8f87cf32b29a284e72ae572b8b.PNG

Answer

https://uploads.quizalize.com/46078d90-541f-4db7-8206-9a5525a74d08/question/2aac2ab9996772de8866b055e3fa68f2cf099f13.PNG

Answer

https://uploads.quizalize.com/46078d90-541f-4db7-8206-9a5525a74d08/question/037f30a45c23fcd798b83d4b767e11252331c330.PNG

Question 4

The area of a rectangular tarp cover is $384 ft^2$.  The length of the tarp is $8 ft$ greater than the width of the tarp.  This situation can be represented by the equation $w^2+8w-384=0$.  What is the length of the tarp in feet?

Accepted Answer

$24 ft$

Answer

$16 ft$

Answer

$18 ft$

Answer

$22 ft$

Question 5

Which expression is equivalent to $\frac{6a^8c^{12}}{3c^{-4}}$ * $\frac{5(a^4)^2}{c^7}$ for all values of $a$ and $c$ where the expression is defined?

Accepted Answer

$10a^{16}c^9$

Answer

$10a^{24}c$

Answer

$50a^{14}c$

Answer

$\frac{50a^{16}}{c^{15}}$

Question 6

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

Accepted Answer

https://uploads.quizalize.com/46078d90-541f-4db7-8206-9a5525a74d08/question/69122632537f74cf3e4f77cd969ff9ada9372c57.PNG

Answer

https://uploads.quizalize.com/46078d90-541f-4db7-8206-9a5525a74d08/question/2fb3057a2b540e0e4aac591783aeb3573a029a8b.PNG

Answer

https://uploads.quizalize.com/46078d90-541f-4db7-8206-9a5525a74d08/question/1de9c2b59a695acf647fd52fc91cc4341ed85173.PNG

Answer

https://uploads.quizalize.com/46078d90-541f-4db7-8206-9a5525a74d08/question/4750d2e1f8c7f2a49d7df4918d3165a10a9b24f9.PNG

Question 7

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

Accepted Answer

$y=-16x^2+81x-25$

Answer

$y=-16x^2+81x-5$

Answer

$y=-16x^2+81x+15$

Answer

$y=-16x^2+81x$

Question 8

What are the solutions to $(x-16)^2=36$?

Accepted Answer

10 and 22

Answer

20 and 52

Answer

-6 and 6

Answer

-52 and 52

Question 9

The graph of quadratic function $f$ is shown on the grid.   If $k(x)=x^2$ and $r(x)=k(x)+n$, what is the value of $n$?

Accepted Answer

4

Question 10

Two teacher went to a fast food restaurant to buy hamburgers and cheeseburgers for their class parties.  Each hamburger costs the same amount, and each cheeseburger costs the same amount.

The first teacher paid $118.90 for 15 hamburgers and 7 cheeseburgers. 
The second friend paid $150.25 for 13 hamburgers and 14 cheeseburgers.

What was the cost in dollars of a cheeseburger?

Accepted Answer

$5.95

Answer

$4.95

Answer

$5.25

Answer

$5.15

Question 11

Which function is equivalent to $f(x)=-3(x-5)^2-12$?

Accepted Answer

$f(x)=-3x^2+30x-87$

Answer

$f(x)=9x^2+90x+213$

Answer

$f(x)=9x^2+30x+13$

Answer

$f(x)=-3x^2-87$

Question 12

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

Accepted Answer

$(3,4)$

Answer

$(1,5)$

Answer

$(-5,0)$

Answer

$(0,-5)$

Question 13

What appears to be the range of the part of the exponential function graphed on the grid.

Accepted Answer

$10\le y <36$

Answer

$-2\le y<7$

Answer

$-2\le x<7$

Answer

$10<x\le 36$

Question 14

Which expression is a factor of $9x^2-49x-30$?

Accepted Answer

$9x+5$

Answer

$x+6$

Answer

$x-5$

Answer

$9x-5$

Question 15

A zookeeper recorded the growth for a baby elephant for 60 days.  The table and scatterplot show the percentage of the baby elephant's body mass that was used to determine the amount of vitamins given at each feeding as a linear function of its age in days.

What is the best prediction of the percentage of the baby elephant's body mass that should be used to determine the amount of vitamins given when it is 70 weeks old?

Accepted Answer

16%

Answer

23%

Answer

11%

Question 16

Which expression is equivalent to $\frac{(w^5)^{-4}}{w^{-21}}$ for all values of $w$ where the expression is defined?

Accepted Answer

$w$

Answer

$w^{41}$

Answer

$\frac{1}{w}$

Answer

$\frac{1}{w^{41}}$

Question 17

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

Accepted Answer

$x=-7$; slope is undefined

Answer

$x=-7$; slope is zero

Answer

$y=-7$; slope is zero

Answer

$y=-7$; slope is undefined

Question 18

Which situation does NOT show causation?

Accepted Answer

When the number of hours a student studies for an exam increases, the number of students taking the exam increases.

Answer

When an hourly worker decreases the total number of hours worked, the worker's income decreases.

Answer

When the number of minutes a person exercises increases, the number of calories burned increases.

Answer

When there are more homework problems assigned to a student,  the amount of time spent to complete the homework increases.

Question 19

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

Accepted Answer

All real numbers

Answer

All real numbers less than or equal to 3

Answer

$y\le 3$

Answer

$-5.5\le x \le 1.5$

Question 20

Which expression is equivalent to $-27x^2+12x$?`

Accepted Answer

$-3x(9x-4x)$

Answer

$-3x(-9x-4)$

Answer

$-3x(9x+4)$

Answer

$3(9x-4x)$

Question 21

The snowfall in Denver, Colorado was measured each hour for 12-hour period.  The graph models the linear relationship between the depth of snow in centimeters and the number of hours the snowfall was measured.

Which statement best describes the y-intercept of the graph?

Accepted Answer

The initial snow depth was 1 cm.

Answer

The maximum snow depth was 9 cm.

Answer

The snow depth was measured for 12 hours.

Answer

The snow depth increased by 0.6 cm per hour.

Question 22

Which expression is equivalent to $x^2-8x-48$?

Accepted Answer

$(x-12)(x+4)$

Answer

$(x-3)(x+16)$

Answer

$(x-4)(x+12)$

Answer

$(x-4)(x+12)$

Question 23

Given $f(x)=\frac{1}{5}(3-x)^2$,  what is the value of $f(-32)$?

Accepted Answer

245

Question 24

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

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

Answer

$g(x)=\frac{1}{2}f(x)$

Answer

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

Answer

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

Question 25

There are 4,325 players in a chess 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

$f(x)=4,325(0.50)^x$

Answer

$f(x)=4,325(1.50)^x$

Answer

$f(x)=4,325(0.05)^x$

Answer

$f(x)=4,325(1.05)^x$

Question 26

In a sequence of numbers, $a_1=-6, a_3=4, a_5=14, a_6=19,$ 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

$a_n=5x-11$

Answer

$a_n=-4x-5$

Answer

$a_n=4x-5$

Answer

$a_n=-5x-4$

Question 27

What is the range of $y=x^2-6x+4$?

Accepted Answer

$y\ge-5$

Answer

$x\ge-5$

Answer

$y\le-5$

Answer

$x\le-5$

Related quizzes

Related quizzes