Question 1

When factored, the expression $x^3-36x$ is equivalent to

Accepted Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Question 2

Which equation represents the line that passes through the points $x^3-36x$ and $\left(4,-2\right)$ ?

Accepted Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Question 3

A geometric sequence is shown below.

$\frac{1}{2},\ 2,\ 8,\ 32,\ ...$

What is the common ratio?

Accepted Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Question 4

What is the constant term of the polynomial $x^3-36x$ ?

Accepted Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Question 5

A landscaping company charges a set fee for a spring cleanup, plus an hourly labor rate. The total cost is modeled by the function $x^3-36x$ . In this function, what does the $\left(4,-2\right)$ represent?

Accepted Answer

the hourly labor rate for a cleanup

Answer

the number of hours of labor required for one cleanup

Answer

the set fee for the cleanup

Answer

the profit earned by the company for one cleanup

Question 6

Which expression is equivalent to $x^3-36x$ ?

Accepted Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Question 7

A system of inequalities is graphed on the set of axes below.

Which point is a solution to this system?

Accepted Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Question 8

In an arithmetic sequence, the first term is $x^3-36x$ and the third term is $\left(4,-2\right)$ . What is the tenth term in this sequence?

Accepted Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Question 9

When the formula $x^3-36x$ is solved for $\left(4,-2\right)$ , the result is

Accepted Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Question 10

Market Street Pizza kept a record of pizza sales for the month of February. The results are shown in the table below.

Of all the pizzas sold in February, what percent were plain, deep-dish pizzas?

Accepted Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Question 11

When solving $x^3-36x$ for $\left(4,-2\right)$ , the solution is

Accepted Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Question 12

The expression $x^3-36x$ is equivalent to

Accepted Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Question 13

The inputs and outputs of a function are shown in the table below.

This function can best be described as

Accepted Answer

exponential

Answer

<P>quadratic</P>

Answer

absolute value

Answer

<P>linear</P>

Question 14

Stephanie is solving the equation $x^3-36x$ . Her first step is shown below.

Given: $\ x^2-12=7x-8$

Step 1: $x^2-4=7x$

Which property justifies her first step?

Accepted Answer

addition property of equality

Answer

commutative property

Answer

associative property

Answer

distributive property

Question 15

What is the sum of $x^3-36x$ and $\left(4,-2\right)$ ?

Accepted Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Question 16

The dot plots below represent test scores for $x^3-36x$ students on a math test.

The mode for this math test is $\ x^2-12=7x-8$ and the median is $85$ . Which dot plot correctly represents this data?

Accepted Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Question 17

A function is graphed on the set of axes below.

The domain of this function is

Accepted Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Question 18

Which ordered pair is a solution to the equation $x^3-36x$ ?

Accepted Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Question 19

Elena’s fastest time for the $x^3-36x$ -meter dash is $\left(4,-2\right)$ seconds. She wants to know how fast this is in inches per minute. Which expression can Elena use for a correct conversion?

Accepted Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Question 20

The table below shows the highest temperatures recorded in August for several years in one town.

The interquartile range of these data is

Accepted Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Question 21

The function $x^3-36x$ is multiplied by $\left(4,-2\right)$ , where $k<-1$ . Which graph could represent $x^2-4=7x$ ?

Accepted Answer

https://uploads.quizalize.com/4e9eb569-ae1c-4578-b277-32db56dae4c5/question/8302049a45bba649603c372b4a4720913beb493d.jpg

Answer

https://uploads.quizalize.com/4e9eb569-ae1c-4578-b277-32db56dae4c5/question/09b57f0083eb07a809ad4416e32ebc82bdb90612.jpg

Answer

https://uploads.quizalize.com/4e9eb569-ae1c-4578-b277-32db56dae4c5/question/c15fe70a23aa5891f83d1021edb7b298b1b73d6b.jpg

Answer

https://uploads.quizalize.com/4e9eb569-ae1c-4578-b277-32db56dae4c5/question/df0bdfe837e77662981654dad75c1513c61964d2.jpg

Question 22

Which graph is the solution to the inequality $x^3-36x$ ?

Accepted Answer

https://uploads.quizalize.com/4e9eb569-ae1c-4578-b277-32db56dae4c5/question/ce542ef96e15fdc4abe65da1eca369f07b92281a.jpg

Answer

https://uploads.quizalize.com/4e9eb569-ae1c-4578-b277-32db56dae4c5/question/c6c3e653d66775b0791e9fea74714843902df062.jpg

Answer

https://uploads.quizalize.com/4e9eb569-ae1c-4578-b277-32db56dae4c5/question/2e473cbe368363fac0a2644be138e868d34e3cc8.jpg

Answer

https://uploads.quizalize.com/4e9eb569-ae1c-4578-b277-32db56dae4c5/question/a298c32604d6afda65d5f3dcbab3f80132d5bcce.jpg

Question 23

The number of fish in a pond is eight more than the number of frogs. The total number of fish and frogs in the pond is at least $x^3-36x$ . If $\left(4,-2\right)$ represents the number of frogs, which inequality can be used to represent this situation?

Accepted Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Answer

$x\left(x+6\right)\left(x-6\right)$

Question 24

Which graph below represents a function that is always decreasing over the entire interval $\left(4,-2\right)$

Accepted Answer

https://uploads.quizalize.com/4e9eb569-ae1c-4578-b277-32db56dae4c5/question/b98d9dc76c730f1f086fec686c6ce03e276be914.jpg

Answer

https://uploads.quizalize.com/4e9eb569-ae1c-4578-b277-32db56dae4c5/question/d548074636d0e3f80cea5c2b7ce6897297944d6c.jpg

Answer

https://uploads.quizalize.com/4e9eb569-ae1c-4578-b277-32db56dae4c5/question/b770c880ae9f1fe1a89aaa27fa93df0271ba706f.jpg

Answer

https://uploads.quizalize.com/4e9eb569-ae1c-4578-b277-32db56dae4c5/question/52df326b75392e1750c5dd4ed633e4aa6fcf7982.jpg

Related quizzes

Related quizzes