Question 1

The scatter plot below shows the relationship between the number of members in a family and the amount of the family's weekly grocery bill.
The most appropriate prediction of the grocery bill for a family that consists of six members is

Accepted Answer

$300

Answer

$500

Answer

$400

Answer

$100

Question 2

The function $g(x)$  is defined as $g(x)=-2x^2+3x.$ The value of  $g(-3)$ is

Accepted Answer

$-27$

Answer

$-9$

Answer

$27$

Answer

$45$

Question 3

Which expression results in a rational number?

Accepted Answer

$\sqrt36 \div\sqrt225$

Answer

$\sqrt25 \bullet\sqrt50$

Answer

$3\sqrt5  + 2\sqrt5$

Answer

$\sqrt121-\sqrt21$

Question 4

The math department needs to buy new textbooks and laptops for the computer science classroom. The textbooks cost $$$116.00$$ each, and the laptops cost $$$439.00$$ each. If the math department has $$$6500$$ to spend and purchases 30 textbooks, how many laptops can they buy?

Accepted Answer

6

Answer

12

Answer

7

Answer

11

Question 5

What is the solution to the equation $\frac{3}5 (x+ \frac{4}3)=1.04?$

Accepted Answer

$0.4$

Answer

$3.0\overline6$

Answer

$-0.4\overline8$

Answer

$-0.709\overline3$

Question 6

The area of a rectangle is represented by $3x^2-10x-8.$ Which expression can also be used to represent the area of the same rectangle?

Accepted Answer

$(3x+2)(x-4)$

Answer

$(3x+4)(x-2)$

Answer

$(3x+2)(x+4)$

Answer

$(3x-4)(x+2)$

Question 7

Which relation does $not$ represent a function?

Accepted Answer

https://uploads.quizalize.com/1f57f2dc-a19b-8c37-4e1c-8713bdbfe409/question/558b51cf-178f-ea23-1180-afefc2897e27.png

Answer

https://uploads.quizalize.com/1f57f2dc-a19b-8c37-4e1c-8713bdbfe409/question/f31999cd-ec4c-545f-6f89-38ed059999e2.png

Answer

https://uploads.quizalize.com/1f57f2dc-a19b-8c37-4e1c-8713bdbfe409/question/b84cd1ca-2677-01ce-93d4-13fbd8d299bc.png

Answer

https://uploads.quizalize.com/1f57f2dc-a19b-8c37-4e1c-8713bdbfe409/question/95672f94-6e42-047d-32c2-c6fe7c88dc06.png

Question 8

Britney is solving a quadratic equation. Her first step is shown below.
Problem: $3x^2-8-10x=3(2x+3)$
Step 1: $3x^2-10x-8=6x+9$
Which two properties did Britney use to get to step 1?
I. addition property of equality
II. commutative property of addition
III. multiplication property of equality
IV. distributive property of multiplication over addition

Accepted Answer

II and IV

Answer

I and III

Answer

I and IV

Answer

II and III

Question 9

The graph of $y=\frac1{2}x^2-x-4$  is shown below. The points $A(-2,0), B(0,-4),$ and $C(4,0)$ lie on this graph.
Which of these points can determine the zeros of the equation $y=\frac1{2}x^2-x-4?$

Accepted Answer

A and C, only

Answer

A, only

Answer

A, B, and C

Answer

B, only

Question 10

Given the parent function $f(x)=x^3,$ the function $g(x)=(x-1)^3-2$ is the result of a shift of $f(x)$

Accepted Answer

1 unit right and 2 units down

Answer

1 unit left and 2 units up

Answer

1 unit left and 2 units down

Answer

1 unit right and 2 units up

Question 11

If $C=2a^2-5$ and $D=3-a,$ then $C-2D$ equals

Accepted Answer

$2a^2+2a-11$

Answer

$2a^2+a-8$

Answer

$2a^2-a-8$

Answer

$2a^2-a-11$

Question 12

Which function can be used to determine the value of the laptop for $x$ years after the purchase?

Accepted Answer

$f(x)=1250(0.8)^x$

Answer

$f(x)=1250(1.2)^x$

Answer

$f(x)=1000(0.8)^x$

Answer

$f(x)=1000(1.2)^x$

Question 13

The height of a ball Doreen tossed into the air can be modeled by the function $h(x)=-4.9x^2+6x+5,$ where $x$   is the time elapsed in seconds, and $h(x)$ is the height in meters. The number 5 in the function represents

Accepted Answer

the initial height of the ball

Answer

the maximum height the ball attained when thrown in the air

Answer

the time at which the ball was at its highest point

Answer

the time at which the ball reaches the ground

Question 14

The function $f(x)=2x^2+6x-12$ has a domain consisting of the integers from $-2$ to $1$ inclusive. Which set represents the corresponding range values for $f(x)?$

Accepted Answer

\left\{-16,-12,-4\right\}

Answer

$\left\{-32,-20,-12,-4\right\}$

Answer

$\left\{-32,-20,-12,-4\right\}$

Answer

$\left\{-32,-20,-12,-4\right\}$

Question 15

Which equation has the same solution as $x^2+8x-33=0?$

Accepted Answer

$(x+4)^2=49$

Answer

$(x-4)^2=49$

Answer

$(x+4)^2=17$

Answer

$(x-4)^2=17$

Question 16

Assume the pumpkins continue to grow at these rates through week 13. When comparing the weights of both Liam's and Patricia's pumpkins in week 10 and week 13, which statement is true?

Accepted Answer

Liam's pumpkin will weigh more in week 10, and Patricia's pumpkin will weigh more in week 13.

Answer

Patricia's pumpkin will weigh more in week 10 and week 13.

Answer

Patricia's pumpkin will weigh more in week 10, and Liam's pumpkin will weigh more in week 13.

Answer

Liam's pumpkin will weigh more in week 10 and week 13

Question 17

The function $f(x)$ is graphed below.
The domain of this function is

Accepted Answer

$x\ge-1$

Answer

all positive integers

Answer

$x\ge0$

Answer

all positive real numbers

Question 18

Which pair of equations would have $(-1,2)$ as a solution?

Accepted Answer

$y=x^2-3x-2$ and $y=4x+6$

Answer

$y=x-1$ and $y=2x$

Answer

$2x+3y=-4$ and $y=-\frac{1}2x-\frac{3}2$

Answer

$y=x+3$ and $y=2^x$

Question 19

Which function could be used to represent the sequence 8, 20, 50, 125, 312.5,..., given that $a_1=8$

Accepted Answer

$a_n=2.5(a_n-1)$

Answer

$a_n=a_1+1.5(a_n-1)$

Answer

$a_n=a_n-1+a_1$

Answer

$a_n=(a_1)(a_n-1)$

Question 20

The formula for electrical power, $P$, is $P=I^2R,$  where $I$ is current and $R$ is resistance. The formula for $I$ in terms of $P$ and $R$ is

Accepted Answer

$I=\sqrt \frac{P}R$

Answer

$I=(P-R)^2$

Answer

$I=(\frac{P}R)^2$

Answer

$I=\sqrt {P-R}$

Question 21

The functions $f(x),q(x),$ and $p(x)$ are shown below.

When the input is 4, which functions have the same output value?

Accepted Answer

$f(x)$, $q(x)$, and $p(x)$

Answer

$f(x)$ and $p(x)$, only

Answer

$q(x)$ and $p(x)$, only

Answer

$f(x)$ and $q(x)$, only

Question 22

Using the substitution method, Vito is solving the following system of equations algebraically:

$y+3x=-4$
$2x-3y=-21$

Which equivalent equation could Vito use?

Accepted Answer

$2x-3(-3x-4)=-21$

Answer

$2x-3(3x-4)=-21$

Answer

$2(-3x-4)+3x=-21$

Answer

$2(3x-4)+3x=-21$

Question 23

Materials $A$ and $B$ decay over time. The function for the amount of material $A$ is $A(t)=1000(0.5)^{2t}$ and for the amount of material  $B$ is $B(t)=1000(0.25)^t$, where $t$ represents time in days. On which day will the amounts of material be equal?

Accepted Answer

every day

Answer

day 5, only

Answer

day 2, only

Answer

initial day, only

Question 24

The following conversion was done correctly:

$\frac{3 miles}{1 hour} \bullet \frac{1 hour}{60 minutes} \bullet \frac{5280 feet}{1 mile} \bullet \frac{12 inches}{1 foot}$

What were the final units for this conversion?

Accepted Answer

inches per minute

Answer

minutes per inch

Answer

minutes per foot

Answer

feet per minute

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