Question 1

The table below shows information about the total weekly costs to display advertisements on a website and in a newspaper.

Based on the information shown in the table, which expression can be used to determine the weekly cost, in dollars, of $m$ website and $p$ newspaper advertisements?

Accepted Answer

$135m + 220p$

Answer

$355 + m + p$

Answer

$355mp$

Answer

$220m + 135p$

Question 2

An algebraic expression is described below.

$\qquad$two less than the product of $x$ and four

The expression is set equal to $10$ to create an equation. What value could replace $x$ in the expression and make the resulting equation true?

Accepted Answer

$3$

Answer

$38$

Answer

$8$

Answer

$48$

Question 3

Maria works in a library. She records the number of people in the library each hour during the day. She makes a graph in which she uses the number of people as the independent variable.
What could be the dependent variable in Maria's graph?

Accepted Answer

the number of books checked out each hour

Answer

the temperature outside the library

Answer

the amount the library charges per day for late books

Answer

the amount of money Maria earns each hour for working at the library

Question 4

Kent thinks that $x + x$ and $x^2$ are equivalent expressions because they each have a value of $4$ when $x = 2$. Which statement BEST demonstrates whether Kent is correct?

Accepted Answer

Kent is NOT correct because the two expressions do not have the same value at $x = 1$.

Answer

Kent is correct because $x + x$ is the same as $2x$, and $2x$ is the same as $x^2$.

Answer

Kent is correct because the two expressions are also equivalent when $x = 0$.

Answer

Kent is NOT correct because expressions can never be equivalent if they use different operations.

Question 5

Alex and Payton each have a favorite pancake recipe.

$\quad\bullet\enspace$ Alex's recipe uses $7\frac{1}{2}$ cups of flour for $5$ batches.
$\quad\bullet\enspace$ Payton's recipe uses $\frac{3}{4}$ cup of flour more per batch than Alex's recipe uses per batch.

Which expression can be used to determine the number of cups of flour used to make $x$ batches of Payton's pancake recipe?

Accepted Answer

$2\frac{1}{4}x$

Answer

$1\frac{1}{2}x+\frac{3}{4}$

Answer

$7\frac{1}{2}x+\frac{3}{4}$

Answer

$8\frac{1}{4}x$

Question 6

Jenae goes to the store to buy a jacket. The store is having a sale for $30\%$ off the original price of the jackets. Jenae also has a $$\$10$$-off coupon she will use to buy the jacket. The expression below can be used to find her final price for a jacket with an original price of $p$ dollars.

$\quad0.7p -10$

The jacket Jenae decides to buy has an original price of $p$ = $$\$87.99$$. What is the final price of the jacket Jenae is buying?

Accepted Answer

$51.59

Answer

$71.59

Answer

$54.59

Answer

$84.99

Question 7

Each weekday, a factory produces $16$ truckloads of canned corn and $12$ truckloads of canned peas. The expression $5(16 + 12)$ represents the total number of cans produced each week by the factory. Which expression also represents the total number of cans produced each week by the factory?

Accepted Answer

$80 + 60$

Answer

$21 + 12$

Answer

$80 + 12$

Answer

$21 + 17$

Question 8

Mrs. Seager's daughter is y years old. Mrs. Seager's age, in years, can be represented by the expression $6y - 4$. Which expression also represents Mrs. Seager's age, in years?

Accepted Answer

$2(3y - 2)$

Answer

@3(2y - 4)$

Answer

$2(3y - 4)$

Answer

$3(2y - 1)$

Question 9

Which expression uses exactly three terms and is equivalent to $6(2 + x + x + y)$?

Accepted Answer

$12 + 12x + 6y$

Answer

$8 + 8x + 7y$

Answer

$8 + 6x + 6x + 6y$

Answer

$12 + 6x + 6x + 6y$

Question 10

Mr. Aarav paid a total of $$\$588$$ to stay in a hotel and park his car for $3$ nights. Each night, the hotel charged Mr. Aarav h dollars for a room and $$\$15$$ for parking. The equation shown below represents the total amount, in dollars, Mr. Aarav paid for the $3$ nights.

$\quad 3(h + 15) = 588$

How much was Mr. Aarav charged for the room for $1$ night?

Accepted Answer

$181

Answer

$211

Answer

$191

Answer

$201

Question 11

Michael has $$\$68$$. Craig has $$\$24$$ less than Michael has. Michael spends $$\$20$$ on a new hat.
The solution of which equation represents the amount of money $(x)$, in dollars, Craig has after Michael buys the hat?

Accepted Answer

$x + 4 = 48$

Answer

$x + 20 = 44$

Answer

$x + 4 = 68$

Answer

$x + 24 = 48$

Question 12

Sergei knows the bicycle he wants to buy will cost more than $$\$84.00$$. He has already saved $$\$26.75$$ for the bicycle. His aunt has given him $$\$20.00$$ to use to buy the bicycle. Which inequality describes all of the additional amounts of money $(m)$, in dollars, that Sergei could save to be able to buy the bicycle?

Accepted Answer

$m > 37.25$

Answer

$m > 84.00$

Answer

$m > 46.75$

Answer

$m > 57.25$

Question 13

A relationship is described below.

For every 6 inches of border used around a bulletin board, 2 pushpins are used.

Which statement about the dependent variable in the relationship is true?

Accepted Answer

The number of pushpins used is the dependent variable because it is determined by the length of border used.

Answer

The number of pushpins used is the dependent variable because it is not determined by the length of border used.

Answer

The length of border used is the dependent variable because it is determined by the number of pushpins used.

Answer

The length of border used is the dependent variable because it is not determined by the number of pushpins used.

Question 14

Carlos makes wooden boxes without tops to use as flower planters. Each wooden box has a width of $14$ inches and a height of $24$ inches. The length of the box $(x)$ varies depending on the types of flowers Carlos will plant. A picture of a wooden box is shown below.

Which equation can be used to find the surface area $( y)$, in square inches, of a wooden box that has a length of $x$ inches?

Accepted Answer

$y = 672 + 62x$

Answer

$y = 336x$

Answer

$y = 38 + x$

Answer

$y = 672 + 76x$

Question 15

The table below shows the relationship between the number of buses used on a field trip and the maximum number of riders.

Which equation describes the relationship shown in the table?

Accepted Answer

$r = 40b$

Answer

$r = b + 40$

Answer

$r = 117b$

Answer

$r = 3b + 120$

Question 16

The temperature in Dylan's freezer, in degrees Fahrenheit $(^\circ	ext F)$, over several hours in an afternoon is shown in the graph below.

Which equation can be used to determine the temperature, in degrees Fahrenheit, of Dylan's freezer?

Accepted Answer

$y = 4$

Answer

$x = 4$

Answer

$x = y + 4$

Answer

$y = x + 4$

Question 17

Neelah received a package in the shape of a rectangular prism as shown below.

The volume of the package is $748$ cubic inches. The equation $4 	imes 11 	imes h = 748$ can be used to find the height $(h)$, in inches, of the package. What is the surface area, in square inches, of Neelah's package?

Accepted Answer

$598$

Answer

$299$

Answer

$418$

Answer

$510$

Question 18

An inequality is shown below.
$\quad x + 2.5 < 20$
What is the GREATEST value of x from the set $(10.5, 12.5, 17.5, 19.5)$ that makes the inequality true?

Accepted Answer

$12.5$

Answer

$17.5$

Answer

$10.5$

Answer

$19.5$

Question 19

There are $150$ children playing in a park.

$\quad\bullet$ The number of boys $(x)$ playing in the park is GREATER than $50$.
$\quad\bullet$ of girls $(y)$ playing in the park is LESS than $100$.

Which values of $x$ and $y$ could be the numbers of boys and girls playing in the park?

Accepted Answer

$x = 60$
$y = 90$

Answer

$x = 55$
$y = 85$

Answer

$x = 35$
$y = 115$

Answer

$x = 50$
$y = 100$

Question 20

Gary saves $$\$2.50$$ each day. Which equation describes the relationship between the number of days $(d)$ Gary saves money and the total amount of money $(m)$, in dollars, that he saves?

Accepted Answer

$m = 2.50d$

Answer

$d = 2.50m$

Answer

$d = \frac{2.50}{m}$

Answer

$m = d - 2.50$

Question 21

Which expression has the LEAST value?

Accepted Answer

$25-4^2$

Answer

$4^3$

Answer

$4^4-160$

Answer

$4^1+12$

Question 22

An algebraic expression is described below.
          six more than the product of four times the difference between $x$ and 3
What is the value of the expression when $x = 8$?

Accepted Answer

26

Answer

50

Answer

35

Answer

14

Question 23

Marty read $x$ books. Jackie read 28 books, which is 6 books more than the number of books Marty read. The equation below can be used to find the number of books Marty read.
$x + 6 = 28$
Ron read 3 times as many books as Marty. How many books did Ron read?

Accepted Answer

66

Answer

78

Answer

34

Answer

22

Question 24

A gray whale swims 161 kilometers in 24 hours. The equation below can be used to find the rate $(r)$, in kilometers per hour (kph), at which the gray whale swims.
$r 	imes 24 = 161$
Rounded to the nearest tenth, what is the rate at which the gray whale swims?

Accepted Answer

6.7 kph

Answer

3.8 kph

Answer

3.9 kph

Answer

6.8 kph

Question 25

The table below shows the relationship between the number of tables and the number of chairs in each of three meeting rooms of an office building.
Which equation describes the relationship between the number of tables and the number of chairs in each meeting room?

Accepted Answer

$c=8t$

Answer

$c=21t$

Answer

$c=3t$

Answer

$c=24t$

Question 26

Kelly rides the bus to work $d$ days each month. She pays a fare of $$\$2.25$$ each time. On $t$ of those days, she pays an additional fare of $$\$0.75$$ to transfer onto another bus. The expression shown can be used to find her total cost for bus fare for the month.
$d 	imes 2.25 + t 	imes 0.75$
Which statement explains how to find Kelly's total bus fare for the month?

Accepted Answer

First find the product of $d$ and $$\$2.25$$ and the product of $t$ and $$\$0.75$$. Then find the sum of the products.

Answer

First find the product of $d$ and $$\$2.25$$ and the sum of $t$ and $$\$0.75$$. Then find the product of the product and the sum.

Answer

First find the product of $d$ and $$\$2.25$$ and the sum of $t$ and $$\$0.75$$. Then find the sum of the product and the sum.

Answer

First find the sum of $d$ and $$\$2.25$$ and the sum of $t$ and $$\$0.75$$. Then find the product of the sums.

Question 27

A group of students found a relationship between their thighbone lengths and their heights. The table below can be used to find the approximate height, in centimeters, of a student based on the student's thighbone length, in centimeters.
Based on the table, which statement describes the relationship?

Accepted Answer

Multiplying the thighbone length by 2.6 and then adding 65 centimeters will result in the approximate height.

Answer

Multiplying the approximate height by 2.6 and then adding 65 centimeters will result in the thighbone length.

Answer

Subtracting the approximate height from 65 centimeters will result in the thighbone length.

Answer

Adding 65 centimeters to the thighbone length will result in the approximate height.

Related quizzes

Related quizzes