Expressions and Equations Unit Test

Consider this expression: 6x+24. Which of the following are equivalent to the expression? Select the three equivalent expressions.

• 6(x+4)

• 6(x+24)

• 3(8+2x)

• 3x+3+20+4x

• 4x+12+2x+12

• the product of a number n and 8

• the quotient of a number n and 8

• the difference between a number n and 8

• the quotient of 8 and a number n

What is the value of the expression below when b = 3? 7b - 4

• 6

• 17

• 24

• 69

Lisa decides to make a dollhouse. She plans for the width to be 4 feet and the length to be 5 feet. She would like to add to the length. The amount she wants to add to the length is shown by the variable a. Which of the following expressions does not represent the area model above?

• (4 • a) + (4 • 5)

• 4a +5

• 4a + 20

• 4(a + 5)

The table shows Sandra's weekly earnings, y , based on the number of hours she works. Which equation can Sandra use to calculate her weekly earnings when she works x hours?

• y = 8x

• y = 5x + 40

• y = 10x

• y = 10x + 80

The table shows Sandra's weekly earnings, y , based on the number of hours she works. Which equation can Sandra use to calculate her weekly earnings when she works x hours?

​ (a)  

• y = 8x

• y = 5x + 40

• y = 10x

• y = 10x + 80

The equation for the table below is y=2x+5, fill in the missing values.

c

d

e

f

7

0

3

4

-1

9

Rectangle R, made up of four smaller rectangles, is shown in the diagram. Match each description to the algebraic expression that represents the information. Length of long side Rectangle R ​ (a)   Total area of Rectangle A and Rectangle B ​ (b)   The area of Rectangle R ​ (c)  

Rectangle R, made up of four smaller rectangles, is shown in the diagram. Match each description to the algebraic expression that represents the information. Length of long side Rectangle R ​ (a)   Total area of Rectangle A and Rectangle B ​ (b)   The area of Rectangle R ​ (c)  

Jeannie has a goal to run a total of 800 laps around her school’s track this year. She plans to run exactly 4 laps each day. Which of the following expressions represents the total number of laps Jeanie will have left to run after d days?

• 800 - 4d

• 800d - 4

• 4d - 800

• 4 - 800d