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7th Grade Expressions

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.

Which expression below represents a factorization of  24d + 40dc24d\ +\ 40dc 

a)

 8(3d+5c)8\left(3d+5c\right)  

b)

 8d(3+5c)8d\left(3+5c\right)  

c)

 8(3+5)cd8\left(3+5\right)cd  

d)

 8c(3+5d)8c\left(3+5d\right)  

2.

Which expression is equivalent to 5a + 4 - 2a - 9?

a)

3a + 5

b)

7a + 5

c)

3a - 5

d)

7a + 5

3.

A company produced 24.1 tons of paper towels in 2015. The company's paper towel production increase by 7.9% from 2015 to 2016, and by 5.2% from 2016 to 2017. Which expression below represents a for estimating the total production of paper towel, in tons, in 2017?

a)

24(1.08)(1.05)

b)

24 + 8 + 5

c)

20(8)(5)

d)

20 + 1.08 + 1.05

4.

Which expression is equivalent to d +d 0.16dd\ +d\ -0.16d  ?

a)

1.16d

b)

1.84d

c)

d - 0.16

d)

2d - 0.84

5.

Which expression is equivalent to 14(8x+20)6-\frac{1}{4}\left(8x+20\right)-6 ?

a)

 2x1-2x-1  

b)

 2x+112x+11  

c)

 2x+11-2x+11  

d)

 2x11-2x-11  

6.

At a store, a cap has a regular price of x dollars. During a sale, the price of the cap is discounted 24%. The expression 0.76x describes the discounted price, in dollars, of the cap. Which expression also describes the discounted price, in dollars, of the cap?

a)

0.24x

b)

x - 24

c)

x - 0.24x

d)

x - 0.24

7.

Which expression represents the difference of (3x+8y)\left(3x+8y\right) and  (xy)\left(x-y\right) 

a)

 2x + 9y2x\ +\ 9y  

b)

 4x + 7y4x\ +\ 7y  

c)

 2x + 7y2x\ +\ 7y  

d)

 4x + 9y4x\ +\ 9y  

8.

Angelica bought a used laptop for y dollars. One year later the value of the laptop was 0.64y. Which expression is another way to describe the change in the value of the laptop?

a)

0.36% decrease

b)

0.64% decrease

c)

36% decrease

d)

64% decrease

9.

Which expression is equivalent to (5x+6)+(2x9)\left(-5x+6\right)+\left(2x-9\right) 

a)

 3(x+1)3\left(x+1\right)  

b)

 3(x+1)-3\left(x+1\right)  

c)

 3(x1)-3\left(x-1\right)  

d)

 3(x1)3\left(x-1\right)  

10.

Chris drew a rectangle that was ww inches wide. He then drew a second proportional rectangle to the first. The expression 3(2w)+3(w)3\left(2w\right)+3\left(w\right) represents the perimeter of the second rectangle Chris drew. Which statement relates the perimeter of the 2nd rectangle to the perimeter of the first rectangle? 

a)

The perimeter is 3 times larger. 

b)

The perimeter is 6 times larger. 

c)

The perimeter is 9 times larger.

d)

The perimeter is 3 inches larger.