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Equivalent Expressions Using Distributive Property and Like Terms

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Use the Distributive Property to write an expression equivalent to:

9(x + 7)

a)

9x + 7

b)

9x + 63

c)

72x

d)

x + 63

2.

Write an equivalent expression using the Distributive Property:

5(2x - 11)

a)

10x - 11

b)

10x - 55

c)

7x - 16

d)

10x + 55

3.

Which of the following expressions is equivalent to: 10x + 70 ?

a)

2(5x + 70)

b)

5(2x + 70)

c)

7(2x + 10)

d)

10(x + 7)

4.

Which of the following expressions is equivalent to:

24 - 18x ?

a)

6(4 - 3x)

b)

6(4 - 18x)

c)

3(6 - 6x)

d)

3(8x - 6)

5.

There are three answer choices that have expressions that are equivalent. Which one DOES NOT have expressions that are equivalent?

a)

2x + 8 and 2(x + 4)

b)

y + y + y + y and 4y

c)

16y + 8 and 8(2y + y)

d)

3b - 2b + 5 and b + 5

6.

When simplifying an expression, what is the name of the property that we use when multiplying a number on the outside of the parentheses by everything inside the parentheses?

a)

Multiplication

b)

Factoring

c)

Distribution

d)

Combining Like Terms

7.

Use the Distributive Property to solve 5 (x+2) = ?

a)

(5+x)+(5+2)

b)

5x+7

c)

5x+10

d)

12

8.

Use the distributive property to find an equivalent expression: 5(2f + 4)

a)

10f + 4

b)

10f + 9

c)

10f + 20

d)

30f

9.

Use the distributive property to simplify the expression


4(-8 + 4)

a)

20

b)

-36

c)

-48

d)

-16

10.

Which of the following is equivalent to 5(2x+6)5\left(2x+6\right)  ?

a)

10x + 30

b)

10x + 6

c)

40x

d)

2x + 30

11.

Use the distributive property to write an equivalent expression.
-9(2g-3)

(a)  

12.

Factor the expression.

8x10-8x-10  

Do not enter spaces in your answer.

(a)  

13.

Use the distributive property to expand the expression.
-2\left(-2b+6\right)

a)

-4b - 12

b)

-4b + 12

c)

4b - 12

d)

4b + 12

14.

Choose ALL of the expressions that are equivalent to

a)

-8m + 12

b)

-8m - 12

c)

-4(2m) - 4(3) 

d)

-12 - 8m

e)

4(-2m - 3)

15.

Expand the expression using the distributive property.

4(2h+3)-4\left(2h+3\right)  

a)

8h12-8h-12  

b)

8h3-8h-3  

c)

8h+3-8h+3  

d)

8h+12-8h+12