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Worksheets

Simplifying Expressions Distributive Property

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Simplify the Expression: 10x - 3(2x + 8)

a)

4x - 24

b)

-4x + 24

c)

16x - 24

d)

14x - 6

2.

Simplify the Expression: -4(x + 6) + 2(x - 2)

a)

2x + 28

b)

6x - 20

c)

-2x - 28

d)

6x - 28

3.

9(2x + 2y)

a)

36xy

b)

18x + 18y

c)

18x + 18

d)

11x + 11y

4.

Simplify the expression:
  6−2(7x−3)6-2\left(7x-3\right)  

a)

-14x

b)

-14x + 12

c)

14x 

d)

5x +1

5.

Use the Distributive Property to rewrite the algebraic expression.


7(x + 4)

(a)  

6.

Use the Distributive Property to rewrite the algebraic expression.


6(x + 4)

(a)  

7.

Use the Distributive Property to rewrite the algebraic expression.


8( x + 9)

(a)  

8.

Use the Distributive Property to rewrite the algebraic expression.


3(x + 11)

(a)  

9.

Use the Distributive Property to rewrite the algebraic expression.


9(x + 6)

(a)  

10.

x + 5

a)

2x + 2

b)

4x + 8

c)

3x + 15

d)

3x + 5

11.

Which expression is equivalent to 3n + 9

a)

12n

b)

12 + n

c)

n + 27

d)

3(n + 3)

12.

Which of the following expressions is equivalent to: 5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

13.

Use the distributive property to simplify: 3(x−4)+2x3(x - 4) + 2x .

a)

5x−125x - 12

b)

3x−123x - 12

c)

x−12x - 12

d)

5x−25x - 2

14.

7(x + 4)

(a)  

15.

Which of the following expressions is equivalent to:

2(3v + 8)

a)

6v+16

b)

6v+8

c)

6v+6

d)

6v-8

16.

Fill in the blank:
2(x + 7) = 2x + __

a)

7

b)

14

c)

7x

d)

14x

17.

Which of the following is equivalent to (36x + 72y)?

a)

2(18 + 32y)

b)

6(6x + 12y)

c)

4(9x + 13y)

d)

6xy(6 + 12)

18.

Is 20b+16c  equal to 4(4b+5c)?

a)

yes

b)

no

19.

Which expression is equivalent to 8(x + 1)

a)

8x + 8

b)

8x + 1

c)

x + 8

d)

16x

20.

Find the equivalent expression for5(a + 6)

a)

5a+6

b)

5a+30

c)

a+30

d)

5a-30