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Applying Distributive Property to Simplify Expressions

Total questions: 12

Worksheet time: 14mins

Name
Class
Date
1.

Simplify using distributive property.

2(x+3)

a)

2x-6

b)

2x+3

c)

2x+6

d)

2x-3

2.

Simplify using distributive property.

3(x-6)

a)

3x+18

b)

3x-6

c)

3x+6

d)

3x-18

3.
Which of the following is equivalent to 5(2x + 6)?
a)
10x + 30
b)
10x + 6
c)
40x
d)
2x + 30
4.

Simplify: 2(3v - 8)

a)

6v-16

b)

6v-8

c)

6v-6

d)

6v+8

5.
Simplify:
3(9 + 2d) + 4d 
a)
18d+10d
b)
18d-10d
c)
27+10d
d)
37d
6.

8h +7(2 + 4h)


HINT! Combine like terms after using the distributive property.

a)

90h

b)

12h + 14

c)

50h

d)

36h +14

7.
7(a + 8) - 5a + 4
a)
2a + 60
b)
-5a + 60
c)
2a + 56
d)
7a + 4
8.

-5a + -2(a - 1) Hint: Apply the Distributive Property first.

a)

-7a + 2

b)

-9a

c)

-7a - 2

d)

12a - 2

9.

Simplify the expression 8(2x2)38\left(2x-2\right)-3  

a)

16x - 19

b)

16x -5

c)

32x - 3

d)

16x  + 13

10.

Simplify:  2(x5)+3(2x+5)2\left(x-5\right)+3\left(2x+5\right)  

a)

4x + 3

b)

8x +5

c)

8x

d)

4x + 10

11.

Fill in the blank: 5(2x + 4) = 10x + (a)  

12.

Fill in the blank: 2(3x + (a)   ) = 6x + 18