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Distributive Property Equations

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Which expression is equivalent to 4(x+2)?

a)

8x

b)

6x

c)

4(x)+4(2)

2.

Which expression is equivalent to 6(a-3)?

a)

6(a)-3

b)

18a

c)

3a

d)

6(a)-6(3)

3.

Which expression is equivalent to 7(x+4)?

a)

11x

b)

7(x)+4

c)

7(x)+7(4)

d)

28x

4.

Which expression is equivalent to 9(w+8)?

a)

9w+72

b)

17w

c)

9w+8

d)

72w

5.

Which expression is equivalent to 5(h+9)?

a)

5h+45

b)

5h+9

c)

14h

d)

45h

6.

Which expression is equivalent to 6(n-4)?

a)

918n -10

b)

18n - 24

c)

18n - 4

d)

3n - 24

7.

Which expression is equivalent to 36a-27?

a)

3(18a-9)

b)

3(12a-6)

c)

9(4a-3)

d)

9(4a-27)

8.

Which expression is equivalent to 5a+20 ?

a)

5(5a+4)

b)

5(a+20)

c)

5(a+4)

d)

5(a+1)

9.

Which expression is equivalent to

a)

3(y-1)

b)

9(3y-3)

c)

9(y-3)

d)

3(3y-1)

10.

Barbara used the distributive property to write an expression that is equivalent to 7d+ 63. Her work is shown below.


The greatest common factor is 7 so 7d+63=7(d+63)

What was Barbara’s error?

a)

Barbara wrote (d+63) instead of (63d).

b)

Barbara wrote (d+63) instead of (d+56).

c)

Barbara wrote (d+63) instead of (d+10d).

d)

Barbara wrote (d+63) instead of (d+9).

11.

Which expression is equivalent to 7(a+2) when a=6 ?

a)

7(6)

b)

9(6)

c)

7(6)+2

d)

7(6)+14

12.

Which expression is equivalent to 5(w+4) when w=9?

a)

5(9)+20

b)

5(9)+4

c)

5(9)

d)

9(5)

13.

Emily is substituting s=8 and s=10 to determine if the two expressions are equivalent.

6(s-4) 6s-24

a)

The expressions are not equivalent.

b)

Both expressions are equivalent to 46 when s=10

c)

Both expressions are equivalent to 44 when s=8

d)

Both expressions are equivalent to 24 when s=8.

14.

Ethan is substituting s=3 and s=8 to determine if the two expressions are equivalent.

4(6s+1) and 24s+1

Which statement is true?

a)

Both expressions are equivalent to 193 when s=8.

b)

The expressions are not equivalent.

c)

Both expressions are equivalent to 73 when s=3.

d)

Both expressions are equivalent to 76 when s=3.

15.

Tomas is substituting z=5 and z=9 to determine if the two expressions are equivalent.

8(4z - 3) and 32t - 24

Which statement is true?

a)

Both expressions are equivalent to 157 when z=5

b)

Both expressions are equivalent to 264 when z=9.

c)

Both expressions are equivalent to 46 when z=5

d)

The expressions are not equivalent.