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Distributive Property

Total questions: 24

Worksheet time: 44mins

Name
Class
Date
1.

How can 4(3 +9) be expressed using the distributive property?

a)

4(3) + 4(4 + 9)

b)

4(3) + 4(9)

c)

4 + 9 = 9 + 4

d)

(4 + 3) x (4 + 9)

2.

How can 5(3 +2) be expressed using the distributive property?

a)

5(3) x 5(2)

b)

(5 x 3) x (5 x 2)

c)

5(3) + 5(2)

d)

(5 + 3) x (5+2)

3.

5(3 + 2)= ?

a)

20

b)

25

c)

30

d)

35

4.

7(5 + 4) =

a)

(7 x 5) + (7 x 4)

b)

35 + 28

c)

63

d)

All of the above

5.

If m = 9, what is 4m + 2m?

a)

54

b)

24

c)

78

d)

18

6.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
7.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
8.

What is the simplified version of this expression?  5(a+6)5(a+6)  

a)

 5a+65a+6  

b)

 a+30a+30  

c)

 5a+305a+30  

d)

 5a−305a-30  

9.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

10.
8(x + 5)
a)
8x + 13
b)
8x + 5
c)
8x + 40
d)
13x
11.
(x - 6)4
a)
24 - 4x
b)
4x - 6
c)
x - 24
d)
4x - 24
12.
-(8 - m)
a)
m - 8
b)
-8 - m
c)
8 - m
d)
m + 8
13.
Which of the following is equivalent to 5(a + 6)?
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
14.
Simplify the expression:
8(5 + w)
a)
40 + w
b)
40+8w
c)
85 + 8w
d)
13+8w
15.
Simplify the expression
11(9 + d)
a)
99 + d
b)
20 + 9d
c)
20 + d
d)
99+11d
16.
Simplify the expression:
3(4 + 7y)
a)
12 + 21y
b)
13 + 21y
c)
14 + 21y
d)
16 + 21y
17.
Fill in the blank:
2(x + 7) = 2x + __
a)
7
b)
14
c)
7x
d)
14x
18.
Fill in the blank:
4(3x + __) = 12x + 16
a)
4
b)
16
c)
4x
d)
12
19.
e(f + g) is equivalent to:
a)
ef + g
b)
f + g
c)
f + eg
d)
ef + eg
20.
7a(3b - 2c + 4)
a)
10ab + 5ac + 11a
b)
10ab + 5ac + 28a
c)
21ab + 14ac + 28a
d)
21ab - 14ac + 28a
21.
-7(w - 4) + 3w - 27
a)
4w + 15
b)
-4w + 1
22.
-(x + 4)
a)
-x - 4
b)
-x + 4
c)
-x + 5
d)
-x - 5
23.
½(8x + 2)
a)
4x + 2
b)
4x + 1
c)
16x + 4
d)
16x - 4
24.
6(p + 6) - (p - 6)
a)
5p + 42
b)
9p + 36