Free Printable Distributive Properties

1.

Solve: $4\left(4+2\right)$

a)

$16+4\ =\ 20$

b)

$8+4\ =12$

c)

$16+8\ =\ 24$

d)

$8+2=10$

2.

$3\left(n+2n\right)$

a)

$6n$

b)

$9n$

c)

$7n$

d)

$9$

3.

$2\left(x+3\right)$

a)

$2x+3$

b)

$2x+6$

c)

$7x$

d)

$x+5$

4.

Solve: $2𝑛(4−3)$

a)

$2n$

b)

$2n+1$

c)

$7n$

d)

$14n$

5.

Solve: $\left(4y+2\right)^2$

a)

$4y+4$

b)

$8y+4$

c)

$16y+4$

d)

$18y$

6.

Solve: $-6\left(2y+4\right)$

a)

$12y+24$

b)

$12y-24$

c)

$-12y+24$

d)

$−12𝑦−24$

7.

Solve: $a\left(b+c\right)$

a)

$ab+bc$

b)

$ab+ac$

c)

$abc$

d)

$a+b+c$

8.

Solve: $2(4+4b)$

a)

$6+6b$

b)

$8+8b$

c)

$8+4b$

d)

$16b$

9.

Solve: $2(2+2c)$

a)

$4\ +\ 4c$

b)

$8c$

c)

$2\left(4c\right)$

d)

$2c$

10.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

11.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

12.

4(-p - 6)

a)

4p - 24

b)

4p + 24

c)

-4p + 24

d)

-4p - 24

13.

-9(2g - 3)

a)

18g + 27

b)

-18g + 27

c)

-18g - 27

d)

18g - 27

14.

___ + 5 = 5 + 9

a)

9

b)

19

c)

14

d)

-9

15.

What is the multiplicative inverse of $\frac{8}{9}$

a)

$\frac{9}{8}$

b)

$-\frac{9}{8}$

c)

$-\frac{8}{9}$

d)

$\frac{8}{9}$

16.

What is the additive inverse of $\frac{8}{9}$

a)

$\frac{9}{8}$

b)

$-\frac{9}{8}$

c)

$-\frac{8}{9}$

d)

$\frac{8}{9}$

17.

3(10a + 5)

(a)

18.

2 (9 + 2g)

(a)

19.

10(9a + 8b + 7c)

(a)

20.

8(7p + 9)

(a)

21.

Expand and simplify 3(x + 2) + 4(2x +1).

a)

11x + 10

b)

11x + 7

c)

7x + 10

d)

11x + 3

22.

Simplify the expression by using the Distributive Property:

9(5c + 4)?

a)

45c + 36

b)

81c

c)

45c + 4

d)

49c

23.

Simplify the expression by using the Distributive Property:

3(2h + 3c + 2)

a)

6h + 9c + 2

b)

6h + 9c + 6

c)

2h + 3c + 6

d)

5h + 6c + 5

24.

Simplify the expression by using the Distributive Property:

4(5b - 6f - c)

a)

20b - 24f - 4c

b)

9b - 10f - 4c

c)

45b - 46f - 4c

d)

20b + 24f + 4c

25.

Simplify the expression by using the Distributive Property:

6(x - 3 + 5y)

a)

6x + 18 - 30y

b)

6x 18 30y

c)

6x + 18 + 30y

d)

6x - 18 + 30y

26.

Expand and simplify 3(2z + 1) - 2(5 + z).

a)

4z - 7

b)

7z - 7

c)

8z - 7

d)

4z + 13

27.

Expand and simplify 3(c - 2d) - 2(2c - 3d).

a)

-c

b)

c

c)

-c - 12d

d)

-c + 12d

28.

7a(3b - 2c + 4)

a)

10ab + 5ac + 11a

b)

10ab + 5ac + 28a

c)

21ab + 14ac + 28a

d)

21ab - 14ac + 28a

29.

Distribute and simplify

a)

15x + 135

b)

15x + 9

c)

39x + 9

d)

39x + 135

30.

Combine like terms to simplify:
(5x + 2) + (4x + 5)

a)

9x -7

b)

-9x-11

c)

9x+7

d)

x+7

Distributive Properties

Total questions: 30

Worksheet time: 3600secs

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