Question

DISTRIBUTIVE PROPERTY

1. apply the distributive property to the following expression
4(x + 10)

A. 4x + 14
B. 4x + 10
C. 4x + 40
D. x + 40

2. apply the distributive property to the following expression.
-2(a - 5)

a. - 2a + 10
b. -2a - 10
c. a + 10
d. -2a - 7

3. use the distributive property to combine like term and simplify the expression
10x + 3 (x-15)

a. 13x - 15
b. 13x + 45
c. - 32x
d. 13x - 45

4. use the distributive property to combine like terms and simplify the expression
-5(c+d) + 7c - 2d

5. use the distributive property to combine like terms and simplify the expression
2(2z + 4) - 2 (3z + 10)

a. -14z
b. -2z - 12
c. -2z + 28
d. -2z + 14

Answer 1

1. C. 4x + 40

2. a. - 2a + 10

3. d. 13x - 45

4. 2c-7d

5. b. -2z - 12

Explanation:

1. 4(x+10) = 4x+4*10 = 4x+40

C

2. -2(a - 5) = -2*a -2*-5 = -2a+10

A

3. 10x + 3 (x-15)

10x + 3x -3*15

10x+3x-45

13x-45

D

4. -5(c+d) + 7c - 2d

-5c-5d + 7c-2d

-5c+7c -5d -2d

2c-7d

5. 2(2z + 4) - 2 (3z + 10)

2*2z +2*4 -2 *3z -2*10

4z+8 -6z-20

4z-6z+8-20

-2z-12

B