Simplifying Algebraic Expressions Distributive

Use the distributive property to simplify the expression.

5(a + 6)

• 5a + 6

• a + 30

• 5a + 30

• 5a - 30

Use the distributive property to simplify the expression.

2(7c - 8)

• 14c - 16

• 14c + 16

• 7c - 16

• c - 16

Use the distributive property to simplify the expression.

3(2c - 5)

• 6c - 15

• 6c + 15

• 6c + 15

• -6c - 15

Use the distributive property to simplify the expression.

9(2g + 3)

• 18g + 27

• 18g - 27

• -18g - 27

• 18g - 18

7(x + 4)

After you Distribute, what will your equation look like?

g

h

i

j

f

e

+2

-8

-2

=

-30

+8

-9x

-5

-3x

20x

Find the equivalent expression for5(a + 6)

• 5a+6

• 5a+30

• a+30

• 5a-30

The first step is to Distribute. Once you distribute what equation are you left with?

c

d

e

f

7x

x

-56

=

-70

-10

The First Step is to distribute. After you distribute, what does your equation look like?

g

h

j

f

c

b

-2x

=

-42

42

-10x

+20

-2

10x

+2

-20

Answer explanation

To simplify the expression, distribute the 2 to both terms inside the parentheses: 2(3x) + 2(4) + x = 6x + 8 + x = 7x + 8. Therefore, the correct choice is 7x + 8.