Equivalent Expressions and Distributive Property

Simplify by combining like terms: 7v - 2 + 12 + 2v

• 23

• 23v

• 9 + 14v

• 9v + 10

Use the distributive property to rewrite the following expression:

-4(2h - g)

• -4(2gh)

• 2h - 4g

• 8h - g

• -8h + 4g

Use the distributive property to rewrite the following expression: 5(2x + 6) + 4(10x - 2)

• 10x + 30 + 40x - 8

• 50x + 22

• 50x - 22

• 10x + 30 + 40x + 8

Factor out the greatest common factor (GCF).

5x + 35

• 5

• (x + 7)

• 5(x + 7)

• 5(x + 30)

Factor out the greatest common factor (GCF).

12x - 20

• 6(2x - 3)

• 4(3x - 5)

• 4x(3x - 5)

• 3(4x + 6)

When you are adding two numbers with the same sign, what do you do?

• add the numbers and keep the sign

• subtract the numbers and keep the sign

• add the numbers and use the opposite sign

• subtract the numbers and use the opposite sign

-4(2a + 7) + 3a + 18

• -5a - 10
• 11a + 46
• 5a + 46
• 11a - 10

Which expression is equivalent to 8(7 + 9) because of the distributive property?

• (8 x 7) - (8 x 9)

• (8 + 7) + (8 + 9)

• (8 x 7) + (8 x 9)

• (8 + 7) - (8 + 9)

Which expressions are equal to the sum of 36 + 24? Choose ALL that apply.

• 6(5 + 4)

• 3(6 + 8)

• 12(3 + 2)

• (12 x 3) + (12 x 2)

• (12 + 3) + (12 + 2)

Which of the following is equivalent to 5(2x + 6)?

• 10x + 30
• 10x + 6
• 40x
• 2x + 30