Equivalent Expressions Using Distributive Property and Like Terms

Use the Distributive Property to write an expression equivalent to:

9(x + 7)

• 9x + 7

• 9x + 63

• 72x

• x + 63

Write an equivalent expression using the Distributive Property:

5(2x - 11)

• 10x - 11

• 10x - 55

• 7x - 16

• 10x + 55

Which of the following expressions is equivalent to: 10x + 70 ?

• 2(5x + 70)

• 5(2x + 70)

• 7(2x + 10)

• 10(x + 7)

Which of the following expressions is equivalent to:

24 - 18x ?

• 6(4 - 3x)

• 6(4 - 18x)

• 3(6 - 6x)

• 3(8x - 6)

There are three answer choices that have expressions that are equivalent. Which one DOES NOT have expressions that are equivalent?

• 2x + 8 and 2(x + 4)

• y + y + y + y and 4y

• 16y + 8 and 8(2y + y)

• 3b - 2b + 5 and b + 5

When simplifying an expression, what is the name of the property that we use when multiplying a number on the outside of the parentheses by everything inside the parentheses?

• Multiplication

• Factoring

• Distribution

• Combining Like Terms

Use the Distributive Property to solve 5 (x+2) = ?

• (5+x)+(5+2)

• 5x+7

• 5x+10

• 12

Use the distributive property to find an equivalent expression: 5(2f + 4)

• 10f + 4

• 10f + 9

• 10f + 20

• 30f

Use the distributive property to simplify the expression

4(-8 + 4)

• 20

• -36

• -48

• -16

• 10x + 30

• 10x + 6

• 40x

• 2x + 30