Equivalent Expressions and Distributive Property Word Problems

Which of the following answer choices correctly expresses this sum as a multiple of a sum of two whole numbers with no common factor using the Distributive Property?

45 + 75

• 5(9 + 15)

• 5(9 + 17)

• 15(3 + 5)

• 15(3 + 7)

Which answer choice correctly expresses the sum below using the Distributive Property?

• 6(7 + 11)

• 6(7 + 16)

• 7(6 + 13)

• 7(6 + 16)

Which of the following is equivalent to the expression below? 36 + 8

• 4(9 + 2)

• 2(18 + 8)

• 4(9 + 8)

• 2(18 + 2)

2 times the sum of y and 5

• 62

• 2(y+5)

• 2(6y)

Simplify the expression using the distributive property:

6(5x + 7)

• 30x + 7

• 30x + 42

• 5x + 42

• 11x + 13

Which expression is equivalent to 9(2x + 5)?

• 18x + 5

• 18x - 45

• 18x + 45

• 18x - 5

Which expression is equivalent to 5(w + 4)?

• 5w + 20

• 5w + 4

• 5w - 4

• 5w - 20

Which expression is equivalent to 8(2x + 2)?

• 16x + 16

• 16x - 16

• 16x + 2

• 16x - 2

Which expression is equivalent to 9(p + 4)?

• 9p - 36

• 9p + 36

• 9p + 4

• 9p - 4

• A

• B

• C

• D