Distributive Property and Factoring Algebraic Expressions Word Problems

Use the distributive property to simplify the expression

5(1+5b)

• 5+25b

• 6+6b

• 5+10b

Evaluate the expression when t = 10

Hint: Use the distributive property

4(t – 2)

• 35

• 24

• 12

• 32

Evaluate the expression when v = 4

Hint: Use the distributive property

5(v + 1)

• 26

• 12

• 11

• 25

Evaluate the expression when b = 2

Hint: Use the distributive property

b(b + 12)

• 28

• 14

• 144

• 24

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

• 10x + 30

• 10x + 6

• 40x

• 2x + 30

Find an equivalent expression for the given expression: 36x + 24

• 4(9x + 7)

• 4(9x + 8)

• 2(18x + 12)

• 12(3x + 3)

Solve using distributive property.
2(x+3)

• 2x-6

• 2x+3

• 2x+6

• 2x-3

Use the distributive property to simplify the expression

-8(10 - 2)

• -96

• -64

• -82

Use the distributive property to simplify the expression

4(-8 + 4)

• 20

• -36

• -48

• -16

Identify the property
a(b + c) = ab + ac

• Associative of addtion

• Distributive

• Commutative of addition

• Inverse