Algebraic Expressions and Distributive Properties

To multiply a sum or difference by a number, multiply each term in the sum or difference by the number outside the parentheses. Then simplify.

• Distributive Property

• Associative Property of Addition and Multiplication

• Addition Property of Zero

• Multiplication Property of 1

• Commutative Properties

An Expression that may contain numbers, operations, and one or more variables

• Like Terms

• Term

• Algebraic Expression

• Variable

• Equivalent Expressions

A number or variable by itself, or product of numbers and variables in an algebraic expression.

• Like Terms

• Term

• Algebraic Expression

• Variable

• Equivalent Expressions

Use the distributive property to simplify:
3(n + 9)

• 27n

• 27n + 3

• 3n + 27

• 9n - 3

Which of these is the correct use of the distributive property for the following expression?
5(2x - 8)

• 10x - 8

• 10x + 40

• 7x - 3

• 10x - 40

Use the Distributive Property to simplify the expression.
6(7g + 4 − g)

• 60g

• 41g + 4

• 36g + 24

• 12g +4

Which expression is equivalent to 6b + 3(a+b)?

• 3a (7b)

• 9b + (a+b)

• 3a + 6b

• 3a + 9b

Fill in the blank:
2(x + 7) = 2x + __

• 7

• 14

• 7x

• 14x

7(x + 4)

Find the equivalent expression for5(a + 6)

• 5a+6

• 5a+30

• a+30

• 5a-30