Distributive Property and Like Terms Algebraic Expressions

Multiplying a number outside the parentheses by each term inside the parentheses (double rainbow!) 4(2x -1) = 8x - 4

• associative property

• commutative property

• distributive property

• like terms

Terms that have the same variable

• like terms

• factor

• term

• coefficient

lets you simplify expressions wherein you multiply a number by a sum or difference.

• distributive property

• variable

• term

• algebraic expression

terms with the same variable raised to the same power.

• like terms

• variable

• term

• expression

8y + 5 - 2y

• 6y + 5

• 11y

• 10y + 5

• 15y

Combine the like terms in the expression: 5x + 3y + 5 + 4x + 3y + y + 8

• 9x + 7y + 13

• 6x + 2y + 2

• 25x + 2y + 3

5x + 3y + 5 + 4x + 3y + y + 8

• 9x + 7y + 13

• 6x + 2y + 2

• 25x + 2y + 3

Combine the like terms in the expression: 5x + 3y + 5 + 4x + 3y + y + 8

• 9x + 7y + 13

• 6x + 2y + 2

• 25x + 2y + 3

Combine like terms: n -10 + 9n - 3=

• 9n - 7

• 10n - 7

• 9n - 13

• 10n -13

Simplify the expression

3m - 15 + 2m - 4

• 5m - 19

• m + 19

• 5m - 15

• 24m