Distributive Property and Combining Like Terms with Exponents

To be like terms that you can combine, variable terms must

• have the same coefficients

• have the same variable(s) with the same exponents

• have any variables, so you can combine 7h + 8y

Simplify by using the Distributive Property of Multiplication:

5(3b - 4)

• 15b - 20

• 15b - 4

• 8b + 1

Simplify by combining like terms:

-10 - 5h + 13 + 7h

• 2h + 3

• 2h + 23

• -2h - 3

When using the DISTRIBUTIVE PROPERTY I....

• ...multiply the number on the outside of the parenthesis will all terms inside the parenthesis.

• ...take the square root.

• ...add all terms that have the same variable.

• ...find the slope

Combining Like Terms means to...

• Add or subtract terms that have different exponents

• divide on both sides

• Add or subtract terms with the same variable and the same exponent.

• Multiply all the variables

3(3x +1)

• 9x +3

• 3x + 3

• 12x

• 9x + 1

12(4x + 5) + 10x

• 58x + 20

• 58x + 60

• 38x + 20

• 10x + 20

Simplify the following expression:

9x + 5(x + 3)

• 9x + 15

• 45x + 27

• 14x + 42

• 14x + 15

x² can be combined with 2x²

• True

• False

Simplify:
2x (-2x - 3)

• -4x - 3

• x² - 3

• -4x² - 6x

• -4x - 6