Combining Like Terms and Distributive Property 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 combining like terms:

-10 - 5h + 13 + 7h

• 2h + 3

• 2h + 23

• -2h - 3

Simplify by combining like terms:

11r + 3 + 3r - 3

• 14r - 6

• 8r

• 14r

Simplify by using the Distributive Property of Multiplication:

5(3b - 4)

• 15b - 20

• 15b - 4

• 8b + 1

Simplify the Expression:

7x² - 3a +20 - 4x² + 2a

• 11x² - a + 20

• 3x² - a + 20

• 2a + 20

• 3x² - a

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

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

Simplify the following expression:
-10x + 15 - 3x + 2

• 13x² + 17

• -13x² + 13

• -13x + 17

• -7x + 17

Simplify:
 -2y + 8 + 7y + 5

• -5y-13

• 9y+13

• 5y+13

• 9y-13

Like terms have the same _____ and the same _____.

• variables and numbers

• signs and numbers

• variables and exponents

• variables and signs