# Slide Show Combining Like Terms - Tangipahoa Parish School Board Combining Like Terms Objectives Simplify expressions with several variables by combining like terms. www.GuarinoLand.com Copyright by Holt, Rinehart and Winston. All Rights Reserved. Combining Like Terms Glossary Terms Coefficient Variable Exponent Term Like Terms Simplified

www.GuarinoLand.com Copyright by Holt, Rinehart and Winston. All Rights Reserved. Combining Like Terms Some Things to Remember Just Watch What Happens x 1x 1 +1x 1 +1x +1x

www.GuarinoLand.com 1 Copyright by Holt, Rinehart and Winston. All Rights Reserved. Combining Like Terms Key Skills Like Terms same variable with same exponent Simplify 6x + 2x = When combining like terms, only use the coefficients. 6x + 2x = 8x

Simplify 4x + 3y 2x + 4y = 2x + 7y Never, NEVER, combine xs and ys or constant terms with variable terms. 2x + 7y 9xy and 3a + 6 9a. www.GuarinoLand.com Copyright by Holt, Rinehart and Winston. All Rights Reserved. Combining Like Terms Just Watch What Happens + 7x + 3y + 5y 9x 17y = 2x = 9y www.GuarinoLand.com Copyright by Holt, Rinehart and Winston. All Rights Reserved.

Combining Like Terms TRY THESE 1) 3q + 7q = 10q Your welcome 2) 4x + 8y 10x + 3y = 4x + 8y 10x + 3y = 6x + 11y Review Again 3 + 5x = 3 + 5x 8x www.GuarinoLand.com 3(5x) = 15x Copyright by Holt, Rinehart and Winston. All Rights Reserved. Combining Like Terms

In algebraic terms, find the perimeter of the following shape. 4x + 3y Key Skills 3x 2y 3x 2y 2x To find the perimeter, add the sides together. P = 3x 2y + 2x + 3x 2y + 4x + 3y = 12x y What is the perimeter if x = 5 and y = 8? P = 12(5) 8 = 52 www.GuarinoLand.com Copyright by Holt, Rinehart and Winston. All Rights Reserved. Combining Like Terms

Find the perimeter of the following shape when x = 2. TRY THIS 5x + y 5x + y 6x 2y To find the perimeter, add the sides together. P = 5x + y + 5x + y + 6x 2y = 16x = 32 Does the value of y matter in this problem? Obviously Not! www.GuarinoLand.com Copyright by Holt, Rinehart and Winston. All Rights Reserved. Combining Like Terms TRY A farmer has two rectangular fields. THIS He wants to put a fence around both. In algebraic

terms, how much fence would he need? 3x 6 2x + 5 Field 2 4 3 Field 1 P1 = 3 + 3 + 2x + 5 + 2x + 5 P1 = 4x + 16 Ptotal = 4x + 16 + 6x 4 P2 = 4 + 4 + 3x 6 + 3x 6 P2 = 6x 4 How much fence would the farmer need if x = 5? Ptotal = 10x + 12

Ptotal = 10(5) + 12 www.GuarinoLand.com Ptotal = 62 Copyright by Holt, Rinehart and Winston. All Rights Reserved. Combining Like Terms Your Turn 1. 2. 3. 4. 5. 6. 7.

8. 7t 4t = 24 6y 8y y = 27 -3s + 8s 10s = 35 18a 14a = 36 -5x + 7x 10x = 48 10z + 2z 13z = 45 -12r + 15r = 21 -3b 5b 2b = 80 www.GuarinoLand.com Copyright by Holt, Rinehart and Winston. All Rights Reserved.