Lesson 2.7 Combining Like Terms

Mr. Beltz & Mr. Sparks

Goal

Simplify an expression by combining like terms.

Vocabulary Like Terms: are terms in an expression that

have the same variable raised to the same power.

Examples 8x and 3x Yes x2 and x2 Yes x and 3x Yes, why? 1x2 and x3 No, why not?

Practice: Identify the LT

-5x2 – x + 8 + 6x – 10 -x and 6x, 8 and -10

-3x2 + 2x + x2 – 4 + 7x -3x2 and x2, 2x and 7x

*Remember the signs stay with the number to the right!

Simplifying Expressions 8x + 3x =

8x + 3x = 11x

2y2 + 7y2 – y2 + 2=

2y2 + 7y2 = 9y2 9y2– 1y2 = 8y2

8y2 + 2= 8y2 + 2

Student Practice

P. 108 # 3-5

Show original problem Show all work/steps

Distributing and Simplifying

5( x + 1 ) + 2( 4 － x )

5x + 5 + 2•4 － 2•x

5x + 5 + 8 － 2x

5x － 2x + 5 + 8

3x + 13

1 － 4( 1 － 2x)

1 + ( － 4)( 1 + -2x)

1 + ( － 4)(1) + (-4)(-2x)

1 + (-4) + 8x

-3 + 8x

Example:

Example:

Try These:

Page 108 # 6, 7, 8

Homework: Page 110 #16 – 38 even

Day 2 – Page 110 # 15- 37 odd