1. Lesson 2.7 Combining Like Terms Mr. Beltz & Mr. Sparks

2. Goal Simplify an expression by combining like terms.

3. Vocabulary Like Terms: are terms in an expression that have the same variable raised to the same power. Examples 8x and 3x Yes x 2 and x 2 Yes x and 3x Yes, why? 1x 2 and x 3 No, why not?

4. Practice: Identify the LT -5x 2 – x + 8 + 6x – 10 -x and 6x, 8 and -10 -3x 2 + 2x + x 2 – 4 + 7x -3x 2 and x 2, 2x and 7x *Remember the signs stay with the number to the right!

5. Simplifying Expressions 8x + 3x = 8x + 3x = 11x 2y 2 + 7y 2 – y 2 + 2= 2y 2 + 7y 2 = 9y 2 9y 2 – 1y 2 = 8y 2 8y 2 + 2= 8y 2 + 2

6. Student Practice P. 108 # 3-5 Show original problem Show all work/steps

7. Distributing and Simplifying 5( x + 1 ) + 2( 4 － x ) 5x + 5 + 24 － 2x 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:

8. Try These: Page 108 # 6, 7, 8 Homework: Page 110 #16 – 38 even Day 2 – Page 110 # 15- 37 odd