1. Simplify 2r −10(2 + 7r) Is -3 a solution for this equation? 4x + 2 = -10 Write down this problem on your READY RECALL SHEET Be prepared to explain your answer if you are called on. Page 12 of your INB

2. Unit 1: Linear Equations This chapter will include some review from last year. Mostly, we will be solving equations – lots of equations! 1.3 Distribution and Combining Like Terms

3. Get into your 4-Square Groups Simplify 2r −10(2 + 7r) Page 12-13 of your INB

4. If I were to DISTRIBUTE a gift to the class, what would that look like? Distribute: To Give to Everyone

6. Distributive Property Multiply/Divide everything in the group by the number outside. = 14 = -6m + 15 = 2m + 1 Examples: 2(4 + 3) = 2 * 4 + 2 * 3 = 8 + 6 -3(2m – 5) = -3 * 2m - -3 * 5 4m + 2 2 = 4m + 2 2 2

7. 4. -(3m – 2) = 3. -2(6y + 7) = 1. 3(4x + 5) = 6. 3 + 12m = -3 5. 8x + 6 = 2 2. 4(4x – 3) =

8. COMBINING LIKE TERMS What are Like Terms? Terms with the same variable and the same exact powers (Same last name). Example : 2y and 6y are like terms. WHY? 3x and 4y are not like terms. WHY?

9. Identify the “Like Terms” 4x 2 12x 2 6x 3x 8x 10r 6r 9r 57xy 4xy 16xy 5m 15m 20m 2 13m 2 12p 8 12

10. Combining Like Terms 1. Draw lines in front of each + or – to separate all the terms. 2. Color all like terms the same color. 3. Put each group of like terms together. 4. Simplify each group into one single term. Example: -5a – 2 + 3a – 4b + a – 12 + 6b + 1 – a -5a– 2+ 3a– 4b+ a– 12+ 6b+ 1- a -5a +3a + a - a -4b + 6b -2 -12 +1 -2a + 2b - 13

11. 4. 2e - 2e = 3. m – 2 + m = 1. 3p – 2 + 3 – 2p = 6. -2(1 – 4m) + 2m = 5. 4 + 3(2x + 6) = 2. 4x + 3 – x = Simplify:

12. I can simplify 2r −10(2 + 7r) Let’s go back to our “I can” statement and solve it with our new skills.

13. SHOW YOUR WORK Worksheet 1.3 Distributive Property & Combine Like Terms