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 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 Get into your 4-Square Groups Simplify 2r 10(2 + 7r) Page of your INB If I were to DISTRIBUTE a gift to the class, what would that look like? Distribute: To Give to Everyone Distributive Property Multiply/Divide everything in the group by the number outside. = 14 = -6m + 15 = 2m + 1 Examples: 2(4 + 3) = 2 * * 3 = (2m 5) = -3 * 2m - -3 * 5 4m = 4m 4. -(3m 2) = 3. -2(6y + 7) = 1. 3(4x + 5) = m = x + 6 = (4x 3) = 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? 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 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 b + 1 a -5a 2+ 3a 4b+ a 12+ 6b+ 1- a -5a +3a + a - a -4b + 6b a + 2b - 13 4. 2e - 2e = 3. m 2 + m = 1. 3p 2p = 6. -2(1 4m) + 2m = (2x + 6) = 2. 4x + 3 x = Simplify: I can simplify 2r 10(2 + 7r) Lets go back to our I can statement and solve it with our new skills. SHOW YOUR WORK Worksheet 1.3 Distributive Property & Combine Like Terms