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Objective: Students will use inverse operations in order to solve multi-step equations. Warm up: Solve for x. 1. 5 + x =8 2. 10,000x = 10,000 Write an equation for the following X added to a hundred equals one-hundred-forty-nine . Homework: ONLY NINE PROBLEMSPg 146-147: #’s 22,23,28,29,31,32,42,43,54*
= 1. 5 + x = 8 5 + (-5) + x = 8 +(-5) 0 + x = 3 x = 3 2. 10,000x = 10,000 = x = 1 3. X + 100 = 149
Solving Multi-Step Equations Solving using Addition and Division: 7m – 17 = 60 7m – 17 +17 = 60 +17 Add 17 to both sides 7m + 0 = 77 Simplify 7m = 77 7m ÷ 7 = 77 ÷ 7 Divide each side by 7 m = 11 Check: 7(11) – 17 = 60 ? 77 – 17 = 60 ? 60 = 60 True
You try 1. -8 – 10a = -38 2. 5 = 35t – 30 -8 + 8 – 10a =-38 + 8 5 + 30 = 35t – 30 +30 0 – 10a = -30 35 = 35t -10a = -30 35 ÷ 35 = 35t ÷ 35 -10a ÷ -10 = -30 ÷ -10 1 = t a = 3 Check: -8 – 10(3) = -38? 5 = 35(1) – 30 ? 5 = 35 – 30 ? -8 -30 = -38? 5 = 5 True -38 = -38 True
Solving Multi-Step Equations -56 Solving using Subtraction and Multiplication: Check: 14 = 14 True -56
You Try 1. 2.
What number am I???? I am five times a number x plus three which equals seven. The equation 5 ∙ x + 3 = 7 5x +3 – 3 = 7 - 3 5x = 4 X = 4/5
You try A number b is first added to twenty then divided by 8 and equals 2. What number am I?