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Date: 4/28 – 5/1/2016 Lesson number: Lesson Title: Solving Linear Equations Learning Target: Find the value of x in a linear equation Success Criteria: 1. 2. before after Questions: IN: Solve: #4a 1) Know that inverse operations are used to isolate the variable. Know that “keeping the balance” is required. 2) N + 5 = 32 2 x = 45 5 Goals for solving equations: 1. Isolate the variable 2. Keep the balance One-step equations: 1. Use the inverse operations to isolate the variable. - Add/subtract (add the opposite) - Division/multiplication 2. Check by plugging back in. Two-step equations: 1. Use the inverse operation to move the constant and isolate the variable. - Will always be add/subtract 2. Multiply or divide by the coefficient - If it is a full fraction, multiply by the reciprocal. 3. Simplify and check 2 Examples: n – 7 = 19 3 +7 +7 ________ 2 n = 26 3 2 3 𝑥−5 3 3* = -10 𝑥−5 3 = -10 * 3 x – 5 = -30 2 3 3 2 x n = 26 x 78 N= 2 N = 39 +5 +5 _________ x = -25 Summary: _________________________________________________________________________________________________ __________________________________________________________________________________________________________ __________________________________________________________________________________________________________ __________________________________________________________________________________________________________ __________________________________________________________________________________________________________ Out: 1 Is 𝑥 = 8 a solution to (x + 6) = 4x – 3x – 1. Show your 2 work, explain your answer. HW: _________________________ 1. Various practice sheets _____________________________ _____________________________ 2. IMB #4a (front _____________________________ and back) _____________________________