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: #4a IN: What does it mean to combined like terms? Give an example. Know that inverse operations are used to isolate the variable. Know that “keeping the balance” is required. Multi-step Equations: 1. If needed…..remove roadblocks. - Combine like terms: terms with the same variable can be combined 3x + 5x = 8x - Clear the parentheses using the distributive property. a(b + c) = ab + ac - Move the variable to one side of the equation using inverse operations. 8x + 2 = 4x + 5 -4x -4x 4x + 2 = 5 2. Follow the steps for solving a 2-step equation. Examples: 4a – 5 + 2a + 9 = 28 6a + 4= 28 -4 -4 6a = 24 6 6 A=4 4(a – 1) + 3 = 19 4a – 4 + 3 = 19 4a – 1 = 19 +1 +1 4a = 20 4 4 A=5 11a + 9 = 4a + 30 -4a -4a 7a + 9 = 30 -9 -9 7a = 21 7 7 a=3 Reflection:_________________________________________________________________________________________________ __________________________________________________________________________________________________________ __________________________________________________________________________________________________________ __________________________________________________________________________________________________________ __________________________________________________________________________________________________________ Out: Write an equation for the following statement, an then solve it. The sum of 3 times a number and 7, divided by 5, is 17. HW: _________________________ _____________________________ _____________________________ _____________________________ _____________________________
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