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Solving Equations with Variables on both sides
Foldable Notes
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How to Solve an Equation
Name
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#1 Use the Distributive Property if needed (are there parenthesis?)
2(x+2) + 2 = x (x) + 2(2) + 2 = x x = x + 12
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#2 Get variables to one side if needed *use inverse/opposite operations Add/subtract Multiply/divide 2(x+2) + 2 = x (x) + 2(2) + 2 = x x = x x -x x = 12
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#3 Combine like terms if needed
2(x+2) + 2 = x (x) + 2(2) + 2 = x x = x x -x x = 12 x + 6 = 12
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2(x+2) + 2 = x (x) + 2(2) + 2 = x x = x x -x x = 12 x + 6 = x = 6 Check: 2(6+2) + 2 = (8) + 2 = = = 18 yes! #4 Get the variable ALONE! ***always CHECK answer
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Let’s Practice 5(n-3) = 2n – 6 5n – 15 = 2n – 6 -2n - 2n 3n – 15 = -6
3n = 9 n = 3
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Whiteboard Practice with Partners
a + 5 = -5a + 5 5n + 34 = -2(1 – 7n)
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