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2.3 Solving Multi-Step Equations

2.3 Solving Multi-Step Equations. Combining like terms Solve each equation. a. 2c + c + 12 = 78 3c + 12 = 78 - 12 - 12 3c = 66 c = 22 4b + 16 + 2b = 46 6b + 16 = 46 6b = 30 b = 5. Solving an Equation with Grouping Symbols. Solve -2(b – 4) = 12

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2.3 Solving Multi-Step Equations

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  1. 2.3 Solving Multi-Step Equations • Combining like terms Solve each equation. a. 2c + c + 12 = 78 3c + 12 = 78 - 12 - 12 3c = 66 c = 22 • 4b + 16 + 2b = 46 6b + 16 = 46 6b = 30 b = 5

  2. Solving an Equation with Grouping Symbols • Solve -2(b – 4) = 12 -2b + 8 = 12 - 8 - 8 -2b = 4 b = -2

  3. Solving an Equation that Contains Fractions • Solve

  4. Solving an Equation that Contains Decimals • Solve 0.5a + 8.75 = 13.25 100(0.5a + 8.75) = 100(13.25) 100(0.5a) + 100(8.75) = 100(13.25) 50a + 875 = 1325 - 875 -875 50a = 450 a = 9

  5. Steps for Solving a Multi-Step Equation • Clear the equation of fractions and decimals. • Use the Distributive Property to remove parentheses on each side. • Combine like terms on each side. • Undo addition or subtraction. • Undo multiplication or divison.

  6. More Practice!!! • Textbook – p. 91 # 1 – 9, 12 – 28 even. • Homework – workbook p. 277 # 2 – 32 even, p. 279 # 1 – 25 odd

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