2.3 Solving Multi-Step Equations

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GGATHER ANY LIKE TERMS on each side before you move any terms to opposite sides of an equation. ii.e.5x + 10 – x = 6 – 4 4x + 10 = = -10 4x.

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Presentation transcript:

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 -2b + 8 = 12 - 8 - 8 -2b = 4 b = -2

Solving an Equation that Contains Fractions Solve

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

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.

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