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Published byLydia Foster Modified over 5 years ago

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Multi-Step Equations Sol A.4

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To solve multi-step equations you form a series of simpler equivalent equations. To do this use the properties of equality, inverse operations and properties of real numbers. You use the properties until you isolate the variable.

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Combining Like Terms 5 = 5m – 23 + 2m 5 = 5m + 2m – 23Comm. Prop. Of Addition 5 = 7m – 23Combine Like Terms 5 + 23 = 7m – 23 + 23 Add 23 to both sides 28 = 7mSimplify 28/7 = (7m)/7Divide each side by 7 4 = m Check your work.

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Your Turn 11m – 8 – 6m = 22

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Your Turn -2y + 5 + 5y = 14

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Solving a Multi-Step Equation Word Problem Turn to page 95 in your textbook and lets look at “Problem 2” together.

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Solving an Equation Using the Distributive Property -8(2x – 1) = 36 -16x + 8 = 36Distributive Property -16x + 8 – 8 = 36 – 8 Subtract 8 from both sides -16x = 28Simplify (-16x)/-16 = 28/-16Divide each side by -16 X = -7/4 Simplify

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Your Turn 18 = 3(2x – 6)

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Solving an Equation That contains Fractions There are 2 methods that you can you to solve an equation that contains fractions. I will show you both methods and you need to try them both to decide which works best for you!

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Method 1 Write the terms using a common denomitaor 3/4x – 1/3x = 10

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Method 2 Clear the fractions from the equation 3x/4 – x/3 = 10

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Your turn (2b)/5 + (3b)/4 = 3

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Your Turn 1/9 = 5/6 – m/3

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