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Multi-Step Equations

Multi-Step Equations. Sol A.4 . 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. Combining Like Terms.

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Multi-Step Equations

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  1. Multi-Step Equations Sol A.4

  2. 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.

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

  4. Your Turn 11m – 8 – 6m = 22

  5. Your Turn • -2y + 5 + 5y = 14

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

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

  8. Your Turn 18 = 3(2x – 6)

  9. 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!

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

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

  12. Your turn • (2b)/5 + (3b)/4 = 3

  13. Your Turn • 1/9 = 5/6 – m/3

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