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Solving Multi-Step Equations with Like Terms and Parentheses

Solving Multi-Step Equations with Like Terms and Parentheses. How to Simplify. Let’s Review Simplifying equations involves three steps. Getting rid of fractions. To get rid of a fraction from an equation multiply each term by the LCD. Getting rid of parentheses.

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Solving Multi-Step Equations with Like Terms and Parentheses

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  1. Solving Multi-Step Equations withLike Terms and Parentheses

  2. How to Simplify Let’s Review Simplifying equations involves three steps. • Getting rid of fractions. • To get rid of a fraction from an equation multiply each term by the LCD. • Getting rid of parentheses. • To get rid of parentheses from an equation, distribute. • Getting rid of like terms that are on the same side of the equal sign. • Combine like terms by adding or subtracting using your integer rules.

  3. Any Fractions? NO Any Parentheses? YES - Then Distribute Any Like Terms? NO Then ISOLATE Now SOLVE Ex. 1

  4. Ex. 2 • Any Fractions? • NO • Any Parentheses? • YES - Then Distribute • Any Like Terms? • YES - Combine • Then ISOLATE • Now SOLVE

  5. Ex. 3 • Any Fractions? • NO • Any Parentheses? • YES - Then Distribute • Any Like Terms? • YES - Combine • Now ISOLATE

  6. Ex. 4 • Any Fractions? • NO • Any Parentheses? • YES - Then Distribute • Any Like Terms? • YES - Combine • Now ISOLATE • Then SOLVE

  7. Ex. 5 • Any Fractions? • NO • Any Parentheses? • YES - Then Distribute • Any Like Terms? • NO • Then ISOLATE • Now SOLVE • AND round to two decimal places.

  8. Ex. 6 • Any Fractions? • NO • Any Parentheses? • YES - Then Distribute • Any Like Terms? • NO • Then ISOLATE • Now SOLVE

  9. Ex. 7 • Any Fractions? • NO • Any Parentheses? • YES - Then Distribute • Any Like Terms? • NO • Then ISOLATE • Now What???? true What happened to the variables? The variables cancelled each other out. The statement left says 6=6. Is that true or false? Does that solution mean ALL REAL NUMBERS or NO SOLUTION?

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