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Solving Multi-Step Equations with Like Terms and Parentheses

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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. How to Simplify

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

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

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

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

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

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

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Ex. 7 Any Fractions? – NO Any Parentheses? – YES - Then Distribute Any Like Terms? – NO Then ISOLATE Now What???? 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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If c = 10 Find f

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Adapted by Mrs. Garay. Warm Up Solve. 1. 2x + 9x – 3x + 8 = 16 2. – 4 = 6x + 22 – 4x 3. + = 5 4. – = 3 x = 1 x = –13 x = 34 2 7 x 7 7 1 9x9x 16 2x2x 4.

Adapted by Mrs. Garay. Warm Up Solve. 1. 2x + 9x – 3x + 8 = 16 2. – 4 = 6x + 22 – 4x 3. + = 5 4. – = 3 x = 1 x = –13 x = 34 2 7 x 7 7 1 9x9x 16 2x2x 4.

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