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Published byJason Ramsey Modified over 7 years ago

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Math IA Warm Up: 1.Solve. How did you clear the fraction? x = 9x = 27 3Multiply by the denominator 2. Solve. What process do you use to clear fractions when solving proportions? x = 18x = 54 9 3Multiply using cross products then divide by the coefficient of x. COLLECT WARMUPS!!!

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Homework Check:

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Pop Quiz Review: Questions??? QUIZ

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Objectives: Students will be able to: Solve equations using proportions. Create equations with one variable and use them to solve multi-step problems.

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Multi-Step Equations with Fractions/Decimals and Algebraic Proportions Equations with Fractions/Decimals: Steps: 1. Clear parentheses by using the distributive property. 2. If there are fractions or decimals, clear them by multiplying by the lowest common denominator (lowest decimal place value for decimal numbers). 3.Combine like terms on each side of the equal sign. 4.Add or subtract to isolate the variable 5.Multiply or Divide to isolate the variable

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Example 1: Multiply by 7 to clear the fraction.. Solve like other equations. 6x = -30 x = -5

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Example 2: 28 – 2.2y = 11.6y + 262.6 Multiply by 10 (since lowest decimal is tenths place). 280 – 22y = 116y + 2626. Solve. -138y = 2346 y = -17

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Classwork: Worksheet on Algebraic Proportions #1-2

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Homework: Worksheet on Algebraic Proportions #3-4

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