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

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

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Page 1: 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

Math IA Warm Up:

1. Solve. How did you clear the fraction?

x = 9 x = 27 3 Multiply by the denominator

2. Solve. What process do you use to clear fractions when solving proportions?

x = 18 x = 54 9 3 Multiply using cross products

then divide by the coefficient of x.

COLLECT WARMUPS!!!

Page 2: 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

Homework Check:

Page 3: 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

Homework Check:

Page 4: 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

Pop Quiz Review:

Questions???

QUIZ

Page 5: 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

Objectives:Students will be able to:

•Solve equations using proportions.•Create equations with one variable and use them to solve multi-step problems.

Page 6: 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

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 variable5. Multiply or Divide to isolate the variable

Page 7: 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

Example 1:

Multiply by 7 to clear the fraction.

. Solve like other equations.6x = -30 x = -5

Page 8: 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

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

Page 9: 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

Classwork:Worksheet on

Algebraic Proportions #1-2

Page 10: 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

Homework:Worksheet on

Algebraic Proportions #3-4