Section 5.3A Solving Proportions Section 5.3A Solving Proportions

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Presentation transcript:

Section 5.3A Solving Proportions Section 5.3A Solving Proportions Objectives: Using proportions to solve equations

Concept: What is a Ratio? Ratio: A comparison of two quantities using a quotient (fraction). The word “TO” separates the numerator and denominator quantities. The ratio of 12 to 17 translates to Numerator Denominator Unit ratio: A ratio with a denominator of 1.

A PROPORTION is an equation stating that two ratios are equal. Concept: What is a Proportion A PROPORTION is an equation stating that two ratios are equal. means extremes In a proportion, the product of the means is equal to the product of the extremes.

Concept: Solving Proportions cont… You Try!!! Solve for x: 4 x 6 42 = x = 28

Concept: Solving Proportions cont… You Try!!! Solve for x: 25 5 x 2 = x = 10

Concept: Solving Proportions cont… You Try!!! Solve for x: 3 = 12 y 28 x = 7

Concept: Solving More Complex Proportions To solve more complex problems, you still begin by cross multiplying, and then solving following SADMEP Cross multiply 2. Distribute Subtract 4b from both sides Subtract 15 from both sides

Your Turn: Solve for x Cross multiply 2. Distribute 3. Subtract 3x from both sides 4. Add 10 to both sides 5. Divide both sides by 2

Homework: PM 5.3A PM 5.3A

Homework: PM 5.3A