Solving Proportional Equations

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# Solving Proportional Equations - PowerPoint PPT Presentation

Solving Proportional Equations . Saturday, June 7, 2014 We are learning to…solve problems that involve proportional reasoning. When is using the Equivalent Ratios Method not a good idea?. Terri eats 13 grapes in 23 minutes. At this rate how many grapes will she eat in 37 minutes?

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## Solving Proportional Equations

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### Solving Proportional Equations

Saturday, June 7, 2014

We are learning to…solve problems that involve proportional reasoning.

When is using the Equivalent Ratios Method not a good idea?
• Terri eats 13 grapes in 23 minutes. At this rate how many grapes will she eat in 37 minutes?
• Solve this proportional reasoning problem using the Equivalent Ratios Method.
• When might using the equivalent ratios method not be the best way to find the solution to a proportional relationship problem?
Solving Proportional Equations
• Today we are going to use our equation solving skills to solve proportional relationships.
• When solving equations:
• To eliminate ADDITION we used:
• To eliminate SUBTRACTION we used:
• To eliminate MULTIPLCATION we used:
• To eliminate DIVISION we will use:
• The goal when solving any equation is to isolate the variable.

SUBTRACTION

DIVISION

MULTIPLICAT`ION

1/3x

(3)

(3)

=

1/3x

x

1/3x

CHECK:

CHECK!

Are these equivalent fractions?

(7)

(7)

Use the Distributive Property

CHECK!

Are these equivalent fractions?

(4)

(4)

Multiply by the Numerator:

Divide by the Denominator:

Multiply by the Numerator:

Divide by the Denominator:

(5)

(5)

How many times does 9 go into 40 without going over?

4 whole times (36), with 4 left over

So…