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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

8. Proportions and Similar Figures

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Exercise 38 Page 136

Use the Properties of Equality to solve the proportion.

-3/5

Practice makes perfect

To solve the proportion we will use the Properties of Equality. Remember that we will need to treat m+1 as a single quantity in the multiplication process.

-3/m=2/m+1

LHS * m=RHS* m

-3=2/m+1 * m

LHS * (m+1)=RHS* (m+1)

-3*(m+1)=2* m

Multiply

-3(m+1)=2m

We will continue solving for m using the Distributive Property and the Properties of Equality.

-3(m+1)=2m

▼

Distribute -3

Distribute -3

m(-3)+1(-3)=2m

Multiply

-3m+(-3)=2m

LHS+3m=RHS+3m

-3m+(-3)+3m=2m+3m

Add terms

-3=5m

.LHS /5.=.RHS /5.

-3/5=m

MoveNegNumToFrac

Put minus sign in front of fraction

-3/5=m

Rearrange equation

m=-3/5

Subchapter links

Lesson Check p.133

Standardized Test Prep p.136

Mixed Review p.136