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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

1. Solving Simple Equations

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Exercise 25 Page 9

Use the Multiplication Property of Equality to eliminate the division.

m=7.3π

Practice makes perfect

To solve the equation, we have to isolate m on one side. Using the Multiplication Property of Equality, we will multiply both sides of the equation by π. This will eliminate the denominator of the fraction and isolate m.

m/π=7.3

LHS * π=RHS* π

m/π* π=7.3* π

FracMultDenomToNumber

a/π* π = a

m=7.3* π

Multiply

m=7.3π

To check that this solution is correct, let's substitute m= 7.3π into the original equation and simplify.

m/π=7.3

m= 7.3π

7.3π/π? =7.3π

▼

Simplify left-hand side

a/b=.a /π./.b /π.

7.3/1? =7.3π

a/1=a

7.3π=7.3π ✓

Since the left-hand side and right-hand side are equal, m=7.3π is the correct solution.

Subchapter links

Try It p.4-6

Self-Assessment for Concepts & Skills p.6

Self-Assessment for Problem Solving p.7

Review & Refresh p.8

Concepts, Skills, & Problem Solving p.8-10