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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 6 Page 5

Use the Division Property of Equality to eliminate the multiplication.

w=20

Practice makes perfect

To solve the equation, we have to isolate w on one side. Using the Division Property of Equality, we will divide both sides of the equation by 0.09. This will eliminate the factor and isolate w.

0.09w=1.8

.LHS /0.09.=.RHS /0.09.

0.09w/0.09=1.8/0.09

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Calculate quotient

Factor out 0.09

0.09w/0.09=0.09(20)/0.09

a/b=.a /0.09./.b /0.09.

w/1=20/1

a/1=a

w=20

To check that this solution is correct, substitute w= 20 into the original equation and simplify.

0.09w=1.8

w= 20

0.09( 20) ? = 1.8

Multiply

1.8= 1.8 ✓

Since the left-hand side and right-hand side are equal, w=20 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