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Big Ideas Math: Modeling Real Life, Grade 7 View details

2. The Percent Proportion

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Exercise 8 Page 245

Use the Division Property of Equality to eliminate the coefficient.

Practice makes perfect

To solve the equation, we have to isolate x on one side. Using the Division Property of Equality, we will divide both sides of the equation by 9. This will eliminate the coefficient, 9, and isolate x.

9x=- 1.8

DivEqn

.LHS /9.=.RHS /9.

9x/9=- 1.8/9

CancelCommonFac

Cancel out common factors

9x/9=- 1.8/9

SimpQuot

Simplify quotient

x=- 1.8/9

MoveNegDenomToFrac

Put minus sign in front of fraction

x=- 1.8/9

CalcQuot

Calculate quotient

x=- 0.2

This corresponds to option B.

Extra

Properties of Equality

There are four main Properties of Equality that we use when solving linear equations.

Properties of Equality
Addition Property of Equality	If a=b, then a+c=b+c.
Subtraction Property of Equality	If a=b, then a-c=b-c.
Multiplication Property of Equality	If a=b, then ac=bc.
Division Property of Equality	If a=b and c is not 0, then a/c=b/c.

In later chapters, you will learn about some more advanced Properties of Equality. As an example, there is a property for when we need to eliminate a radical or an exponent.

Power Property of Equality
If a=b, then a^m=b^m.

Subchapter links

Try It p.242-243

Self-Assessment for Concept & Skills p.243

Self-Assessment for Problem Solving p.244

Review & Refresh p.245

Concept, Skills, & Problem Solving p.245-246

Exercise 8 Page 245

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