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Big Ideas Math: Modeling Real Life, Grade 6

BI

Big Ideas Math: Modeling Real Life, Grade 6 View details

4. Writing Equations in Two Variables

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Exercise 3 Page 270

Use the Multiplication Property of Equality to eliminate the division.

x=6

Practice makes perfect

To solve the equation, we have to isolate x on one side. Using the Multiplication Property of Equality, we will multiply both sides of the equation by 3. This will eliminate the denominator of the fraction.

4x/3=8

LHS * 3=RHS* 3

4x/3* 3=8* 3

FracMultDenomToNumber

a/3* 3 = a

4x=8* 3

Multiply

4x=24

Now, we will use the Division Property of Equality to eliminate the multiplication and isolate x.

4x=24

.LHS /4.=.RHS /4.

4x/4=24/4

Cross out common factors

4x/4=24/4

CancelCommonFac

Cancel out common factors

x=24/4

Calculate quotient

x=6

Subchapter links

Try It p.266-268

Self-Assessment for Concepts & Skills p.268

Self-Assessment for Problem Solving p.269

Review & Refresh p.270

Concepts, Skills, & Problem Solving p.270-272