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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 4 Page 270

Use the Multiplication Property of Equality to eliminate the division.

x=15

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 5. This will eliminate the denominator of the fraction.

2/5x=6

MoveRightFacToNum

a/c* b = a* b/c

2x/5=6

LHS * 5=RHS* 5

2x/5* 5=6* 5

FracMultDenomToNumber

a/5* 5 = a

2x=6* 5

Multiply

2x=30

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

2x=30

.LHS /2.=.RHS /2.

2x/2=30/2

Cross out common factors

2x/2=30/2

CancelCommonFac

Cancel out common factors

x=30/2

Calculate quotient

x=15

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