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Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
7. Writing and Graphing Inequalities
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Exercise 7 Page 388

Use the Division Property of Equality to eliminate the multiplication.

x=9

Practice makes perfect

We will solve the equation by isolating x on one side. We can use the Division Property of Equality to divide both sides of the equation by 8. This will eliminate the multiplication and isolate x. Let's do it!

8x = 72
DivEqn

.LHS /8.=.RHS /8.

8x/8 = 72/8
MovePartNumRight

a* b/c=a/c* b

8/8x = 72/8
QuotOne

a/a=1

1x = 72/8
IdPropMult

Identity Property of Multiplication

x = 72/8
CalcQuot

Calculate quotient

x = 9

Now we want to check our answer and make sure our solution is correct. Let's substitute x=9 into the original equation and simplify.

8x = 72
Substitute

x= 9

8 ( 9) ? = 72
Multiply

Multiply

72=72 ✓

Since the left-hand side and right-hand side are equal, x=9 is the correct solution.

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 ac= bc.

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arrow_right Try It p.384-386
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Try It 2 (Page 384)
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Try It 8 (Page 386)
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arrow_right Self-Assessment for Concepts & Skills p.386
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arrow_right Self-Assessment for Problem Solving p.387
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