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Big Ideas Math: Modeling Real Life, Grade 6
BI
Big Ideas Math: Modeling Real Life, Grade 6 View details
7. Writing and Graphing Inequalities
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Exercise 5 Page 388

Use the Addition Property of Equality to eliminate the subtraction.

x=14

Practice makes perfect

We will solve the equation by isolating x on one side. We can use the Addition Property of Equality to add 6 to both sides of the equation. This will eliminate the subtraction and isolate x. Let's do it!

x-6=8
AddEqn

LHS+6=RHS+6

x-6 + 6 = 8+ 6
AddTerms

Add terms

x = 14

Now we want to check our answer and make sure our solution is correct. Let's substitute x=14 into the original equation and simplify.

x - 6 = 8
Substitute

x= 14

14-6=8
SubTerm

Subtract term

8=8 ✓

Since the left-hand side and right-hand side are equal, x=14 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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Try It 2 (Page 384)
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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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