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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

1. Solving Simple Equations

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Exercise 7 Page 5

Use the Division Property of Equality to eliminate the coefficient of x.

x=6

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 π. This will eliminate the coefficient of x and isolate it.

6 π=π x

.LHS /π.=.RHS /π.

6 π/π=π x/π

▼

Calculate quotient

a/b=.a /π./.b /π.

6/1=x/1

a/1=a

6=x

Rearrange equation

x=6

To check that this solution is correct, substitute x= 6 into the original equation and simplify.

6 π=π x

x= 6

6 π? =π ( 6)

CommutativePropMult

Commutative Property of Multiplication

6 π= 6 π ✓

Since the left-hand side and right-hand side are equal, x=6 is the correct solution.

Subchapter links

Try It p.4-6

Self-Assessment for Concepts & Skills p.6

Self-Assessment for Problem Solving p.7

Review & Refresh p.8

Concepts, Skills, & Problem Solving p.8-10