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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 30 Page 9

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

d=4

Practice makes perfect

To solve the equation, we have to isolate d on one side. Using the Division Property of Equality, we will divide both sides of the equation by 3π. This will eliminate the coefficient of d and isolate it on the left-hand side of the equation.

3π d=12π

.LHS /3π.=.RHS /3π.

3π d/3π=12π/3π

Factor out 3π

3π d/3π=3π(4)/3π

a/b=.a /3π./.b /3π.

d/1=4/1

a/1=a

d=4

To check that this solution is correct, let's substitute d= 4 into the original equation and simplify.

3π d=12π

d= 4

3π( 4)? =12π

CommutativePropMult

Commutative Property of Multiplication

3(4)π? =12π

Multiply

12π=12π ✓

Since the left-hand side and right-hand side are equal, d=4 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