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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 22 Page 9

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

x=5

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 7. This will eliminate the coefficient of x and isolate it on the left-hand side of the equation.

7x=35

.LHS /7.=.RHS /7.

7x/7=35/7

a/b=.a /7./.b /7.

x/1=5/1

a/1=a

x=5

To check that this solution is correct, let's substitute x= 5 into the original equation and simplify.

7x=35

x= 5

7( 5)? =35

Multiply

35=35 ✓

Since the left-hand side and right-hand side are equal, x=5 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