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Big Ideas Math: Modeling Real Life, Grade 7

BI

Big Ideas Math: Modeling Real Life, Grade 7 View details

1. Solving Equations Using Addition or Subtraction

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Exercise 24 Page 131

Use the Addition Property of Equality to eliminate the subtraction.

x=- 13.53

Practice makes perfect

To solve the equation, we have to isolate x on one side. Using the Addition Property of Equality, we will add 5.2 to both sides of the equation. This will eliminate the subtraction and isolate x.

x - 5.2 = - 18.73

LHS+5.2=RHS+5.2

x - 5.2 + 5.2 = - 18.73 + 5.2

Add terms

x = - 13.53

To check that this solution is correct, let's substitute x=- 13.53 into the original equation and simplify.

x - 5.2 = - 18.73

x= - 13.53

- 13.53 - 5.2 ? =- 18.73

Subtract term

- 18.73 = - 18.73 ✓

Since the left-hand side and right-hand side are equal, x=- 13.53 is the correct solution.

Subchapter links

Try It p.128-129

Self-Assessment for Concept & Skills p.129

Self-Assessment for Problem Solving p.130

Review & Refresh p.131

Concept, Skills, & Problem Solving p.131-132