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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 17 Page 131

Use the Addition Property of Equality to eliminate the subtraction.

g=- 10

Practice makes perfect

To solve the equation, we have to isolate g on one side. Using the Addition Property of Equality, we will add 9 to both sides of the equation. This will eliminate the subtraction and isolate g.

g - 9 = - 19

LHS+9=RHS+9

g - 9 + 9 = - 19 + 9

Add terms

g = - 10

To check that this solution is correct, let's substitute g=- 10 into the original equation and simplify.

g - 9 = - 19

g= - 10

- 10 - 9? =- 19

Subtract term

- 19 = - 19 ✓

Since the left-hand side and right-hand side are equal, g=- 10 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