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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 14 Page 131

Use the Addition Property of Equality to eliminate the subtraction.

z=5

Practice makes perfect

To solve the equation, we have to isolate z on one side. Using the Addition Property of Equality, we will add 8 to both sides of the equation. This will eliminate the subtraction and isolate z.

- 3 = z - 8

LHS+8=RHS+8

- 3 + 8 = z - 8 + 8

Add terms

5 = z

Rearrange equation

z = 5

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

- 3 = z - 8

z= 5

- 3 ? = 5 - 8

Subtract term

- 3 = - 3 ✓

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