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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 15 Page 131

Use the Subtraction Property of Equality to eliminate the addition.

k=- 20

Practice makes perfect

To solve the equation, we have to isolate k on one side. Using the Subtraction Property of Equality, we will subtract 6 from both sides of the equation. This will eliminate the addition and isolate k.

- 14 = k + 6

LHS-6=RHS-6

- 14 - 6 = k + 6 - 6

Subtract term

- 20 = k

Rearrange equation

k = - 20

To check that this solution is correct, let's substitute k=- 20 into the original equation and simplify.

- 14 = k + 6

k= - 20

- 14 ? = - 20 + 6

Add terms

- 14 = - 14 ✓

Since the left-hand side and right-hand side are equal, k=- 20 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