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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 16 Page 131

Use the Subtraction Property of Equality to eliminate the addition.

x = - 18

Practice makes perfect

To solve the equation, we have to isolate x on one side. Using the Subtraction Property of Equality, we will subtract 4 from both sides of the equation. This will eliminate the addition and isolate x.

x + 4 = - 14

LHS-4=RHS-4

x + 4 - 4 = - 14 - 4

Subtract term

x = - 18

To check that this solution is correct, let's substitute x = - 18 into the original equation and simplify.

x + 4 = - 14

x= - 18

- 18 + 4 ? = - 14

Add terms

- 14 = - 14 ✓

Since the left-hand side and right-hand side are equal, x = - 18 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