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Big Ideas Math: Modeling Real Life, Grade 7

BI

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

4. Writing and Graphing Inequalities

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Exercise 3 Page 149

Use the Addition Property of Equality to eliminate the subtraction.

x=- 7

Practice makes perfect

To solve the equation, we have to isolate x on one side. Using the Addition Property of Equality, we will add 2 to both sides of the equation. This will eliminate the subtraction and isolate x.

x - 2 = - 9

LHS+2=RHS+2

x - 2 + 2 = - 9 + 2

Add terms

x = - 7

To check that this solution is correct, let's substitute x = - 7 into the original equation and simplify.

x - 2 = - 9

x= - 7

- 7 - 2 ? = - 9

Subtract term

- 9 = - 9 ✓

Since the left-hand side and right-hand side are equal, x = - 7 is the correct solution.

Subchapter links

Try It p.146-147

Self-Assessment for Concept & Skills p.147

Self-Assessment for Problem Solving p.148

Review & Refresh p.149

Concept, Skills, & Problem Solving p.149-150