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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 2 Page 149

Use the Subtraction Property of Equality to eliminate the addition.

w=- 3.6

Practice makes perfect

To solve the equation, we have to isolate w on one side. Using the Subtraction Property of Equality, we will subtract 8.7 from both sides of the equation. This will eliminate the addition and isolate w.

8.7 + w = 5.1

LHS-8.7=RHS-8.7

8.7 + w - 8.7 = 5.1 - 8.7

CommutativePropAdd

Commutative Property of Addition

w + 8.7 - 8.7 = 5.1 - 8.7

Add terms

w = - 3.6

To check that this solution is correct, let's substitute w = - 3.6 into the original equation and simplify.

8.7 + w = 5.1

w= - 3.6

8.7 + ( - 3.6) ? = 5.1

Subtract term

5.1 = 5.1 ✓

Since the left-hand side and right-hand side are equal, w = - 3.6 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