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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 19 Page 131

Use the Subtraction Property of Equality to eliminate the addition.

w=- 15.4

Practice makes perfect

To solve the equation, we have to isolate w on one side. Using the Subtraction Property of Equality, we will subtract 5.3 from both sides of the equation. This will eliminate the addition and isolate w.

- 10.1 = w + 5.3
SubEqn

LHS-5.3=RHS-5.3

- 10.1 - 5.3 = w + 5.3 - 5.3
SubTerm

Subtract term

- 15.4 = w
RearrangeEqn

Rearrange equation

w = - 15.4

To check that this solution is correct, let's substitute w=- 15.4 into the original equation and simplify.

- 10.1 = w + 5.3
Substitute

w= - 15.4

- 10.1 ? = - 15.4 + 5.3
AddTerms

Add terms

- 10.1 = - 10.1 ✓

Since the left-hand side and right-hand side are equal, w=- 15.4 is the correct solution.

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arrow_right Try It p.128-129
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Try It 2 (Page 128)
Try It 3 (Page 128)
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arrow_right Self-Assessment for Concept & Skills p.129
Self-Assessment for Concept & Skills 5 (Page 129)
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Self-Assessment for Concept & Skills 7 (Page 129)
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arrow_right Self-Assessment for Problem Solving p.130
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arrow_right Review & Refresh p.131
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