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Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
1. Solving Equations Using Addition or Subtraction
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Exercise 7 Page 129

Use the Addition Property of Equality to eliminate the subtraction.

w=5/3

Practice makes perfect

To solve the equation, we have to isolate w on one side. Using the Addition Property of Equality, we will add 73 to both sides of the equation. This will eliminate the subtraction and isolate w.

- 2/3 = w - 7/3
AddEqn

LHS+7/3=RHS+7/3

- 2/3 + 7/3= w - 7/3 + 7/3
MoveNegFracToNum

Put minus sign in numerator

-2/3 + 7/3= w - 7/3 + 7/3
AddFrac

Add fractions

- 2 + 7/3 = w
AddTerms

Add terms

5/3 = w
RearrangeEqn

Rearrange equation

w = 5/3

To check that this solution is correct, let's substitute w= 53 into the original equation and simplify.

- 2/3 = w - 7/3
Substitute

w= 5/3

- 2/3? = 5/3 - 7/3
SubFrac

Subtract fractions

- 2/3 = - 2/3 ✓

Since the left-hand side and right-hand side are equal, w= 53 is the correct solution.

Subchapter links expand_more
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)
Self-Assessment for Concept & Skills 6 (Page 129)
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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