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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 25 Page 131

Use the Subtraction Property of Equality to eliminate the addition.

q = 5/18

Practice makes perfect
To solve the equation, we have to isolate q on one side. Using the Subtraction Property of Equality, we will subtract 59 from both sides of the equation. This will eliminate the addition and isolate q.
q + 5/9 = 5/6
SubEqn

LHS-5/9=RHS-5/9

q + 5/9 - 5/9 = 5/6 - 5/9
SubTerm

Subtract term

q = 5/6 - 5/9
ExpandFrac

a/b=a * 3/b * 3

q = 15/18 - 5/9
ExpandFrac

a/b=a * 2/b * 2

q = 15/18 - 10/18
SubTerms

Subtract terms

q = 5/18
To check that this solution is correct, let's substitute q = 518 into the original equation and simplify.
q + 5/9 = 5/6
Substitute

q= 5/18

5/18 + 5/9 ? = 5/6
ExpandFrac

a/b=a * 2/b * 2

5/18 + 10/18 ? = 5/6
AddTerms

Add terms

15/18 ? = 5/6
ReduceFrac

a/b=.a /3./.b /3.

5/6 = 5/6 âś“
Since the left-hand side and right-hand side are equal, q = 518 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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