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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 15 Page 131

Use the Subtraction Property of Equality to eliminate the addition.

k=- 20

Practice makes perfect

To solve the equation, we have to isolate k on one side. Using the Subtraction Property of Equality, we will subtract 6 from both sides of the equation. This will eliminate the addition and isolate k.

- 14 = k + 6
SubEqn

LHS-6=RHS-6

- 14 - 6 = k + 6 - 6
SubTerm

Subtract term

- 20 = k
RearrangeEqn

Rearrange equation

k = - 20

To check that this solution is correct, let's substitute k=- 20 into the original equation and simplify.

- 14 = k + 6
Substitute

k= - 20

- 14 ? = - 20 + 6
AddTerms

Add terms

- 14 = - 14 ✓

Since the left-hand side and right-hand side are equal, k=- 20 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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