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Big Ideas Math: Modeling Real Life, Grade 7

BI

Big Ideas Math: Modeling Real Life, Grade 7 View details

5. Solving Inequalities Using Addition or Subtraction

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Exercise 6 Page 155

Use the Division Property of Equality to eliminate the multiplication.

b=- 22

Practice makes perfect

To solve the equation, we have to isolate b on one side. Using the Division Property of Equality, we will divide both sides of the equation by - 2. This will eliminate the multiplication and isolate b.

- 2b = 44

.LHS /- 2.=.RHS /- 2.

- 2b/- 2 = 44/- 2

- a/- b=a/b

2b/2 = 44/- 2

MoveNegDenomToFrac

Put minus sign in front of fraction

2b/2 = - 44/2

Calculate quotient

b = - 22

To check that this solution is correct, let's substitute b=- 22 into the original equation and simplify.

- 2b = 44

b= - 22

- 2* ( - 22) ? = 44

MultNegNegOnePar

- a(- b)=a* b

44 = 44 ✓

Since the left-hand side and right-hand side are equal, b=- 22 is the correct solution.

Subchapter links

Try It p.152-153

Self-Assessment for Concept & Skills p.153

Self-Assessment for Problem Solving p.154

Review & Refresh p.155

Concept, Skills, & Problem Solving p.155-156