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Big Ideas Math: Modeling Real Life, Grade 6

BI

Big Ideas Math: Modeling Real Life, Grade 6 View details

2. Solving Equations Using Addition or Subtraction

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Exercise 52 Page 258

Use the Addition Property of Equality to eliminate the subtraction.

v=28

Practice makes perfect

To solve the equation, we have to isolate v on one side. First, let's simplify our equation. v-7=9+12 ⇒ v-7=21Now, using the Addition Property of Equality, we will add 7 to both sides of the equation. This will eliminate the subtraction and isolate v.

v-7 = 21

LHS+7=RHS+7

v-7+7=21+7

Add terms

v=28

To check that this solution is correct, let's substitute v=28 into the original equation and simplify.

v-7=9+12

v= 28

28 - 7? =9+12

Add and subtract terms

21=21 ✓

Since the left-hand side and right-hand side are equal, v=28 is the correct solution.

Subchapter links

Try It p.252-254

Self-Assessment for Concepts & Skills p.254

Self-Assessment for Problem Solving p.255

Review & Refresh p.256

Concepts, Skills, & Problem Solving p.256-258