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Big Ideas Math: Modeling Real Life, Grade 6

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

2. Solving Equations Using Addition or Subtraction

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Exercise 54 Page 258

Use the Addition Property of Equality to eliminate the subtraction.

d=54

Practice makes perfect

To solve the equation, we have to isolate d on one side. First, let's simplify our equation. 22+15=d-17 ⇒ 37=d-17Now, using the Addition Property of Equality, we will add 17 to both sides of the equation. This will eliminate the subtraction and isolate d.

37=d-17

LHS+17=RHS+17

37+17=d-17+17

Add terms

54=d

Rearrange equation

d=54

To check that this solution is correct, let's substitute d=54 into the original equation and simplify.

22+15=d-17

d= 54

22+15? = 54-17

Add and subtract terms

37=37 ✓

Since the left-hand side and right-hand side are equal, d=54 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