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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 25 Page 256

Use the Addition Property of Equality to eliminate the subtraction.

r=22

Practice makes perfect

To solve the equation, we have to isolate r on one side. Using the Addition Property of Equality, we will add 14 to both sides of the equation. This will eliminate the subtraction and isolate r.

8 = r -14

LHS+14=RHS+14

8+14=r-14+14

Add terms

22 =r

Rearrange equation

r = 22

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

8 = r -14

r= 22

8 ? = 22 -14

Subtract term

8=8 ✓

Since the left-hand side and right-hand side are equal, r=22 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