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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 29 Page 256

Use the Addition Property of Equality to eliminate the subtraction.

f= 46

Practice makes perfect

To solve the equation, we have to isolate f on one side. Using the Addition Property of Equality, we will add 27 to both sides of the equation. This will eliminate the subtraction and isolate f.

f-27=19

LHS+27=RHS+27

f-27+27=19+27

Add terms

f=46

To check that this solution is correct, let's substitute f= 46 into the original equation and simplify.

f - 27 = 19

f= 46

46 - 27? = 19

Subtract term

19 = 19 ✓

Since the left-hand side and right-hand side are equal, f= 46 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