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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 33 Page 256

Use the Addition Property of Equality to eliminate the subtraction.

m = 3.7

Practice makes perfect

To solve the equation, we have to isolate m on one side. Using the Addition Property of Equality, we will add 2.5 to both sides of the equation. This will eliminate the subtraction and isolate m.

1.2 = m -2.5

LHS+2.5=RHS+2.5

1.2 +2.5= m -2.5+2.5

Add terms

3.7 = m

Rearrange equation

m = 3.7

To check that this solution is correct, let's substitute m = 3.7 into the original equation and simplify.

1.2 = m -2.5

m= 3.7

1.2 ? = 3.7 - 2.5

Subtract term

1.2=1.2 ✓

Since the left-hand side and right-hand side are equal, m = 3.7 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