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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 10 Page 254

Use the Subtraction Property of Equality to eliminate the addition.

m = 7

Practice makes perfect

To solve the equation, we have to isolate m on one side. Using the Subtraction Property of Equality, we will subtract 13 from both sides of the equation. This will eliminate the addition and isolate m.

13 + m = 20

LHS-13=RHS-13

13 + m -13 = 20 - 13

CommutativePropAdd

Commutative Property of Addition

m + 13-13 = 20- 13

Subtract term

m = 7

To check that this solution is correct, let's substitute m=7 into the original equation and simplify.

13 + m = 20

m= 7

13 + 7 ? = 20

Add terms

20 = 20 ✓

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