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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 49 Page 258

Use the Subtraction Property of Equality to eliminate the addition.

b=11

Practice makes perfect

To solve the equation, we have to isolate b on one side. First, let's simplify our equation. b+7 + 12=30 ⇒ b + 19 = 30Now, using the Subtraction Property of Equality, we will subtract 19 from both sides of the equation. This will eliminate the addition and isolate b.

b + 19 = 30

LHS-19=RHS-19

b + 19 -19= 30-19

Subtract term

b = 11

To check that this solution is correct, let's substitute b = 11 into the original equation and simplify.

b+7 + 12=30

b= 11

11 + 7 + 12 ? = 30

Add terms

30=30 ✓

Since the left-hand side and right-hand side are equal, b = 11 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