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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 34 Page 256

Use the Subtraction Property of Equality to eliminate the addition.

a = 11.8

Practice makes perfect

To solve the equation, we have to isolate a on one side. Using the Subtraction Property of Equality, we will subtract 5.5 from both sides of the equation. This will eliminate the addition and isolate a.

a+5.5=17.3

LHS-5.5=RHS-5.5

a+5.5-5.5=17.3-5.5

Subtract term

a=11.8

To check that this solution is correct, let's substitute a = 11.8 into the original equation and simplify.

a + 5.5 = 17.3

a= 11.8

11.8 + 5.5 ? = 17.3

Add terms

17.3=17.3 ✓

Since the left-hand side and right-hand side are equal, a = 11.8 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