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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 53 Page 258

Use the Subtraction Property of Equality to eliminate the addition.

r=47

Practice makes perfect

To solve the equation, we have to isolate r on one side. First, let's simplify our equation. 5+44=2+r ⇒ 49 = 2+rNow, using the Subtraction Property of Equality, we will subtract 2 from both sides of the equation. This will eliminate the addition and isolate r.

49 = 2+r

LHS-2=RHS-2

49 -2= 2+r-2

CommutativePropAdd

Commutative Property of Addition

49-2=r+2-2

Subtract term

47=r

Rearrange equation

r = 47

To check that this solution is correct, let's substitute r = 47 into the original equation and simplify.

5+44=2+r

r= 47

5+44 ? = 2+ 47

Add terms

49=49 ✓

Since the left-hand side and right-hand side are equal, r = 47 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