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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 32 Page 256

Use the Subtraction Property of Equality to eliminate the addition.

x = 7/30

Practice makes perfect

To solve the equation, we have to isolate x on one side. Using the Subtraction Property of Equality, we will subtract 23 from both sides of the equation. This will eliminate the addition and isolate x.

x + 2/3 = 9/10

LHS-2/3=RHS-2/3

x + 2/3 -2/3= 9/10-2/3

▼

Solve for x

Subtract fractions

x = 9/10 - 2/3

a/b=a * 3/b * 3

x = 9* 3/10* 3 - 2/3

a/b=a * 10/b * 10

x = 9* 3/10* 3 - 2*10/3* 10

Multiply

x = 27/30 - 20/30

Subtract fractions

x = 7/30

To check that this solution is correct, let's substitute x = 730 into the original equation and simplify.

x + 2/3 = 9/10

x= 7/30

7/30 + 2/3 ? = 9/10

▼

Simplify right-hand side

a/b=a * 10/b * 10

7/30 + 2* 10/3* 10 ? =9/10

Multiply

7/30 + 20/30 ? =9/10

Add fractions

27/30 ? =9/10

a/b=.a /3./.b /3.

27÷ 3/30÷ 3 ? =9/10

Simplify quotient

9/10 = 9/10 ✓

Since the left-hand side and right-hand side are equal, x = 730 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