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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

1. Solving Simple Equations

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Exercise 3 Page 4

Use the Addition Property of Equality to eliminate the constant on the left-hand side of the equation.

t=- 1/2

Practice makes perfect

To solve the equation, we have to isolate t on one side. Using the Addition Property of Equality, we will add 14 to both sides of the equation.

t-1/4=- 3/4

LHS+1/4=RHS+1/4

t-1/4+1/4=- 3/4+1/4

Add fractions

t=-2/4

a/b=.a /2./.b /2.

t=-1/2

To check that this solution is correct, let's substitute t= - 12 into the original equation and simplify.

t-1/4? =- 3/4

t= -1/2

-1/2-1/4? =- 3/4

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Simplify left-hand side

a/b=a * 2/b * 2

-1* 2/2* 2-1/4? =- 3/4

Multiply

-2/4-1/4? =- 3/4

Subtract fractions

- 3/4=- 3/4 ✓

Since the left-hand side and right-hand side are equal, t=- 12 is the correct solution.

Subchapter links

Try It p.4-6

Self-Assessment for Concepts & Skills p.6

Self-Assessment for Problem Solving p.7

Review & Refresh p.8

Concepts, Skills, & Problem Solving p.8-10