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Big Ideas Math: Modeling Real Life, Grade 8

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

3. Solving Equations with Variables on Both Sides

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Exercise 28 Page 23

Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.

No solution

Practice makes perfect

To solve an equation, we should first gather all of the variable terms on one side and all of the constant terms on the other side using the Properties of Equality.

1/2x+1/2x=x+1

Add fractions

2/2x=x+1

Calculate quotient

x=x+1

LHS-x=RHS-x

x-x=x+1-x

Subtract terms

0=1

Simplifying the equation resulted in a contradiction. Therefore, the equation has no solution.

Subchapter links

Try It p.18-20

Self-Assessment for Concepts & Skills p.20

Self-Assessment for Problem Solving p.21

Review & Refresh p.22

Concepts, Skills, & Problem Solving p.22-24