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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

Chapter Review

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Exercise 3 Page 33

Use the Multiplication Property of Equality to eliminate the division.

t = 12π

Practice makes perfect

To solve the equation, we have to isolate t on one side. Using the Multiplication Property of Equality, we will multiply both sides of the equation by - 4. This will eliminate the denominator and the negative sign of the fraction and isolate t.

- t/4 = - 3π

LHS * (- 4)=RHS* (- 4)

- t/4 * (- 4) = - 3π * (- 4)

MultNegNegOnePar

- a(- b)=a* b

t/4 * 4 = 3π * 4

FracMultDenomToNumber

a/4* 4 = a

t = 3π * 4

Multiply

t = 12π

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

- t/4=- 3π

t= 12π

- 12π/4? =- 3π

a/b=1/b* a

- 12/4π ? =- 3π

Calculate quotient

- 3π = - 3π ✓

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

Subchapter links

1 Solving Simple Equations p.33

2 Solving Multi-Step Equations p.34

3 Solving Equations with Variables on Both Sides p.34-35

4 Rewriting Equations and Formulas p.35