Rearranging Formulas and Proportions (MA.912.AR.1.2)

Rearranging Formulas

Proportions

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Solve for x given $\frac{x-c}{2}=d$

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Solve $\frac{3}{x+4}=\frac{2}{x-4}$

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Write an equation that represents 12x-3y=24 solved for y.

Multiple Choice

Which equation represnets 2a-3b=6, solved for a?

• $$a=\frac{6+3b}{2}$$

• $$a=12+6b$$

• $$a=\frac{2b-6}{3}$$

• $$a=\frac{6-2b}{3}$$

Multiple Choice

Given the equation $$A=B+C^2D$$ , which of the following is the correct expression for D?

• $$A-B-C^2$$

• $$A+B+C^2$$

• $$\frac{A-B}{C^2}$$

• $$\frac{C^2}{A-B}$$

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In November 2010 the average cost of 5 gallons of gasoline was $14.46. What was the average cost of 16 gallons of gasoline?

Multiple Choice

Solve $$A=\frac{1}{2}\left(b+c\right)h$$ for c.

• $$c=\frac{h}{2a}-b$$

• $$c=2ah-b$$

• $$c=\frac{2a}{h}-b$$

• $$c=2h\left(a-b\right)$$