Unit 2c - Rearranging & Asymptotes

Many cylinders have a volume of 325 cm³.

Plug 325 in for the volume and write an equation for h in terms of r.

• $h\ =\ \frac{325}{\pi r^2}$

• $h\ =\ 325\pi r^2$

• $h\ =\ 325\pi$

• $h\ =\ \frac{325}{\pi}$

Carmen's aunt plans to bike 50 miles. Use the formula to write an equation for t in terms of r.

• $t\ =\ \frac{50}{r}$

• $t\ =\ 50r$

• $t\ =\ \frac{r}{50}$

• $t\ =\ \frac{100}{r}$

Many triangles have an area of 32 cm². Use the formula to write an equation for h in terms of b.

• $h\ =\ \frac{64}{b}$

• $h\ =\ \frac{32}{b}$

• $h\ =\ 32b$

• $h\ =\ 64b$

There are many cylinders with a volume of 74 in³. Use the volume and surface area formulas to write an equation for S in terms of r.

• $S\ =\ 2\pi r^2\ +\ \frac{128}{r}$

• $S\ =\ 2\pi r^2\ +\ \frac{74}{r}$

• $S\ =\ 2\pi r^2\ +\ 128$

• $S\ =\ 2\pi r^2\ +\ 74$

There are many cylinders with a volume of 206 in³. Use the volume and surface area formulas to write an equation for S in terms of r.

•  $S\ =\ 2\pi r^2\ +\ \frac{412}{r}$ 

•  $S\ =\ 2\pi r^2\ +\ \frac{206}{r}$ 

•  $S\ =\ 2\pi r^2\ +\ 206$ 

•  $S\ =\ 2\pi r^2\ +\ 412$ 

Use the given formulas to write an equation for z in terms of a, given y = 20.

• $z\ =\ 12x^2+\frac{100}{x}$

• $z\ =\ 240x^2\ +\ 5x$

• $z\ =\ 12x^{2\ }+20x$

• $z\ =\ 12x^2\ +\ \frac{20}{x}$

Use the given formulas to write an equation for z in terms of a, given y = 10

• $z\ =\ 25x^2-\frac{30}{x}$

• $z\ =\ 25x^2\ -\ 30x$

• $z\ =\ 75x^2\ -\ 3x$

• $z\ =\ 75x^2\ -\ \frac{30}{x}$

Identify the vertical asymptote:

 $a\left(x\right)\ =\ \frac{2}{x\ +9}$  

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Identify the vertical asymptote:

 $a\left(x\right)\ =\ \frac{-3}{x\ +4}$  

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Identify the vertical asymptote:

 $a\left(x\right)\ =\ \frac{1}{x\ -5}$  

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