Algebra 2 Chapter 8 Test

Practise Test

In the following exercises, simplify.

613.

$\frac{\mathrm{iii}{a}^{\mathrm{two}}b}{6a{b}^2}$

614 .

$\frac{\mathrm{v}b-25}{b^2-25}$

In the following exercises, perform the indicated operation and simplify.

615.

$\frac{4x}{\mathrm{ten}+2}·\frac{{\mathrm{ten}}^2+\mathrm{five}\mathrm{10}+6}{12x^{\mathrm{two}}}$

616 .

$\frac{\mathrm{v}y}{\mathrm{iv}y-8}·\frac{y^2-\mathrm{four}}{10}$

617.

$\frac{4}{pq}+\frac{5}{p}$

618 .

$\frac{1}{z-9}-\frac{3}{z+9}$

619.

$\frac{\frac{\mathrm{ii}}{\mathrm{iii}}+\frac{3}{5}}{\frac{2}{5}}$

620 .

$\frac{\frac{1}{m}-\frac{1}{\mathrm{north}}}{\frac{1}{\mathrm{northward}}+\frac{\mathrm{ane}}{m}}$

In the post-obit exercises, solve each equation.

621.

$\frac{\mathrm{ane}}{2}+\frac{2}{\mathrm{seven}}=\frac{1}{x}$

622 .

$\frac{5}{y-\mathrm{six}}=\frac{3}{y+6}$

623.

$\frac{1}{z-\mathrm{five}}+\frac{\mathrm{one}}{z+5}=\frac{\mathrm{i}}{z^2-25}$

625.

$\frac{\mathrm{ii}}{r-\mathrm{ii}}=\frac{3}{r-1}$

In the post-obit exercises, solve.

626 .

If $y$ varies directly with $\mathrm{ten},$ and $x=5$ when $y=\mathrm{thirty},$ find $x$ when $y=42.$

627.

If $y$ varies inversely with $x$ and $x=6$ when $y=20,$ find $y$ when $x=2.$

628 .

If $y$ varies inversely with the square of $\mathrm{10}$ and $x=\mathrm{iii}$ when $y=9,$ find $y$ when $x=4.$

629.

The recommended erythromycin dosage for dogs, is five mg for every pound the domestic dog weighs. If Daisy weighs 25 pounds, how many milligrams of erythromycin should her veterinarian prescribe?

630 .

Julia spent 4 hours Sunday afternoon exercising at the gym. She ran on the treadmill for 10 miles and and then biked for xx miles. Her biking speed was 5 mph faster than her running speed on the treadmill. What was her running speed?

631.

Kurt can ride his bike for 30 miles with the wind in the same amount of fourth dimension that he can go 21 miles against the current of air. If the wind's speed is half-dozen mph, what is Kurt'south speed on his bicycle?

632 .

Amanda jogs to the park 8 miles using one road and then returns via a 14-mile road. The return trip takes her ane hour longer than her jog to the park. Observe her jogging rate.

633.

An experienced window washer can wash all the windows in Mike'due south house in two hours, while a new trainee tin can wash all the windows in 7 hours. How long would information technology take them working together?

634 .

Josh can split a truckload of logs in 8 hours, but working with his dad they can get it done in iii hours. How long would it take Josh's dad working alone to split the logs?

635.

The toll that Tyler pays for gas varies directly with the number of gallons he buys. If 24 gallons price him $59.76, what would 30 gallons cost?

636 .

The volume of a gas in a container varies inversely with the pressure on the gas. If a container of nitrogen has a book of 29.five liters with 2000 psi, what is the volume if the tank has a fourteen.7 psi rating? Round to the nearest whole number.

637.

The cities of Dayton, Columbus, and Cincinnati grade a triangle in southern Ohio, as shown on the figure beneath, that gives the map distances betwixt these cities in inches.

The actual altitude from Dayton to Cincinnati is 48 miles. What is the actual distance between Dayton and Columbus?

Algebra 2 Chapter 8 Test,

Source: https://openstax.org/books/elementary-algebra-2e/pages/8-practice-test

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