Free Printable Solve Rational Inequalities & Variation Equations

1.

What kind of equation is this?
xy=8

a)

Linear Equation

b)

Direct Variation

c)

Inverse Variation

d)

Joint Variation

2.

Classify the equation:
15x=3y

a)

Direct Variation

b)

Inverse Variation

c)

Joint Variation

d)

Linear Equation

3.

Write the equation for the table given.

a)

y = 1/3x

b)

y = 3x

c)

y = 1/2x

4.

What is the constant (k) in this inverse variation?

a)

12

b)

24

c)

48

d)

Not enough information given

5.

In a direct variation, y=39 when x=3. Find the value of y when x=2.

a)

26

b)

3

c)

58.5

d)

2

6.

Find an equation that relates x and y inversely given that

y = 5 when x = 4.

a)

y = 20 / x

b)

y = 5 / x

c)

y = 5x

d)

y = 20x

7.

The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

a)

$2

b)

$308

c)

$1.57

d)

$265

8.

Karen earns $28.50 for working six hours. If the amount she earns varies directly with the number of hours she works, how much will she earn for working 10 hours?

a)

$47.50

b)

$17.10

c)

$54.75

d)

$45.55

9.

The number of gallons of fuel used on a trip varies directly with the number of miles traveled.
If a trip of 270 miles required 12 gallons of fuel,
how many gallons are required for a trip of 405 miles?

a)

8 gallons

b)

10 gallons

c)

17.8 gallons

d)

18 gallons

10.

The time to complete a project varies inversely with the number of employees.
If 3 people can complete the project in 7 days, how long will it take 5 people?

a)

12 days

b)

4.2 days

c)

6.2 days

d)

10 days

11.

The time needed to travel a certain distance varies inversely with the rate of speed.
If it takes 8 hours to travel a certain distance at 36 miles per hour, how long will it take to travel the same distance at 60 miles per hour?

a)

4.8 hours

b)

5.8 hours

c)

6.8 hours

d)

7.8 hours

12.

The volume V of a gas kept at a constant temperature varies inversely as the pressure p.
If the pressure is 24 pounds per square inch, the volume is 15 cubic feet.
What will be the volume when the pressure is 30 pounds per square inch?

a)

8 cubic feet

b)

10 cubic feet

c)

12 cubic feet

d)

14 cubic feet

13.

Y varies directly to the square of z and inversely to w.

a)

y = az²/w

b)

y = az/w

c)

y = w/az²

d)

y = w/az

14.

y varies directly as the square of x and inversely with z. If y is 8 when x is 4 and z is 6, find y when x is 8 and z is 4.

a)

3

b)

12

c)

48

d)

64

15.

a)

(-2,2)

b)

$\left(-\infty,\ -2\right)\cup\left(2,\ \infty\right)$

c)

[-2,2]

d)

$\left(\infty,\ -2\right)\cup\left(2,\ -\infty\right)$

16.

Solve for x:
$\frac{3x-7}{x+2}>1$

a)

$\left(-2,\ \frac{9}{2}\right)$

b)

$\left(-\infty,-2\right)\cup\left(\frac{9}{2},\ \infty\right)$

c)

$\left(-\infty,-2\right)\cup\left(\frac{7}{3},\ \infty\right)$

d)

$\left(-2,\ \frac{7}{3}\right)$

17.

a)

$\left[0,3\right)$

b)

$\left(0,3\right]$

c)

$\left(-\infty,3\right]$

d)

$\left(-\infty,0\right)$

18.

Subtract

a)

A

b)

B

c)

C

d)

D

19.

a)

A

b)

B

c)

C

20.

Solve and check for extraneous solutions

a)

x=5

b)

x= -5

c)

No Solution

Solve Rational Inequalities & Variation Equations

Total questions: 20

Worksheet time: 5hrs 0mins

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