Question 1

Divide.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 2

Solve the problem.
-The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer finishes a race in 37.5 seconds with an average speed of 4 feet per second. Find the
Average speed of the swimmer if it takes him 25 seconds to finish the race.

Accepted Answer

A)  7 ft/sec 
B)  5 ft/sec 
C)  6 ft/sec 
D)  8 ft/sec

Question 3

Divide.
-

Accepted Answer

A)   
B)   
C)  1 
D)

Question 4

Simplify.
-

Accepted Answer

A)   
B)   
C)  1 
D)

Question 5

Simplify.
-

Accepted Answer

A)   
B)   
C)   
D)  4

Question 6

Solve the problem and answer the question.
-Julie and Eric row their boat (at a constant speed) 40 miles downstream for 4 hours, helped by the current. Rowing at the same rate, the trip back against the current takes 10 hours. Find the rate of the current.

Accepted Answer

A)  2.5 mph 
B)  4 mph 
C)  3 mph 
D)  7 mph

Question 7

Solve the problem.
-The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. A measuring device is calibrated to give  when T = 460°C and  What is the volume on this
Device when the temperature is 380°C and the pressure is

Accepted Answer

A)   
B)   
C)   
D)  V = 112 in3

Question 8

Solve the problem and answer the question.
-A twin-engined aircraft can fly 1600 miles from city A to city B in 5 hours with the wind and make the return trip in 8 hours against the wind. What is the speed of the wind?

Accepted Answer

A)  80 mph 
B)  40 mph 
C)  100 mph 
D)  60 mph

Question 9

Solve the problem and answer the question.
-One pump can drain a pool in 10 minutes. When a second pump is also used, the pool only takes 5 minutes to drain. How long would it take the second pump to drain the pool if it were the only pump in use?

Accepted Answer

A)  45 min 
B)  10 min 
C)   
D)

Question 10

Simplify.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 11

Add or subtract.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 12

Add or subtract.
-

Accepted Answer

A)   
B)   
C)   
D)  1

Question 13

Add or subtract.
-

Accepted Answer

A)  x + 5 
B)  x - 6 
C)  x + 6 
D)  x - 5

Question 14

Simplify.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 15

Find the quantity indicated.
-h varies jointly as f and g. Find h when f = 18, g = 13, and k = 3.

Accepted Answer

A)  h = 702 
B)   
C)  h = 234 
D)  h = 78

Question 16

Solve the problem.
-When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 414 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new
Pressure of the gas if the volume is decreased to 69 cubic inches.

Accepted Answer

A)   
B)   
C)   
D)

Question 17

Add or subtract.
-

Accepted Answer

A)  1 
B)  -1 
C)  0 
D)  undefined

Question 18

Add or subtract.
-15mz + 5m4

Accepted Answer

A)  60z4+m5m2 
B)   
C)   
D)

Question 19

Simplify.
-

Accepted Answer

A)  0 
B)  -1 
C)  -m 
D)  1

Question 20

Find the least common denominator for the expression.
-

Accepted Answer

A)   
B)  r(r + 5) 
C)   
D)  r(r + 1)(r + 5)

Exam 7: Rational Expressions and Equations

Divide. -

Divide. -

Simplify. -

Simplify. -

Solve the problem and answer the question. -Julie and Eric row their boat (at a constant speed) 40 miles downstream for 4 hours, helped by the current. Rowing at the same rate, the trip back against the current takes 10 hours. Find the rate of the current.

Solve the problem. -The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. A measuring device is calibrated to give when T = 460°C and What is the volume on this Device when the temperature is 380°C and the pressure is

Solve the problem and answer the question. -A twin-engined aircraft can fly 1600 miles from city A to city B in 5 hours with the wind and make the return trip in 8 hours against the wind. What is the speed of the wind?

Solve the problem and answer the question. -One pump can drain a pool in 10 minutes. When a second pump is also used, the pool only takes 5 minutes to drain. How long would it take the second pump to drain the pool if it were the only pump in use?

Simplify. -

Add or subtract. -

Add or subtract. -

Add or subtract. -

Simplify. -

Find the quantity indicated. -h varies jointly as f and g. Find h when f = 18, g = 13, and k = 3.

Add or subtract. -

Add or subtract. -15mz + 5m4

Simplify. -

Find the least common denominator for the expression. -