Question 1

Solve the equation.
-

Accepted Answer

A)  12 ,15 
B)  - 12 ,- 15 
C)  12 ,- 15 
D)  - 12 ,15

Question 2

Solve the problem.
-Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 285 miles in the same time that Dana travels 260 miles. If Chuck's rate of travel is 5 mph more than Dana's, and they travel the same length of time, at
What speed does Chuck travel?

Accepted Answer

A)  57 mph 
B)  59 mph 
C)  52 mph 
D)  55 mph

Question 3

Perform the indicated operation. Simplify, if possible.
-

Accepted Answer

A)   
B)  4 
C)   
D)

Question 4

Solve the equation.
-

Accepted Answer

A)  -13 
B)   
C)  52 
D)  13

Question 5

Simplify.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 6

Solve.
-The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. If a 12-kg object stretches a spring 57 cm, find the distance when the weight is 9-kg. Round to the nearest
Hundredths when necessary.

Accepted Answer

A)  78 cm 
B)  1.89 cm 
C)  4.75 cm 
D)  42.75 cm

Question 7

Solve the problem.
-To determine the number of fish in a lake, a park ranger catches 200 fish, tags them, and returns them to the lake. Later, 108 fish are caught, and it is found that 48 of them are tagged. Estimate the number of fish in the
Lake.

Accepted Answer

A)  1,036,800 
B)  26 
C)  450 
D)  89

Question 8

Find an equation of variation in which the following are true.
-y varies jointly as x and z, and y = 120 when x = 8 and z = 3

Accepted Answer

A)   
B)  y = 7xz 
C)  y = 5xz 
D)  y = 15x

Question 9

Find all numbers for which the rational expression is not defined.
-

Accepted Answer

A)  x = -4 and x = 6 
B)  x = 4 and x = -4 
C)  x = 4 and x = -6 
D)  x = 0

Question 10

Subtract. Simplify, if possible.
-

Accepted Answer

A)   
B)  5 
C)   
D)

Question 11

Solve.
-The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 2-m beam can support 580 kg. How many kilograms can a 5-m beam support?

Accepted Answer

A)  0.0172 kg 
B)  58 kg 
C)  0.0043 kg 
D)  232 kg

Question 12

Subtract. Simplify, if possible.
-

Accepted Answer

A)   
B)   
C)  2x + 10 
D)

Question 13

Simplify.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 14

Solve.
-The number G of gears a machine can make varies directly as the time T it operates. If it can make 5155 gears in 19 hours, how many gears can it make in 3 hours?

Accepted Answer

A)  813.95 gears 
B)  5177 gears 
C)  0.0111 gears 
D)  271.32 gears

Question 15

Find an equation of variation in which the following are true.
-y varies directly as x and inversely as z, and y = 18 when x = 2 and z = 9.

Accepted Answer

A)   
B)   
C)  y = 84xz 
D)

Question 16

Find the reciprocal.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 17

Solve the equation.
-

Accepted Answer

A)  8 
B)  -8, 8 
C)  No solution 
D)  -8

Question 18

Solve the problem.
-Sven can type 39 words per minute. How many words would he type in  hour (15 minutes)?

Accepted Answer

A)  10 words 
B)  146 words 
C)  156 words 
D)  585 words

Question 19

Solve the problem.
-Frank can type a report in 2 hours and James takes 7 hours. How long will it take the two of them typing together?

Accepted Answer

A)  7 hr 
B)   
C)   
D)

Question 20

Find the reciprocal.
-

Accepted Answer

A)   
B)   
C)   
D)

Exam 7: Rational Expressions and Equations

Solve the equation. -

Solve the problem. -Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 285 miles in the same time that Dana travels 260 miles. If Chuck's rate of travel is 5 mph more than Dana's, and they travel the same length of time, at What speed does Chuck travel?

Perform the indicated operation. Simplify, if possible. -

Solve the equation. -

Simplify. -

Solve. -The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. If a 12-kg object stretches a spring 57 cm, find the distance when the weight is 9-kg. Round to the nearest Hundredths when necessary.

Solve the problem. -To determine the number of fish in a lake, a park ranger catches 200 fish, tags them, and returns them to the lake. Later, 108 fish are caught, and it is found that 48 of them are tagged. Estimate the number of fish in the Lake.

Find an equation of variation in which the following are true. -y varies jointly as x and z, and y = 120 when x = 8 and z = 3

Find all numbers for which the rational expression is not defined. -

Subtract. Simplify, if possible. -

Solve. -The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 2-m beam can support 580 kg. How many kilograms can a 5-m beam support?

Subtract. Simplify, if possible. -

Simplify. -

Solve. -The number G of gears a machine can make varies directly as the time T it operates. If it can make 5155 gears in 19 hours, how many gears can it make in 3 hours?

Find an equation of variation in which the following are true. -y varies directly as x and inversely as z, and y = 18 when x = 2 and z = 9.

Find the reciprocal. -

Solve the equation. -

Solve the problem. -Sven can type 39 words per minute. How many words would he type in hour (15 minutes) ?

Solve the problem. -Frank can type a report in 2 hours and James takes 7 hours. How long will it take the two of them typing together?

Find the reciprocal. -