Question 1

A boat travels 39 miles up the river in the same amount of time it takes to travel 51 miles down the same river. If the current is 2 miles per hour, what is the speed of the boat in still water? d r t Upstream Downstream

Accepted Answer

A) 12 miles per hour 
B) 15 miles per hour 
C) 7.5 miles per hour 
D) 11 miles per hour 
E) 2 miles per hour

Question 2

Suppose  varies directly as the square of  . If  when  find  when  is  .

Accepted Answer

The answer of Suppose  varies directly as the square...

Question 3

If  varies directly with  and if  when  find  when  is  .  = __________

Accepted Answer

The answer of If  varies directly with  and...

Question 4

One car travels 490 miles in the same amount of time it takes a second car traveling 5 miles per hour slower than the first to go 455 miles. What are the speeds of the cars? _____ , _____ miles per hour

Accepted Answer

The answer of One car travels 490 miles in the...

Question 5

Perform the indicated operation. Reduce your answer to lowest terms.

Accepted Answer

The answer of Perform the indicated operation. Reduce your answer...

Question 6

If  varies inversely with  and if  when  find  when  is 21.

Accepted Answer

A) 1 
B) 7 
C) 49 
D) 9 
E) 441

Question 7

Perform the indicated operation. Reduce your answer to lowest terms.

Accepted Answer

The answer of Perform the indicated operation. Reduce your answer...

Question 8

Perform the indicated operation.

Accepted Answer

The answer of Perform the indicated operation. ...

Question 9

Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.  a = __________

Accepted Answer

The answer of Solve the following equation. Be sure to...

Question 10

Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.  y = __________

Accepted Answer

The answer of Solve the following equation. Be sure to...

Question 11

Simplify the complex fraction.

Accepted Answer

The answer of Simplify the complex fraction. ...

Question 12

Complete the following table.

Accepted Answer

A)   
B)   
C)   
D)

Question 13

The tension t in a spring varies directly with the distance d the spring is stretched. If the tension is 41 pounds when the spring is stretched 7 inches, find the tension when the spring is stretched twice as far. __________ pounds

Accepted Answer

The answer of The tension t in a spring varies...

Question 14

Perform the indicated operation.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 15

Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 16

Solve the following equation. If impossible, answer no solution . Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.

Accepted Answer

The answer of Solve the following equation. If impossible, answer...

Question 17

Simplify the complex fraction.

Accepted Answer

The answer of Simplify the complex fraction. ...

Question 18

Simplify the complex fraction.

Accepted Answer

The answer of Simplify the complex fraction. ...

Question 19

A water tank can be filled in 12 hours by an inlet pipe and emptied in 30 hours by an outlet pipe. How long will it take to fill the tank if both pipes are left open?

Accepted Answer

A) 60 hours 
B) 21 hours 
C) 30 hours 
D) 42 hours 
E) 20 hours

Question 20

Assume  varies inversely with the square of  . If  when  find  when  is  .  = __________

Accepted Answer

The answer of Assume  varies inversely with the square...

Exam 7: Rational Expressions

A boat travels 39 miles up the river in the same amount of time it takes to travel 51 miles down the same river. If the current is 2 miles per hour, what is the speed of the boat in still water? d r t Upstream Downstream

Suppose varies directly as the square of . If when find when is .

If varies directly with and if when find when is . = __________

One car travels 490 miles in the same amount of time it takes a second car traveling 5 miles per hour slower than the first to go 455 miles. What are the speeds of the cars? _ , _ miles per hour

Perform the indicated operation. Reduce your answer to lowest terms.

If varies inversely with and if when find when is 21.

Perform the indicated operation. Reduce your answer to lowest terms.

Perform the indicated operation.

Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable. a = __________

Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable. y = __________

Simplify the complex fraction. $Simplify the complex fraction.$

Complete the following table.

The tension t in a spring varies directly with the distance d the spring is stretched. If the tension is 41 pounds when the spring is stretched 7 inches, find the tension when the spring is stretched twice as far. __________ pounds

Perform the indicated operation.

Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.

Solve the following equation. If impossible, answer no solution . Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.

Simplify the complex fraction. $Simplify the complex fraction.$

Simplify the complex fraction. $Simplify the complex fraction.$

A water tank can be filled in 12 hours by an inlet pipe and emptied in 30 hours by an outlet pipe. How long will it take to fill the tank if both pipes are left open?

Assume varies inversely with the square of . If when find when is . = __________