Question 1

Solve the equation.
-

Accepted Answer

A)  2, 5 
B)  0, 5 
C)  5 , 6 
D)  6 , 4

Question 2

Solve.
-The weight of a body above the surface of the earth varies inversely as the square of its distance from the center of the earth. What is the effect on the weight when the distance is multiplied by 2?

Accepted Answer

A)  The weight is divided by 2. 
B)  The weight is divided by 4. 
C)  The weight is multiplied by 4. 
D)  The weight is multiplied by 2.

Question 3

Subtract. Simplify, if possible.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 4

Solve the equation.
-

Accepted Answer

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

Question 5

Add. Simplify, if possible.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 6

Solve the equation.
-

Accepted Answer

A)  19 
B)  -1 
C)  1 
D)  -19

Question 7

Perform the indicated operation. Simplify, if possible.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 8

Find the LCM.
-n , 9 + n , 9 - n

Accepted Answer

A)   
B)   
C)  n + 9 
D)  n(9 + n)( 9 - n)

Question 9

Divide and simplify.
-

Accepted Answer

A)  2 
B)   
C)  -2 
D)  -4

Question 10

Solve.
-The number of miles per gallon of gasoline that a car averages varies inversely as the average speed the car travels. A car gets 26 miles per gallon at 39 mph. How many miles per gallon will it get at 67 mph?

Accepted Answer

A)  0.07 miles per gallon 
B)  0.02 miles per gallon 
C)  15.1 miles per gallon 
D)  44.7 miles per gallon

Question 11

Add. Simplify, if possible.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 12

Solve the problem.
-Fred bicycles 5 km/h slower than Samantha. In the time it takes Fred to bicycle 40 km, Samantha travels 60 km. How fast does Fred bicycle?

Accepted Answer

A)  15 km/h 
B)  20 km/h 
C)  5 km/h 
D)  10 km/h

Question 13

Find the LCM.
- + 9 x + 20, x2 + 2 x - 8

Accepted Answer

A)  (x - 5 )(x - 4 )(x - 2 ) 
B)  (x + 4 )(x - 2 ) 
C)  (x + 5 )(x + 4 ) 
D)  (x + 5 )(x + 4 )(x - 2 )

Question 14

Find the reciprocal.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 15

Solve.
-Wind resistance or atmospheric drag tends to slow down moving objects. Atmospheric drag varies jointly as an object's surface area A and velocity v. If a car traveling at a speed of 40 mph with a surface area of 38  experiences a drag of 182.4 N (Newtons), how fast must a car with 35  of surface area travel in order to Experience a drag force of 281.4 N?

Accepted Answer

A)  64 mph 
B)  72 mph 
C)  67 mph 
D)  69 mph

Question 16

Add. Simplify, if possible.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 17

Solve the problem.
-Tom Quig traveled 210 miles east of St. Louis. For most of the trip he averaged 60 mph, but for one period of time he was slowed to 10 mph due to a major accident. If the total time of travel was 6 hours, how many miles
Did he drive at the reduced speed?

Accepted Answer

A)  50 miles 
B)  25 miles 
C)  40 miles 
D)  30 miles

Question 18

Find the ratio. Simplify, if possible.
-If Alison's company charged $97.38 for 3 hours of work, how much did they charge per hour?

Accepted Answer

A)  $48.69/hour 
B)  $3.00/hour 
C)  $32.46/hour 
D)  $35.46/hour

Question 19

Multiply and, if possible, simplify.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 20

Write the word or phrase that best completes each statement or answers the question.
 
-Explain in your own words how to divide rational expressions. (How would you explain this to a student in this  class who was absent from class?).

Accepted Answer

The answer of Write the word or phrase that best...

Exam 7: Rational Expressions and Equations

Solve the equation. -

Solve. -The weight of a body above the surface of the earth varies inversely as the square of its distance from the center of the earth. What is the effect on the weight when the distance is multiplied by 2?

Subtract. Simplify, if possible. -

Solve the equation. -

Add. Simplify, if possible. -

Solve the equation. -

Perform the indicated operation. Simplify, if possible. -

Find the LCM. -n , 9 + n , 9 - n

Divide and simplify. -

Solve. -The number of miles per gallon of gasoline that a car averages varies inversely as the average speed the car travels. A car gets 26 miles per gallon at 39 mph. How many miles per gallon will it get at 67 mph?

Add. Simplify, if possible. -

Solve the problem. -Fred bicycles 5 km/h slower than Samantha. In the time it takes Fred to bicycle 40 km, Samantha travels 60 km. How fast does Fred bicycle?

Find the LCM. - + 9 x + 20, x2 + 2 x - 8

Find the reciprocal. -

Add. Simplify, if possible. -

Solve the problem. -Tom Quig traveled 210 miles east of St. Louis. For most of the trip he averaged 60 mph, but for one period of time he was slowed to 10 mph due to a major accident. If the total time of travel was 6 hours, how many miles Did he drive at the reduced speed?

Find the ratio. Simplify, if possible. -If Alison's company charged $97.38 for 3 hours of work, how much did they charge per hour?

Multiply and, if possible, simplify. -

Write the word or phrase that best completes each statement or answers the question. -Explain in your own words how to divide rational expressions. (How would you explain this to a student in this class who was absent from class?).