Question 1

Simplify.
-

Accepted Answer

A)   
B)   
C)   
D)    B

Question 2

Find the equation of variation if the following is true.
-Suppose m varies directly as p and m = 42 when p = 6.

Accepted Answer

A)   m = 36p
B)   
C)   m = 7p
D)   m = 48p C

Question 3

Find the LCM.
-

Accepted Answer

A)   
B)   
C)   
D)    B

Question 4

Solve.
-The cost of stainless steel tubing varies jointly as the length and the diameter of the tubing. If a 5 foot length with diameter 2 inches costs $48.00 , how much will a 9 foot length with diameter 4 inches cost?

Accepted Answer

A)   $172.80
B)   $170.40
C)   $178.10
D)   $178.37

Question 5

Add. Simplify, if possible.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 6

Solve the equation.
-

Accepted Answer

A)   
B)   - 10
C)   
D)

Question 7

Solve the equation.
-

Accepted Answer

A)   
B)   
C)   1
D)

Question 8

Divide and simplify.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 9

Find an equation of variation in which the following are true.
-y varies jointly as x and z and inversely as the product of w and p, and y =  when x = 5, z = 9, w = 8, and p = 5.

Accepted Answer

A)   
B)   
C)   
D)

Question 10

Subtract. Simplify, if possible.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 11

For the pair of similar triangles, find the length of the indicated side.
- In the outer triangle, the shortest side has length 8, and the middle side has length 10. In the inner triangle, the shortest side has length 4, the middle side has length 5, and the longest side has length 6. Find the length, x, of
The longest side of the outer triangle.

Accepted Answer

A)   x = 12
B)   x = 6
C)   x = 14
D)   x = 18

Question 12

Subtract. Simplify, if possible.
-

Accepted Answer

A)   
B)   
C)   
D)   0

Question 13

Find the equation of variation if the following is true.
-Suppose that y varies directly as z and y = 37 when z = 259.

Accepted Answer

A)   y = 7z
B)   y = -2z
C)   
D)

Question 14

Solve the problem.
-A quality-control inspector examined 300 calculators and found 7 of them to be defective. At this rate, how many defective calculators will there be in a batch of 6000 calculators?

Accepted Answer

A)   2100
B)   3
C)   140
D)   20

Question 15

Solve the equation.
-

Accepted Answer

A)   
B)   45
C)   15
D)   27

Question 16

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

Accepted Answer

A)   b = 24
B)   b = 0
C)   b = 4
D)   b = -6

Question 17

Write the word or phrase that best completes each statement or answers the question.
-Describe two ways in which multiplying by 1 is used in adding or subtracting using fractional notation.

Accepted Answer

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

Question 18

Write the word or phrase that best completes each statement or answers the question.
-Explain why the least common denominator of two (different) prime numbers is the product of the two numbers.

Accepted Answer

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

Question 19

Solve the problem.
-The Epson Stylus 850 can print Helen's class project in 24 minutes. The Epson Stylus 500 can print the project in 30 minutes. If the two printers work together, how long would they take to print out the project?

Accepted Answer

A)   9 minutes
B)   
C)   
D)   120 minutes

Question 20

Solve the problem.
-The ratio of the weight of an object on Mars to the weight of an object on Earth is 0.4 to 1. How much will a 160-pound astronaut weigh on Mars?

Accepted Answer

A)   250 pounds
B)   40 pounds
C)   400 pounds
D)   64 pounds

Exam 7: Rational Expressions and Equations

Simplify. -

Find the equation of variation if the following is true. -Suppose m varies directly as p and m = 42 when p = 6.

Find the LCM. -

Solve. -The cost of stainless steel tubing varies jointly as the length and the diameter of the tubing. If a 5 foot length with diameter 2 inches costs $48.00 , how much will a 9 foot length with diameter 4 inches cost?

Add. Simplify, if possible. -

Solve the equation. -

Solve the equation. -

Divide and simplify. -

Find an equation of variation in which the following are true. -y varies jointly as x and z and inversely as the product of w and p, and y = when x = 5, z = 9, w = 8, and p = 5.

Subtract. Simplify, if possible. -

Subtract. Simplify, if possible. -

Find the equation of variation if the following is true. -Suppose that y varies directly as z and y = 37 when z = 259.

Solve the problem. -A quality-control inspector examined 300 calculators and found 7 of them to be defective. At this rate, how many defective calculators will there be in a batch of 6000 calculators?

Solve the equation. -

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

Write the word or phrase that best completes each statement or answers the question. -Describe two ways in which multiplying by 1 is used in adding or subtracting using fractional notation.

Write the word or phrase that best completes each statement or answers the question. -Explain why the least common denominator of two (different) prime numbers is the product of the two numbers.

Solve the problem. -The Epson Stylus 850 can print Helen's class project in 24 minutes. The Epson Stylus 500 can print the project in 30 minutes. If the two printers work together, how long would they take to print out the project?

Solve the problem. -The ratio of the weight of an object on Mars to the weight of an object on Earth is 0.4 to 1. How much will a 160-pound astronaut weigh on Mars?