Question 1

Use interval notation to represent the number line graph.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 2

Perform the indicated operations and simplify.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 3

Use an algebraic method to find any real zeros, if they exist, of the function   
.

Accepted Answer

A)    
B)    
C)    
D)  no real zeros 
E)  none of these 
A)    
B)    
C)    
D)  no real zeros 
E)  none of these

Question 4

Perform the indicated operations and simplify.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 5

The relationship between the cost,   , of purchasing chocolate-covered almonds and the weight,   , in pounds is a direct variation. The cost of purchasing 4 pounds of almonds is $38.00.
-Find the cost of purchasing 5 pounds.

Accepted Answer

A)  $50.50 
B)  $51.50 
C)  $47.50 
D)  $45.50 
E)  none of these 
A)  $50.50 
B)  $51.50 
C)  $47.50 
D)  $45.50 
E)  none of these

Question 6

write the equation of any vertical asymptotes.
-

Accepted Answer

A)    
B)    
C)    
D)  no vertical asymptotes 
E)  none of these 
A)    
B)    
C)    
D)  no vertical asymptotes 
E)  none of these

Question 7

Lisa can paint the interior of a 1000 square-foot house in 11 hours by herself. Liam can paint the same size house in 14 hours by himself. How long will it take to paint the same size house if they work together? Round your answer to the nearest hour.

Accepted Answer

A)  6 hrs 
B)  12.5 hrs 
C)  4 hrs 
D)  8 hrs 
E)  none of these 
A)  6 hrs 
B)  12.5 hrs 
C)  4 hrs 
D)  8 hrs 
E)  none of these

Question 8

A swimming pool can be emptied in 4 hours using two pumps--a 10-horsepower pump along with a 6-horsepower pump. The 6-horsepower pump takes 6 more hours than the 10-horsepower pump to empty the pool alone. How long would it take the 10-horsepower pump to empty the pool alone?

Accepted Answer

A)  9 hrs 
B)  7 hrs 
C)  6 hrs 
D)  8 hrs 
E)  none of these 
A)  9 hrs 
B)  7 hrs 
C)  6 hrs 
D)  8 hrs 
E)  none of these

Question 9

Perform the indicated operations and simplify.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 10

A company wants to collect $299,000 from selling a particular product. The relationship of the number of products sold,   , and the product price,   , is   . The company predicts that 23,000 products will be sold. Find the product price.

Accepted Answer

A)  $15 
B)  $17 
C)  $13 
D)  $18 
E)  none of these 
A)  $15 
B)  $17 
C)  $13 
D)  $18 
E)  none of these

Question 11

A joint variation is   . If   , and   , find   . Round your answer to two decimal places.

Accepted Answer

A)  48 
B)  0.75 
C)  1.3 
D)  8 
E)  none of these 
A)  48 
B)  0.75 
C)  1.3 
D)  8 
E)  none of these

Question 12

Find any real boundary values for each rational inequality.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 13

Evaluate or simplify each expression.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 14

Use the rational inequality   .
-Find any real boundary values.

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 15

Accepted Answer

A)    
B)    
C)    
D)    
E)  no solution 
A)    
B)    
C)    
D)    
E)  no solution

Question 16

Perform the indicated operations and simplify.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 17

Perform the indicated operations and simplify.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 18

Accepted Answer

A)    
B)    
C)    
D)    
E)  no solution 
A)    
B)    
C)    
D)    
E)  no solution

Question 19

Use interval notation to represent the domain of each function.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 20

The relationship of the input value, x , and the output value, y , is a direct variation. When x = 5 , y =25 .
-Write a function that describes this direct variation and graph it.

Accepted Answer

A)      
B)      
C)      
D)      
E)  none of these 
A)      
B)      
C)      
D)      
E)  none of these

Use interval notation to represent the number line graph. -

Perform the indicated operations and simplify. -

Use an algebraic method to find any real zeros, if they exist, of the function .

Perform the indicated operations and simplify. -

The relationship between the cost, , of purchasing chocolate-covered almonds and the weight, , in pounds is a direct variation. The cost of purchasing 4 pounds of almonds is $38.00. -Find the cost of purchasing 5 pounds.

write the equation of any vertical asymptotes. -

Lisa can paint the interior of a 1000 square-foot house in 11 hours by herself. Liam can paint the same size house in 14 hours by himself. How long will it take to paint the same size house if they work together? Round your answer to the nearest hour.

A swimming pool can be emptied in 4 hours using two pumps--a 10-horsepower pump along with a 6-horsepower pump. The 6-horsepower pump takes 6 more hours than the 10-horsepower pump to empty the pool alone. How long would it take the 10-horsepower pump to empty the pool alone?

Perform the indicated operations and simplify. -

A company wants to collect $299,000 from selling a particular product. The relationship of the number of products sold, , and the product price, , is . The company predicts that 23,000 products will be sold. Find the product price.

A joint variation is . If , and , find . Round your answer to two decimal places.

Find any real boundary values for each rational inequality. -

Evaluate or simplify each expression. -

Use the rational inequality . -Find any real boundary values.

Perform the indicated operations and simplify. -

Perform the indicated operations and simplify. -

Use interval notation to represent the domain of each function. -

The relationship of the input value, x , and the output value, y , is a direct variation. When x = 5 , y =25 . -Write a function that describes this direct variation and graph it.

Fundamentals of Algebra

Polynomials and Absolute Value

Relations and Functions

Systems of Linear Equations

Radical Expressions, Equations and Functions

Quadratic Expressions, Equations and Functions

Exponential and Logarithmic Expressions, Equations and Functions

Conic Sections Systems of Non-Linear Equations

Sequences, Series and the Binomial Theorem

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Exam 5: Rational Expressions, Equations and Functions

Use interval notation to represent the number line graph. -

Perform the indicated operations and simplify. -

Use an algebraic method to find any real zeros, if they exist, of the function .

Perform the indicated operations and simplify. -

The relationship between the cost, , of purchasing chocolate-covered almonds and the weight, , in pounds is a direct variation. The cost of purchasing 4 pounds of almonds is $38.00. -Find the cost of purchasing 5 pounds.

write the equation of any vertical asymptotes. -

Lisa can paint the interior of a 1000 square-foot house in 11 hours by herself. Liam can paint the same size house in 14 hours by himself. How long will it take to paint the same size house if they work together? Round your answer to the nearest hour.

A swimming pool can be emptied in 4 hours using two pumps--a 10-horsepower pump along with a 6-horsepower pump. The 6-horsepower pump takes 6 more hours than the 10-horsepower pump to empty the pool alone. How long would it take the 10-horsepower pump to empty the pool alone?

Perform the indicated operations and simplify. -

A company wants to collect $299,000 from selling a particular product. The relationship of the number of products sold, , and the product price, , is . The company predicts that 23,000 products will be sold. Find the product price.

A joint variation is . If , and , find . Round your answer to two decimal places.

Find any real boundary values for each rational inequality. -

Evaluate or simplify each expression. -

Use the rational inequality . -Find any real boundary values.

Perform the indicated operations and simplify. -

Perform the indicated operations and simplify. -

Use interval notation to represent the domain of each function. -

The relationship of the input value, x , and the output value, y , is a direct variation. When x = 5 , y =25 . -Write a function that describes this direct variation and graph it.

Fundamentals of Algebra

Polynomials and Absolute Value

Relations and Functions

Systems of Linear Equations

Radical Expressions, Equations and Functions

Quadratic Expressions, Equations and Functions

Exponential and Logarithmic Expressions, Equations and Functions

Conic Sections Systems of Non-Linear Equations

Sequences, Series and the Binomial Theorem

Filters