Question 1

Perform the division.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 2

Perform the indicated operations involving rational numbers. Express the final answer in reduced form.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 3

If P ( y ) is a polynomial in y , then P ( r ) = 0 if and only if __________ is a factor of P ( y ).

Accepted Answer

A)  -r - y 
B)  y + r 
C)  y - r 
D)  r - y 
A)  -r - y 
B)  y + r 
C)  y - r 
D)  r - y

Question 4

Express the sentence as a formula.   varies inversely with the cube of   .

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 5

Solve the equation and check the solution.

Accepted Answer

A)  - 2 
B)  4 
C)  3 
D)  - 3 
E)  no solution 
A)  - 2 
B)  4 
C)  3 
D)  - 3 
E)  no solution

Question 6

Assume that all variables represent positive numbers. Assume that   varies directly with   . If   when   , find   when   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 7

An electric company charges   per month plus   cents for each kilowatt hour (kwh) of electricity used. Find the average cost per kwh when   kwh are used.

Accepted Answer

A)    cents 
B)    cents 
C)    cents 
D)    cents 
A)    cents 
B)    cents 
C)    cents 
D)    cents

Question 8

Write the expression in lowest terms. If the expression is already in lowest terms, so indicate. Assume that the denominator does not equal zero.

Accepted Answer

A)    
B)    
C)    
D)    
E)  in lowest terms 
A)    
B)    
C)    
D)    
E)  in lowest terms

Question 9

Simplify the complex fraction.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

Perform the indicated operation and simplify.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Perform the division.

Perform the indicated operations involving rational numbers. Express the final answer in reduced form.

If P ( y ) is a polynomial in y , then P ( r ) = 0 if and only if __________ is a factor of P ( y ).

Express the sentence as a formula. varies inversely with the cube of .

Solve the equation and check the solution.

Assume that all variables represent positive numbers. Assume that varies directly with . If when , find when .

An electric company charges per month plus cents for each kilowatt hour (kwh) of electricity used. Find the average cost per kwh when kwh are used.

Write the expression in lowest terms. If the expression is already in lowest terms, so indicate. Assume that the denominator does not equal zero.

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

Perform the indicated operation and simplify.

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Radical Expressions and Equations

Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters

Exam 6: Rational Expressions

Perform the division.

Perform the indicated operations involving rational numbers. Express the final answer in reduced form.

If P ( y ) is a polynomial in y , then P ( r ) = 0 if and only if __________ is a factor of P ( y ).

Express the sentence as a formula. varies inversely with the cube of .

Solve the equation and check the solution.

Assume that all variables represent positive numbers. Assume that varies directly with . If when , find when .

An electric company charges per month plus cents for each kilowatt hour (kwh) of electricity used. Find the average cost per kwh when kwh are used.

Write the expression in lowest terms. If the expression is already in lowest terms, so indicate. Assume that the denominator does not equal zero.

Simplify the complex fraction.

Perform the indicated operation and simplify.

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Radical Expressions and Equations

Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters

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