Question 1

Perform the operations and simplify.

Accepted Answer

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

Question 2

Find f ( c ) by evaluating directly and by using synthetic division and the remainder theorem. f ( x ) = x  2 + 2 x + 4 and c = 9

Accepted Answer

A)  95 
B)  9 
C)  107 
D)  99 
E)  103 
A)  95 
B)  9 
C)  107 
D)  99 
E)  103

Question 3

Two denominators are given. Find the LCD. t 2    7 t   8, t 2    64

Accepted Answer

Question 4

Simplify the complex fraction.

Accepted Answer

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

Question 5

The volume of a rectangular solid varies jointly with its length, width, and height. If the length is doubled, the width is tripled, and the height is quadrupled, by what factor is the volume multiplied?

Accepted Answer

A)  3 
B)  12 
C)  6 
D)  24 
A)  3 
B)  12 
C)  6 
D)  24

Question 6

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 7

Perform the division. Write the answer without using negative exponents.

Accepted Answer

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

Question 8

Express the sentence as a formula. Use   as a constant of variation.   varies inversely with the cube of   , and jointly with   and the cube of   .

Accepted Answer

The answer of Express the sentence as a formula. Use...

Question 9

Use synthetic division to perform the division.

Accepted Answer

The answer of Use synthetic division to perform the division....

Question 10

Simplify.

Accepted Answer

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

Question 11

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 12

Use a calculator and synthetic division to perform the division.

Accepted Answer

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

Question 13

Solve the formula for t :

Accepted Answer

The answer of Solve the formula for t : ...

Question 14

Simplify the rational expression.

Accepted Answer

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

Question 15

Determine the domain of the given function.

Accepted Answer

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

Question 16

Solve for the variable in the proportion.

Accepted Answer

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

Question 17

Use the factor theorem and tell whether the first expression is a factor of P ( x ). x + 1; P ( x ) = x 3 + 3 x 2 - 3 x - 5 . (Hint: Write x + 1 as x - (-1).)

Accepted Answer

A)  yes 
B)  no 
A)  yes 
B)  no

Question 18

The equation   indicates __________ variation.

Accepted Answer

The answer of The equation   indicates __________ variation....

Question 19

Perform the division:   by   .

Accepted Answer

The answer of Perform the division:   by ...

Question 20

Perform the division:   by   .

Accepted Answer

The answer of Perform the division:   by ...

Perform the operations and simplify.

Find f ( c ) by evaluating directly and by using synthetic division and the remainder theorem. f ( x ) = x ² + 2 x + 4 and c = 9

Two denominators are given. Find the LCD. t ² 7 t 8, t ² 64

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

The volume of a rectangular solid varies jointly with its length, width, and height. If the length is doubled, the width is tripled, and the height is quadrupled, by what factor is the volume multiplied?

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

Perform the division. Write the answer without using negative exponents.

Express the sentence as a formula. Use as a constant of variation. varies inversely with the cube of , and jointly with and the cube of .

Use synthetic division to perform the division.

Simplify.

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

Use a calculator and synthetic division to perform the division.

Solve the formula for t :

Simplify the rational expression.

Determine the domain of the given function.

Solve for the variable in the proportion.

Use the factor theorem and tell whether the first expression is a factor of P ( x ). x + 1; P ( x ) = x ³ + 3 x ² - 3 x - 5 . (Hint: Write x + 1 as x - (-1).)

The equation indicates __________ variation.

Perform the division: by .

Perform the division: by .

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 operations and simplify.

Find f ( c ) by evaluating directly and by using synthetic division and the remainder theorem. f ( x ) = x 2 + 2 x + 4 and c = 9

Two denominators are given. Find the LCD. t 2 7 t 8, t 2 64

Simplify the complex fraction.

The volume of a rectangular solid varies jointly with its length, width, and height. If the length is doubled, the width is tripled, and the height is quadrupled, by what factor is the volume multiplied?

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

Perform the division. Write the answer without using negative exponents.

Express the sentence as a formula. Use as a constant of variation. varies inversely with the cube of , and jointly with and the cube of .

Use synthetic division to perform the division.

Simplify.

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

Use a calculator and synthetic division to perform the division.

Solve the formula for t :

Simplify the rational expression.

Determine the domain of the given function.

Solve for the variable in the proportion.

Use the factor theorem and tell whether the first expression is a factor of P ( x ). x + 1; P ( x ) = x 3 + 3 x 2 - 3 x - 5 . (Hint: Write x + 1 as x - (-1).)

The equation indicates __________ variation.

Perform the division: by .

Perform the division: by .

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

Find f ( c ) by evaluating directly and by using synthetic division and the remainder theorem. f ( x ) = x ² + 2 x + 4 and c = 9

Two denominators are given. Find the LCD. t ² 7 t 8, t ² 64

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

Use the factor theorem and tell whether the first expression is a factor of P ( x ). x + 1; P ( x ) = x ³ + 3 x ² - 3 x - 5 . (Hint: Write x + 1 as x - (-1).)