Question 1

Simplify the rational expression.

Accepted Answer

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

Question 2

Add the rational expressions. Be sure to express your answer in simplest form.

Accepted Answer

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

Question 3

Determine the domain of the given function.

Accepted Answer

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

Question 4

Simplify the complex fraction.

Accepted Answer

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

Question 5

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 6

Determine the domain of the given function.

Accepted Answer

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

Question 7

Add the rational expressions. Be sure to express your answer in simplest form.

Accepted Answer

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

Question 8

Perform the indicated operation and simplify.

Accepted Answer

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

Question 9

Find any real numbers x which make   undefined.

Accepted Answer

A)    
B)    
C)    
D)  defined for all real numbers 
A)    
B)    
C)    
D)  defined for all real numbers

Question 10

Simplify this rational expression. Assume the denominator never equals zero.

Accepted Answer

A)  1 
B)  2 a - 8 x 
C)  8 x - 2 a 
D)  -1 
E)  Does not simplify further. 
A)  1 
B)  2 a - 8 x 
C)  8 x - 2 a 
D)  -1 
E)  Does not simplify further.

Question 11

Perform the indicated operation and express your answer in simplest form.

Accepted Answer

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

Question 12

Perform the indicated operation and simplify.

Accepted Answer

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

Question 13

A school board has determined that there should be 4 teachers for every 60 students. How many teachers are needed for an enrollment of 3,180 students?

Accepted Answer

A)  187 teachers 
B)  223 teachers 
C)  212 teachers 
D)  196 teachers 
E)  155 teachers 
A)  187 teachers 
B)  223 teachers 
C)  212 teachers 
D)  196 teachers 
E)  155 teachers

Question 14

Perform the indicated division and express your answer in simplest form.

Accepted Answer

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

Question 15

Perform the indicated operation and simplify.

Accepted Answer

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

Question 16

Find the unit price. For   dozen, you will pay $   .

Accepted Answer

A)  $   per dozen 
B)  $   per dozen 
C)  $   per dozen 
D)  $   per dozen 
E)  $   per dozen 
A)  $   per dozen 
B)  $   per dozen 
C)  $   per dozen 
D)  $   per dozen 
E)  $   per dozen

Question 17

Determine the domain of the given function.

Accepted Answer

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

Question 18

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

Accepted Answer

Question 19

Perform the indicated operation. Simplify the answer if possible.

Accepted Answer

The answer of Perform the indicated operation. Simplify the answer...

Question 20

Write the rate as a unit rate.   trips every   months

Accepted Answer

A)    trips per month 
B)    trips per month 
C)    trips per month 
D)    trips per month 
E)    trips per month 
A)    trips per month 
B)    trips per month 
C)    trips per month 
D)    trips per month 
E)    trips per month

Simplify the rational expression.

Add the rational expressions. Be sure to express your answer in simplest form.

Determine the domain of the given function.

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

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

Determine the domain of the given function.

Add the rational expressions. Be sure to express your answer in simplest form.

Perform the indicated operation and simplify.

Find any real numbers x which make undefined.

Simplify this rational expression. Assume the denominator never equals zero.

Perform the indicated operation and express your answer in simplest form.

Perform the indicated operation and simplify.

A school board has determined that there should be 4 teachers for every 60 students. How many teachers are needed for an enrollment of 3,180 students?

Perform the indicated division and express your answer in simplest form.

Perform the indicated operation and simplify.

Find the unit price. For dozen, you will pay $ .

Determine the domain of the given function.

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

Perform the indicated operation. Simplify the answer if possible.

Write the rate as a unit rate. trips every months

Real Numbers and Their Basic Properties

Equations and Inequalities

Graphs; Equations of Lines; Functions; Variation

Polynomials

Factoring Polynomials and Solving Equations by Factoring

Systems of Linear Equations and Inequalities in Two Variables

Roots, Radical Expressions, and Radical Equations

Quadratic Equations, Quadratic Functions, and Complex Numbers

Filters

Exam 6: Rational Expressions and Equations; Ratio and Proportion

Simplify the rational expression.

Add the rational expressions. Be sure to express your answer in simplest form.

Determine the domain of the given function.

Simplify the complex fraction.

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

Determine the domain of the given function.

Add the rational expressions. Be sure to express your answer in simplest form.

Perform the indicated operation and simplify.

Find any real numbers x which make undefined.

Simplify this rational expression. Assume the denominator never equals zero.

Perform the indicated operation and express your answer in simplest form.

Perform the indicated operation and simplify.

A school board has determined that there should be 4 teachers for every 60 students. How many teachers are needed for an enrollment of 3,180 students?

Perform the indicated division and express your answer in simplest form.

Perform the indicated operation and simplify.

Find the unit price. For dozen, you will pay $ .

Determine the domain of the given function.

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

Perform the indicated operation. Simplify the answer if possible.

Write the rate as a unit rate. trips every months

Real Numbers and Their Basic Properties

Equations and Inequalities

Graphs; Equations of Lines; Functions; Variation

Polynomials

Factoring Polynomials and Solving Equations by Factoring

Systems of Linear Equations and Inequalities in Two Variables

Roots, Radical Expressions, and Radical Equations

Quadratic Equations, Quadratic Functions, and Complex Numbers

Filters

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

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