Question 1

You know that   . Compare these expressions by completing the following table. (Be careful - not all the rows have equal entries.)

Accepted Answer

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

Question 2

If   varies directly with   and if   when   find   when   is 4.

Accepted Answer

A) -2 
B) -289 
C) -4 
D) -1 
E) -6 
A) -2 
B) -289 
C) -4 
D) -1 
E) -6

Question 3

Multiply the expressions.

Accepted Answer

The answer of Multiply the expressions.  ...

Question 4

Graph   and   on the same coordinate system. At what points do the two graphs intersect?

Accepted Answer

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

Question 5

Perform the indicated operation.

Accepted Answer

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

Question 6

Reduce the following rational expression to lowest terms, if possible.

Accepted Answer

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

Question 7

Reduce the following rational expression to lowest terms, if possible.

Accepted Answer

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

Question 8

Reduce the following rational expression to lowest terms.

Accepted Answer

The answer of Reduce the following rational expression to lowest...

Question 9

Simplify the complex fraction.

Accepted Answer

The answer of Simplify the complex fraction.  ...

Question 10

A map is drawn so that every 3.5 inches on the map corresponds to an actual distance of 100 miles. If the actual distance between the two cities is 220 miles, how far apart are they on the map?

Accepted Answer

A) 63 inches 
B) 2.2 inches 
C) 13.9 inches 
D) 7.7 inches 
E) 23.8 inches 
A) 63 inches 
B) 2.2 inches 
C) 13.9 inches 
D) 7.7 inches 
E) 23.8 inches

Question 11

Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.   x = __________

Accepted Answer

The answer of Solve the following equation. Be sure to...

Question 12

Complete the following table.

Accepted Answer

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

Question 13

Graph   and   on the same coordinate system. At what points do the two graphs intersect?

Accepted Answer

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

Question 14

A boat travels 28 miles up the river in the same amount of time it takes to travel 52 miles down the same river. If the current is 3 miles per hour, what is the speed of the boat in still water? d r t Upstream Downstream __________ miles per hour

Accepted Answer

The answer of A boat travels 28 miles up the...

Question 15

Perform the indicated operation.

Accepted Answer

The answer of Perform the indicated operation.  ...

Question 16

To reduce the following rational expression to lowest terms, you will have to use factoring by grouping. Be sure to factor each numerator and denominator completely before dividing out any common factors. (Remember, factoring by grouping takes two steps.)

Accepted Answer

The answer of To reduce the following rational expression to...

Question 17

Solve the following proportion.

Accepted Answer

The answer of Solve the following proportion.  ...

Question 18

Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.

Accepted Answer

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

Question 19

To reduce the following rational expression to lowest terms, you will have to use factoring by grouping. Be sure to factor each numerator and denominator completely before dividing out any common factors. (Remember, factoring by grouping takes two steps.)

Accepted Answer

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

Question 20

The sum of a number and 15 times its reciprocal is 8. Find the number.

Accepted Answer

The answer of The sum of a number and 15...

You know that . Compare these expressions by completing the following table. (Be careful - not all the rows have equal entries.)

If varies directly with and if when find when is 4.

Multiply the expressions.

Graph and on the same coordinate system. At what points do the two graphs intersect?

Perform the indicated operation.

Reduce the following rational expression to lowest terms, if possible.

Reduce the following rational expression to lowest terms, if possible.

Reduce the following rational expression to lowest terms.

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

A map is drawn so that every 3.5 inches on the map corresponds to an actual distance of 100 miles. If the actual distance between the two cities is 220 miles, how far apart are they on the map?

Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable. x = __________

Complete the following table.

Graph and on the same coordinate system. At what points do the two graphs intersect?

A boat travels 28 miles up the river in the same amount of time it takes to travel 52 miles down the same river. If the current is 3 miles per hour, what is the speed of the boat in still water? d r t Upstream Downstream __________ miles per hour

Perform the indicated operation.

To reduce the following rational expression to lowest terms, you will have to use factoring by grouping. Be sure to factor each numerator and denominator completely before dividing out any common factors. (Remember, factoring by grouping takes two steps.)

Solve the following proportion.

Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.

To reduce the following rational expression to lowest terms, you will have to use factoring by grouping. Be sure to factor each numerator and denominator completely before dividing out any common factors. (Remember, factoring by grouping takes two steps.)

The sum of a number and 15 times its reciprocal is 8. Find the number.

The Basics

Linear Equations and Inequalities

Linear Equations and Inequalities in Two Variables

Systems of Linear Equations

Exponents and Polynomials

Factoring

Roots and Radicals

Quadratic Equations

Filters

Exam 7: Rational Expressions

You know that . Compare these expressions by completing the following table. (Be careful - not all the rows have equal entries.)

If varies directly with and if when find when is 4.

Multiply the expressions.

Graph and on the same coordinate system. At what points do the two graphs intersect?

Perform the indicated operation.

Reduce the following rational expression to lowest terms, if possible.

Reduce the following rational expression to lowest terms, if possible.

Reduce the following rational expression to lowest terms.

Simplify the complex fraction.

A map is drawn so that every 3.5 inches on the map corresponds to an actual distance of 100 miles. If the actual distance between the two cities is 220 miles, how far apart are they on the map?

Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable. x = __________

Complete the following table.

Graph and on the same coordinate system. At what points do the two graphs intersect?

A boat travels 28 miles up the river in the same amount of time it takes to travel 52 miles down the same river. If the current is 3 miles per hour, what is the speed of the boat in still water? d r t Upstream Downstream __________ miles per hour

Perform the indicated operation.

To reduce the following rational expression to lowest terms, you will have to use factoring by grouping. Be sure to factor each numerator and denominator completely before dividing out any common factors. (Remember, factoring by grouping takes two steps.)

Solve the following proportion.

Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.

To reduce the following rational expression to lowest terms, you will have to use factoring by grouping. Be sure to factor each numerator and denominator completely before dividing out any common factors. (Remember, factoring by grouping takes two steps.)

The sum of a number and 15 times its reciprocal is 8. Find the number.

The Basics

Linear Equations and Inequalities

Linear Equations and Inequalities in Two Variables

Systems of Linear Equations

Exponents and Polynomials

Factoring

Roots and Radicals

Quadratic Equations

Filters

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