Question 1

Multiply the expressions.

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Question 2

Simplify inside the parentheses first, then multiply.

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Question 3

A water faucet can fill a sink in 10 minutes, whereas the drain can empty it in 8 minutes. If the sink is full, how long will it take to empty if both the faucet and the drain are open?

Accepted Answer

A) 10 minutes 
B) 80 minutes 
C) 40 minutes 
D) 18 minutes 
E) 9 minutes 
A) 10 minutes 
B) 80 minutes 
C) 40 minutes 
D) 18 minutes 
E) 9 minutes

Question 4

Simplify the expression. Work inside parentheses first, and then divide out common factors.

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Question 5

The numerator of a certain fraction is 1 more than the denominator. If   is added to the fraction, the result is 2. Find the fraction.

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Question 6

Solve the following proportion.

Accepted Answer

The answer of Solve the following proportion.  ...

Question 7

Simplify the complex fraction.

Accepted Answer

The answer of Simplify the complex fraction.  ...

Question 8

Solve the following proportion.

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Question 9

The following problem involves some factoring by grouping. Remember, before you can divide out factors common to the numerator and denominator of a product, you must factor completely.

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Question 10

If   varies inversely with   and if   when   find   when   is 10.

Accepted Answer

The answer of If   varies inversely with ...

Question 11

Simplify the complex fraction.

Accepted Answer

The answer of Simplify the complex fraction.  ...

Question 12

Write the ratio as a fraction in lowest terms.   to

Accepted Answer

The answer of Write the ratio as a fraction in...

Question 13

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 14

If   varies inversely with   and if   when   find   when   is 14.

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Question 15

Perform the indicated operation.

Accepted Answer

The answer of Perform the indicated operation.  ...

Question 16

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

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Question 17

A man drives his car 123 miles in 3 hours. At this rate, how far will he travel in 11 hours? __________ miles

Accepted Answer

The answer of A man drives his car 123 miles...

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

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

Question 19

Simplify the complex fraction.

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Question 20

Perform the indicated operation. Reduce your answer to lowest terms.

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Multiply the expressions.

Simplify inside the parentheses first, then multiply.

A water faucet can fill a sink in 10 minutes, whereas the drain can empty it in 8 minutes. If the sink is full, how long will it take to empty if both the faucet and the drain are open?

Simplify the expression. Work inside parentheses first, and then divide out common factors.

The numerator of a certain fraction is 1 more than the denominator. If $The numerator of a certain fraction is 1 more than the denominator. If is added to the fraction, the result is 2. Find the fraction.$ is added to the fraction, the result is 2. Find the fraction.

Solve the following proportion.

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

Solve the following proportion.

The following problem involves some factoring by grouping. Remember, before you can divide out factors common to the numerator and denominator of a product, you must factor completely.

If varies inversely with and if when find when is 10.

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

Write the ratio as a fraction in lowest terms. $Write the ratio as a fraction in lowest terms. to$ to $Write the ratio as a fraction in lowest terms. to$

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 = __________

If varies inversely with and if when find when is 14.

Perform the indicated operation.

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

A man drives his car 123 miles in 3 hours. At this rate, how far will he travel in 11 hours? __________ miles

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.

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

Perform the indicated operation. Reduce your answer to lowest terms.

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

Multiply the expressions.

Simplify inside the parentheses first, then multiply.

A water faucet can fill a sink in 10 minutes, whereas the drain can empty it in 8 minutes. If the sink is full, how long will it take to empty if both the faucet and the drain are open?

Simplify the expression. Work inside parentheses first, and then divide out common factors.

The numerator of a certain fraction is 1 more than the denominator. If is added to the fraction, the result is 2. Find the fraction.

Solve the following proportion.

Simplify the complex fraction.

Solve the following proportion.

The following problem involves some factoring by grouping. Remember, before you can divide out factors common to the numerator and denominator of a product, you must factor completely.

If varies inversely with and if when find when is 10.

Simplify the complex fraction.

Write the ratio as a fraction in lowest terms. to

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 = __________

If varies inversely with and if when find when is 14.

Perform the indicated operation.

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

A man drives his car 123 miles in 3 hours. At this rate, how far will he travel in 11 hours? __________ miles

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.

Simplify the complex fraction.

Perform the indicated operation. Reduce your answer to lowest terms.

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

The numerator of a certain fraction is 1 more than the denominator. If $The numerator of a certain fraction is 1 more than the denominator. If is added to the fraction, the result is 2. Find the fraction.$ is added to the fraction, the result is 2. Find the fraction.

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

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

Write the ratio as a fraction in lowest terms. $Write the ratio as a fraction in lowest terms. to$ to $Write the ratio as a fraction in lowest terms. to$

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