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Algebraic Expressions Word Problems

Algebraic Expressions Word Problems
Algebraic Expressions Word Problems
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 1.  

A commuter train pulling 8 cars had room for another 84 passengers. Halfway through the commute, the train had to be taken out of service. All of the passengers were transferred to another commuter train that had 6 cars with the same capacity as those in the first train. After all of the passengers transferred to the replacement train, there was room for only 10 more people. What is the maximum number of passengers that each car can transport?



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 2.  

A boat takes twice as long to travel 10 miles up stream an it does to travel 7 miles down streams.In a river that flow at 5 miles per hour.What is the speed of the boat that travel in the steel water.



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 3.  

If a rectangle has an area of 105 square units an the length is 7 what is the width?



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 4.  

If you work 40 hours a week at 14.50 an hour what is your total at the end of the week?



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 5.  

Find all numbers for which the rational expression is not defined



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 6.  

Perform the indicated operations and simplify.

$\frac{a}{(a-b)}+\frac{b}{(a^2+ab+b^2)}\frac{-2}{(a^3-b^3)}

$


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