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​​ALGEBRA EXAMPLES

The number is lost.  Find it!

10/25/2013

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Six less than seven times a number is the same as nine times the number.  Find the number.

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Dimes and quarters in the pocket

10/25/2013

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A man has 25 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 370 cents, how many dimes and how many quarters does he have?

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How many miles did he drive that truck?

10/25/2013

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Josh rented a truck for one day. There was a base fee of $16.95, and there was an additional charge of 82 cents for each mile driven. Josh had to pay $185.87 when he returned the truck. For how many miles did he drive the truck?

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Football, baseball, and proportions

10/22/2013

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Colton surveyed his classmates.  The ratio of students who prefer football to students who prefer baseball is 3:7.  There are 30 students in Colton’s class.  How many students prefer football?

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TAXI!!

10/22/2013

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The cost for a taxi is $2.50 plus $2.00 per mile.  If the total for a taxi ride was $32.50, how many miles did the customer travel?

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Find the dimensions of the carpet

10/19/2013

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The length of a rectangular piece of carpet is 2 meters less than 5 times its width. Find the dimensions of the carpet if its area is 16 square meters. Solve algebraically.

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Order of Operations

10/19/2013

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When simplifying the expression,  206 – 4(17 – 3²), which part of the expression do you simplify first?
A.) 206 – 4   
B.) 3²      
C.) 17 – 3    
D.) 4(17)

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Solve the inequality

10/18/2013

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What are the solutions of 2u + 5.2 ≤ 9.4 + u ?
A.)  u ≥ 4.2 
B.) u ≤ 48.9
C.) u ≤ 14.6
D.) u ≤ 4.2

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Create an inequality

10/17/2013

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 A baseball team can spend up to $1500 on bats.  Bats cost $32 each.  Which inequality represents the number of bats, b, they can buy?
A.) 32b ≤ 1500 
B.) 32b ≥ 1500 
C.) 32b + b ≤ 1500     
D.) 32b + b ≥ 1500

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Solve the equation for w

10/16/2013

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What is the solution of w – 4 = 18 + 3w ?
A.) -11 
B.) -3.5 
C.) 3.5 
D.) 11

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