Exam 1: Review of Algebra

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Solve: Solve:    +    =  + Solve:    +    =  = Solve:    +    =

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Completely factor: Completely factor:    - 8t - 9 - 8t - 9

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Simplify: Simplify:

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What is the sales tax paid on an item whose total receipt was $100.75 and whose sales tax rate was 5.5%?

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P = 2l + 2w is the formula for the perimeter P of a rectangle with length l and width w.If you have P linear feet of fencing material and are going to fence in an area for your dog which spans the length l of your yard,how wide can you make your fence?

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Suppose the height h in meters of fireworks fired straight upward from the ground is given by h = 24.5t - 4.9 Suppose the height h in meters of fireworks fired straight upward from the ground is given by h = 24.5t - 4.9    where t is in seconds.When will the fireworks be 50 meters off the ground? where t is in seconds.When will the fireworks be 50 meters off the ground?

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Simplify: Simplify:    +    +  + Simplify:    +    +  + Simplify:    +    +

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Perform the operation and simplify your answer: Perform the operation and simplify your answer:    ∙  ∙ Perform the operation and simplify your answer:    ∙

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-2 + (-7)=

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Solve: Solve:    - 9x + 4 = 0 - 9x + 4 = 0

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Solve: 2 Solve: 2    - 1 =  - 1 = Solve: 2    - 1 =

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The area of a rectangular table which has a length 1 foot more than its width is 20 square feet.What are the dimensions of the table?

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Rationalize the denominator: Rationalize the denominator:

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Suppose the weekly revenue for a company is given by r = Suppose the weekly revenue for a company is given by r =    + 60p where p is the price of their service.What is the price of their service if the weekly revenue is $300? + 60p where p is the price of their service.What is the price of their service if the weekly revenue is $300?

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Completely factor: Completely factor:    y +  y + Completely factor:    y +

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Solve the equation: (1 - Solve the equation: (1 -    - 4(3 -    = 5 - 4(3 - Solve the equation: (1 -    - 4(3 -    = 5 = 5

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Multiply and simplify: ( Multiply and simplify: (    - 3)(7 +    ) - 3)(7 + Multiply and simplify: (    - 3)(7 +    ) )

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Simplify: (-a + b - c)- a + b

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Solve the equation: 5 Solve the equation: 5    - 3    = 0 - 3 Solve the equation: 5    - 3    = 0 = 0

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Completely factor: Completely factor:    - 36 - 36

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