Exam 1: Review of Algebra

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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 revenue is $200? + 60p where p is the price of their service.What is the price of their service if the revenue is $200?

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Solve the equation by using quadratic formula.Use a calculator and give your answer by rounding off to 2 decimal places: Solve the equation by using quadratic formula.Use a calculator and give your answer by rounding off to 2 decimal places:    + 3.5x + 1.2 = 0 + 3.5x + 1.2 = 0

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

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Simplify and express your answer in terms of positive exponents: Simplify and express your answer in terms of positive exponents:

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Simplify and express your answer in terms of positive exponents: Simplify and express your answer in terms of positive exponents:      Simplify and express your answer in terms of positive exponents:

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

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You have been on a train for X hours traveling X miles per hour.It is 6 p.m.and you are 3249 miles from the train station.How many hours have you been traveling and how fast were you traveling?

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  = =

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Divide the polynomial Divide the polynomial    + 3x + 5 by 2x + 1 to give the quotient and remainder. + 3x + 5 by 2x + 1 to give the quotient and remainder.

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Perform the indicated operations and simplify: Perform the indicated operations and simplify:    +    +  + Perform the indicated operations and simplify:    +    +  + Perform the indicated operations and simplify:    +    +

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Solve the equation: 1.4( 0.2x + 1.3)= 0.5(0.1x + 4.56)

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Completely factor: Completely factor:    + 5x - 6 + 5x - 6

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Simplify: Simplify:    +  + Simplify:    +

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Eric and Paige have agreed to pool their savings when they have saved the same amount of money.Eric can save $15 a week and will have an extra $80 when his brother pays him back in 3 weeks.Paige can save $20 a week but won't be able to start saving for 5 weeks.When will they pool their savings? How much will they each have saved?

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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 20 meters off the ground? where t is in seconds.When will the fireworks be 20 meters off the ground?

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Completely factor: Completely factor:    - 8  - 8 Completely factor:    - 8

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Simplify: Simplify:        (3    ) Simplify:        (3    ) (3 Simplify:        (3    ) )

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Simplify: Simplify:    +  + Simplify:    +

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Solve: Solve:    -    =  - Solve:    -    =  = Solve:    -    =

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Solve the formula h = Solve the formula h =    for L. for L.

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