Exam 1: Review of Algebra

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A number squared is six more than five times the number.What is the number?

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(4x - 3)(2x + 1)=

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

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Completely factor: Completely factor:    - 13z - 5 - 13z - 5

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Simplify and express your answer in terms of positive exponents; rationalize the denominator to avoid fractional exponents in the denominator: Simplify and express your answer in terms of positive exponents; rationalize the denominator to avoid fractional exponents in the denominator:

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Solve: Solve:    = 3 = 3

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The equations x - 7 = 0 and 3(x - 7)= 0 are equivalent.

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Solve: Solve:    = x - 4 = x - 4

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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: Simplify:

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Simplify: Simplify:

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(x + 1)( (x + 1)(   + 3x - 5)-   = + 3x - 5)- (x + 1)(   + 3x - 5)-   = =

(Multiple Choice)
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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:    - 4.8x + 1.9 = 0 - 4.8x + 1.9 = 0

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

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Solve: (2x + Solve: (2x +    = 2(2    + 2x + 5) = 2(2 Solve: (2x +    = 2(2    + 2x + 5) + 2x + 5)

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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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Rationalize the denominator and simplify: Rationalize the denominator and simplify:

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Evaluate: Evaluate:

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The area of a rectangular swimming pool which has a length 15 meters more than its width is 250 square meters.What are the dimensions of the swimming pool?

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4 4   = =

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