Exam 1: Review of Algebra

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Simplify: Simplify:

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Simplify: 2 Simplify: 2

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   +    - 1 = 0 +    +    - 1 = 0 - 1 = 0

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Multiply and simplify: (a + b - c)(a - b + c)

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One factor of One factor of   - 12x + 36 is - 12x + 36 is

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

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.212121...is a rational number.Please explain why this is true or false.

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One factor of One factor of   + 8x - 20 is + 8x - 20 is

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Simplify: Simplify:    -  - Simplify:    -

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  = =

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(x + 1)(x - 1)( (x + 1)(x - 1)(   - 1)= - 1)=

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Given the numbers 4,-7, Given the numbers 4,-7,   ,π,0,- 0.2,how many are irrational? ,π,0,- 0.2,how many are irrational?

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Divide and simplify: ( Divide and simplify: (    - 3x - 4)÷ (x - 2) - 3x - 4)÷ (x - 2)

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Simplify: (-3)(6)

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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 30.625 meters off the ground? where t is in seconds.When will the fireworks be 30.625 meters off the ground?

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Which of the following are true? I. Which of the following are true? I.   =   II.   +   = 0 III.   ∙   =  = Which of the following are true? I.   =   II.   +   = 0 III.   ∙   =  II. Which of the following are true? I.   =   II.   +   = 0 III.   ∙   =  + Which of the following are true? I.   =   II.   +   = 0 III.   ∙   =  = 0 III. Which of the following are true? I.   =   II.   +   = 0 III.   ∙   =  ∙ Which of the following are true? I.   =   II.   +   = 0 III.   ∙   =  = Which of the following are true? I.   =   II.   +   = 0 III.   ∙   =

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-9 - (-3)=

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Write the following in radical form: Write the following in radical form:

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Multiply and simplify: (2y - 1)(3y + 4)

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Simplify; express the answer without radicals: Simplify; express the answer without radicals:      Simplify; express the answer without radicals:

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