Exam 2: Review of Basic Algebra

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Calculate ln Calculate ln

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Simplify: (5m - 2n)(m - 12n)

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Compute: Compute:

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Compute: Compute:

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Simplify: (-45a3b)÷ 15a2

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Solve: y = 192 + 0.04y

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Simplify: Simplify:

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Evaluate: (-1)13

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Simplify: 5(4x - 2)

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Evaluate 5000 Evaluate 5000

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Evaluate s: s = ut + Evaluate s: s = ut +   at<sup>2</sup> for u = 15,a = 32,t = 5 at2 for u = 15,a = 32,t = 5

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Simplify: (-4)4 ∗ (-4)

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Sobeys sells fruit trays consisting of pineapple and melons.The manager of the fruit department obtains pineapples at a wholesale price of $2.50 per kg,grapes at $2.15 per kg,strawberries at $1.50 per kg and melons at $1.85 per kg.He is required to produce 10 kg of the mixed fruit.He is required to add 2 kg of strawberries and 3 kg of grapes.What is the maximum weight of pineapple that he can put in the mix in order to have an effective wholesale cost no greater than $2.00 per kg?

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Solve: x + Solve: x +   x +   + x +   x + 1 = 256 x + Solve: x +   x +   + x +   x + 1 = 256 + x + Solve: x +   x +   + x +   x + 1 = 256 x + 1 = 256

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Solve: 4(2x - 5)+ 3 = 3(x - 4)

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Evaluate: Evaluate:

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The zinc department of a factory occupies 500 square metres more than 2 times the floor space occupied by the copper department.The total floor space is 9500 square metres.Determine the floor space occupied by the cooper department.

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Evaluate y: y = Evaluate y: y =   (3x<sup>2</sup> - x - 1)-   (5 - 2x - x<sup>2</sup>)for x = -3 (3x2 - x - 1)- Evaluate y: y =   (3x<sup>2</sup> - x - 1)-   (5 - 2x - x<sup>2</sup>)for x = -3 (5 - 2x - x2)for x = -3

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Solve: Solve:   =   for b = Solve:   =   for b for b

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Solve: 3x = 9 + 12x

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