Exam 2: Review and Applications of Algebra

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Simplify: (x5)(x6)x9\frac{\left.(x^{5})\right (x^{6})}{x^{9}}

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Calculate the missing value: Initial Value =?; Final Value = $75; Percent Change = -50%

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Perform the operation indicated and collect like terms: x2yxy2xy\frac{x^{2} y-x y^{2}}{x y}

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What sum of money, increased by 7% equals $187.25?

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How much is $75 after an increase of 75%?

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John and Jill agree to form a partnership. The partnership agreement requires that John invests $7,000.00 less than one-half of what Jill is to invest. If the total investment of both is $125,000.00, how much is Jill's investment?

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Solve accurate to the cent: x1+0.115×78365+3x(1+0.115×121365)=$1000(1+0.115×43365)\frac{x}{1+0.115 \times \frac{78}{365}}+3 x\left(1+0.115 \times \frac{121}{365}\right)=\$ 1000\left(1+0.115 \times \frac{43}{365}\right)

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Simplify: (2y)3(x4)2(x2)2(4y)2\frac{(-2 y)^{3}\left(x^{4}\right)^{-2}}{\left(x^{-2}\right)^{2}(4 y)^{2}}

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Calculate the result to the nearest cent given n = 3; i = .087 and R = $925 Ri11(1+i)n\frac{R}{i}\left\lfloor 1-\frac{1}{(1+i)^{n}}\right\rfloor

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Evaluate to six-figure accuracy: (1.0085)5 (1.0085)3

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Rory invested a total of $7,800 in shares of ABC Ltd. and XYZ Inc. One year later the investment was worth $9,310, after the shares of ABC had increased in value by 15% and the shares of XYZ were up 25%. How much did Rory invest in each company?

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Perform the operation indicated and collect like terms: -(p2 - 4pq -5p) (2qp)\left(\frac{2 q}{p}\right)

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The Lightning laser printer prints 30% more pages per minute than the Reliable laser printer. What percentage less time than the Reliable will the Lightning require for long print jobs?

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Solve for the following pair of equations to three figure accuracy 2.9y + 6.8z = 185.8 6.4y + 10.1z = 149.3

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How much is $102 after a decrease of 2%?

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How much is $10 after an increase of 900%?

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Simplify and collect like terms: (6x2 - 3xy + 4y2) - (8y2 - 10xy - x2)

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The retail price of an item is $625.50. This includes a markup of three-quarters of the wholesale cost to the retailer. What is the wholesale cost?

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Evaluate to six-figure accuracy: (1.0083)3010.0083\frac{(1.008 \overline{3})^{30}-1}{0.008 \overline{3}}

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Evaluate the following: 0.07x + 0.38y = 0.294 -0.3x + 0.7y = 0.37

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