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Algebra
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Practice Set 2: Grid-Ins
1.    If a + b + c = –350 and a = –725, what is the value of b + c?

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2.    If m and n are integers that satisfy the conditions above, what is one possible value of m + n?

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3.    The Acme Industrial Technical College has fallen on hard times. Last year its enrollment dropped by 20%, and this year enrollment dropped another 15% from last year’s. Next year the college expects to have 50% of this year’s enrollment. What percent of enrollment can be expected to drop for all 3 years?

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4.    If f(x) = x2 – 2x, what does f(6) equal?

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5.    (2x – 3)(5x + 14) = ax2 + bx + c, where a, b, and c are numerical constants. Determine the value of b.


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6.    If 35% of 40% of x equals 70, what is the value of x?

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7.    4x – 5y = 4 and 2x – y = 8. Using this information, determine the value of (x – y).

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8.    The price of typewriters has increased by $10 per year over the past 5 years. If a typewriter currently retails for $165, by what percentage did the price of typewriters increase over the last 5 years?

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9.    If x2 – y2 = 48, and x + y = 12, what is the value of x – y?

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10.    Cindy currently has a balance of $240 on her credit card bill. She intends to pay 4% of the balance annually, but the debt has a 5% annual interest rate. After 4 years her debt will have increased by how much, in dollars?

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11.    The expression is how much greater than x?

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12.    If the function of g(z) = az – b, where a and b are constants, g(12) = 83, and g(4) = 19, what is the value of b?

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13.    It takes Ralph 4 hours to complete a certain job. Potsy can complete the same job in 3 hours. If Ralph and Potsy work together to complete of the job, how long in hours will it take Ralph to finish the job by himself?

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14.    If x and y are positive integers, x > 30, and x – y > 25, what is the LEAST possible value of x + y?

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15.    In the function , the domain is all positive numbers. What is one integer value of the range of this function?


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