Exam 1: Equations, Inequalities, and Modeling

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Perform the indicated operations and write the answer in the form a + bi, where a and b are real numbers. -7i + (-4 - i)

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Solve the problem. -During the month of January 1997, the depth, d, of snow in inches at the base of one ski resort could be approximated by d = -2t + 70, where t is the number of days since December 31st. Estimate the depth of snow On January 28th.

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Evaluate the expression Evaluate the expression   for each choice of a, b, and c. -a = 1, b = 1, c = 2 for each choice of a, b, and c. -a = 1, b = 1, c = 2

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Solve the problem. -In the following formula, y is the minimum number of hours of studying required to attain a test score of x: y = Solve the problem. -In the following formula, y is the minimum number of hours of studying required to attain a test score of x: y =   . How many hours of study are needed to score 87? Round to the nearest hundredth of an hour. . How many hours of study are needed to score 87? Round to the nearest hundredth of an hour.

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Evaluate the indicated power of i. -Evaluate the indicated power of i. -

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Solve the absolute value equation. -Solve the absolute value equation. -

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Solve the equation. -Solve the equation. -

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Find the real or imaginary solutions by completing the square. -Find the real or imaginary solutions by completing the square. -  + 3p - 9 = 0 + 3p - 9 = 0

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Find the perfect square trinomial whose first two terms are given. -Find the perfect square trinomial whose first two terms are given. -

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Solve the equation. -Solve the equation. -

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Write an absolute value inequality that has the given solution set. -Write an absolute value inequality that has the given solution set. -

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