Exam 1: Equations and Inequalities

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Identify the equation as an identity, a contradiction, or a conditional equation. If conditional, state the solution. 2x + 10(-x - 7) = -54 - 4(2x + 3)

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Solve the absolute value inequality. Write the solution in interval notation. |x + 6| ? 6

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An arithmetic student needs at least a 70% average to receive credit for the course. If she scored 70%, 64%, and 72% on the first three exams, what score must she get on the fourth exam to receive credit for the course?

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Perform the subtraction. Write the result in a + bi form. (-5 - 2i) - (-8 - 4i)

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Solve using the square root property of equality. Write answers in exact form and approximate form rounded to hundredths. If there are no real solutions, so state. x2 - 50 = 0

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Solve by completing the square. Write your answer in exact form. x2 = 5x + 2

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Determine the allowable value(s) for the expression. Write your answer in interval notation. Determine the allowable value(s) for the expression. Write your answer in interval notation.

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Give the total amount of the mix that results and the worth per pound of the mix when 8 pounds of nuts worth $1.20 per pound are mixed with 8 pounds of nuts worth $4.20 per pound.

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Simplify using powers of i. i47

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Simplify the radical, if possible. If imaginary, rewrite in terms of i and simplify. Simplify the radical, if possible. If imaginary, rewrite in terms of i and simplify.

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Solve using the most efficient method. x2 - 9x = -14

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Solve using the most efficient method. Solve using the most efficient method.

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Solve. Solve.

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Solve the absolute value inequality. Write the solution in interval notation. |x + 2| > 9

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Solve. Solve.

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Simplify using powers of i. i64

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Graph the inequality on a number line. -4 ≤ y < 1

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Simplify using powers of i. i46

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Solve. Solve.

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Solve using the square root property of equality. Write answers in exact form. If there are no real solutions, so state. (x - 2)2 + 10 = 4

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