Exam 1: Equations and Inequalities

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Solve using the zero product property. Be sure each equation is in standard form and factor out any common factors before attempting to solve. Check all answers in the original equation. -3x4 + 33x3 = 84x2

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D

Graph the inequality on a number line. x > -1

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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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Name the complex conjugate, then find the product. 5 - i

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Perform the addition. Write the result in a + bi form. (5 - 8i) + (6 + 5i)

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Use the discriminant to determine whether the given equation has two irrational roots, two rational roots, one repeated root, or two complex roots. Do not solve. 9x2 - 6x = -1

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Use the following to answer questions : Use the following to answer questions :   -Express the compound inequality graphically. -Express the compound inequality graphically.

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Solve the compound inequality and graph the solution set. -4(x + 3) ≥ 20 or x - 5 < -2

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Solve using the zero product property. Be sure each equation is in standard form and factor out any common factors before attempting to solve. Check all answers in the original equation. (m + 5)(m + 6) = 6

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Solve the absolute value inequality. Write your answer in interval notation. |-5 - x| + 11 < 10

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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 u-substitution. (x2 - x)2 - 14(x2 - x) + 24 = 0

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Use the following to answer questions : Use the following to answer questions :   -Express the compound inequality in interval notation. -Express the compound inequality in interval notation.

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Solve. Solve.

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Solve by completing the square. x2 + 4x = 12

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Find two consecutive even integers such that the sum of the smaller integer plus twice the larger integer is 148.

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Solve using the most efficient method. 2x2 + 6x - 11 = 0

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Solve the compound inequality. -0.2 ≤ 0.7 - x ≤ 1.8

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Solve using the zero product property. Be sure each equation is in standard form and factor out any common factors before attempting to solve. Check all answers in the original equation. -5x3 = -13x2 - 6x

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Use the discriminant to determine whether the given equation has two irrational roots, two rational roots, one repeated root, or two complex roots. Do not solve. -5x2 + 27x - 10 =0

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