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. -4(x - 3) + 5x = x + 12

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Write the complex number in the standard form a + bi and clearly identify the values of a and b. -2

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Solve for y. 3x - 2y = 6

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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. 8x2 + 64x = 0

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Solve for y. w = xyz

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Write in simplified form, then solve. Write in simplified form, then solve.

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Fill in the blank so the result is a perfect square trinomial, then factor into a binomial square. x2 - 20x + _____

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Use the following to answer questions : Determine the intersection and union of sets A, B, and C as indicated, given A = {5, 10, 15, 20} B = {25, 30, 35, 40} C = {10, 20, 30, 40}. -Find A Use the following to answer questions : Determine the intersection and union of sets A, B, and C as indicated, given A = {5, 10, 15, 20} B = {25, 30, 35, 40} C = {10, 20, 30, 40}. -Find A   B. B.

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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 inequality. Then write the solution set in set notation, number line notation, and interval notation. Solve the inequality. Then write the solution set in set notation, number line notation, and interval notation.

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Solve for b. a = Solve for b. a =   bc<sup>2</sup> bc2

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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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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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Solve. Solve.

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Write the complex number in the standard form a + bi and clearly identify the values of a and b. Write the complex number in the standard form a + bi and clearly identify the values of a and b.

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How much pure antifreeze must be added to 12 gallons of 20% antifreeze to make a 40% antifreeze solution?

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Solve for y. Solve for y.

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Solve. 16 = 32 - Solve. 16 = 32 -

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Use the following to answer questions : Determine the intersection and union of sets A, B, and C as indicated, given A = {5, 10, 15, 20} B = {25, 30, 35, 40} C = {10, 20, 30, 40}. -Find A Use the following to answer questions : Determine the intersection and union of sets A, B, and C as indicated, given A = {5, 10, 15, 20} B = {25, 30, 35, 40} C = {10, 20, 30, 40}. -Find A   C. C.

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Fill in the blank so the result is a perfect square trinomial, then factor into a binomial square. x2 + 7x + _____

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