Exam 1: Equations and Inequalities

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Solve the equation. -Solve the equation. -

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Solve the inequality. Express your answer in set notation. -Solve the inequality. Express your answer in set notation. -

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Write the interval as an inequality involving x, and illustrate the inequality using the real number line. -Write the interval as an inequality involving x, and illustrate the inequality using the real number line. -

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Find the real solutions of the equation. -Find the real solutions of the equation. -

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Solve the inequality. Express your answer using interval notation. -Solve the inequality. Express your answer using interval notation. -

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Solve the equation. -x(7x - 1)= (7x + 1)(x - 3)

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Solve the inequality. Express your answer using interval notation. -Solve the inequality. Express your answer using interval notation. -

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Solve the equation. -Solve the equation. -

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Solve the equation. -3(x + 3)= 4(x - 5)

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Solve the problem. -x represents the number of textbooks purchased at $59 per book, and y represents the total amount ofmoney spent on textbooks. What is an equation of the form y = ax for this situation?

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Write the word or phrase that best completes each statement or answers the question. -As part of a physics experiment, Ming drops a baseball from the top of a 345-foot building. To the nearesttenth of a second, for how many seconds will the baseball fall? (Hint: Use the formula Write the word or phrase that best completes each statement or answers the question. -As part of a physics experiment, Ming drops a baseball from the top of a 345-foot building. To the nearesttenth of a second, for how many seconds will the baseball fall? (Hint: Use the formula   whichgives the distance h, in feet, that a free-falling object travels in t seconds.) whichgives the distance h, in feet, that a free-falling object travels in t seconds.)

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Write the word or phrase that best completes each statement or answers the question. -Write the word or phrase that best completes each statement or answers the question. -

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Solve the equation. -6(x + 5)= 7x - (3 - x)

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Translate the sentence into a mathematical equation. Be sure to identify the meaning of all symbols. -The volume of a right prism is the area of the base times the height of the prism.

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Write the word or phrase that best completes each statement or answers the question. -Write the word or phrase that best completes each statement or answers the question. -

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Write the word or phrase that best completes each statement or answers the question. -Write the word or phrase that best completes each statement or answers the question. -

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Solve the equation. -(x + 8)(x - 1)= Solve the equation. -(x + 8)(x - 1)=

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Find the real solutions, if any, of the equation. Use the quadratic formula and a calculator. Express any solutions rounded to two decimal places. -Find the real solutions, if any, of the equation. Use the quadratic formula and a calculator. Express any solutions rounded to two decimal places. -

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Solve the equation. -Solve the equation. -

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Perform the indicated operations and express your answer in the form a + bi. -Perform the indicated operations and express your answer in the form a + bi. -

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