Exam 1: Equations and Inequalities

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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 problem. -An experienced bank auditor can check a bankʹs deposits twice as fast as a new auditor. Working togetherit takes the auditors 24 hours to do the job. How long would it take the experienced auditor workingalone?

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

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

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Fill in the blank with the correct inequality symbol. -Fill in the blank with the correct inequality symbol. -

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Write the expression in the standard form a + bi. -If z = 6 - 6i and w = 7 + 4i, evaluate Write the expression in the standard form a + bi. -If z = 6 - 6i and w = 7 + 4i, evaluate

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Write the word or phrase that best completes each statement or answers the question. Solve the problem. -In one city, the local cable TV company charges $3.72 for each pay-per-view movie watched. In addition,each monthly bill contains a basic customer charge of $20.50. If last monthʹs bills ranged from a low of$31.66 to a high of $83.74, over what range did customers watch pay-per-view movies?

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Solve the equation. -Solve the equation. -

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Solve the equation in the complex number system. -Solve the equation in the complex number system. -

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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 problem. -Mary and her brother John collect foreign coins. Mary has twice the number of coins that John has.Together they have 135 foreign coins. Find how many coins Mary has.

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Write the expression in the standard form a + bi. -(9 + 6i)- (-3 + i)

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Write the expression in the standard form a + bi. -(9 + 3i)(9 - 3i)

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Express the graph shown using interval notation. Also express it as an inequality involving x. -Express the graph shown using interval notation. Also express it as an inequality involving x. -

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Find the real solutions, if any, of the equation. Use the quadratic formula. -Find the real solutions, if any, of the equation. Use the quadratic formula. -

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Solve the problem. -Two cars start from the same point and travel in the same direction. If one car is traveling 59 miles perhour and the other car is traveling at 49 miles per hour, how far apart will they be after 5.9 hours?

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Solve the equation. -Solve the equation. -

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Solve the equation. -Solve the equation. -

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Write the inequality using interval notation, and illustrate the inequality using the real number line. -Write the inequality using interval notation, and illustrate the inequality using the real number line. -

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Solve the problem. -Center City East Parking Garage has a capacity of 253 cars more than Center City West Parking Garage. Ifthe combined capacity for the two garages is 1,223 cars, find the capacity for each garage.

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