Exam 1: Equations and Inequalities

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Solve the problem. -The radiator in a certain make of car needs to contain 40 liters of 40% antifreeze. The radiator now contains40 liters of 20% antifreeze. How many liters of this solution must be drained and replaced with 100%antifreeze to get the desired strength?

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Solve the equation. -Solve the equation. -

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Solve a Quadratic Equation by Completing the Square Write the word or phrase that best completes each statement or answers the question. Solve the equation by completing the square. -Solve a Quadratic Equation by Completing the Square  Write the word or phrase that best completes each statement or answers the question. Solve the equation by completing the square. -

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Solve the equation. -6x - 4 + 7(x + 1)= -5x - 7

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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 by factoring. -Solve the equation by factoring. -

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Solve the problem. -Tracy can wallpaper 2 rooms in a new house in 4 hours. Together with her trainee they can wallpaper the2 rooms in 3 hours. How long would it take the trainee working by herself to do the job?

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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. -  - 5x + 6 = 0 - 5x + 6 = 0

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Solve the equation. -Solve the equation. -

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Write the inequality obtained by performing the indicated operation on the given inequality. -Subtract 1 from each side of the inequality Write the inequality obtained by performing the indicated operation on the given inequality. -Subtract 1 from each side of the inequality

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Solve the equation. -Solve the equation. -

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Solve the problem. -It costs $20 per hour plus a flat fee of $35 for a plumber to make a house call. What is an equation of theform y = ax + b for this situation?

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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 formula for the indicated variable. -Solve the formula for the indicated variable. -

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Write the word or phrase that best completes each statement or answers the question. -x(x - 9)+ 20 = 0

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Write the expression in the standard form a + bi. -(7 + 3i)(5 - 6i)

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Solve the problem. -x represents the number of cassette tapes sold at $10.00 per tape, and y represents the total cost of thecassette tapes. After writing an equation for this situation, what is the total cost of 4 cassettes?

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Solve the problem. -The manager of a candy shop sells chocolate covered peanuts for $5 per pound and chocolate coveredcashews for $14 per pound. The manager wishes to mix 80 pounds of the cashews to get a cashew-peanutmixture that will sell for $7 per pound. How many pounds of peanuts should be used?

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Solve the equation. -13(9x - 4)= 5x - 4

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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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