Exam 1: Equations and Inequalities

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Solve the formula for the indicated variable. -PV = nRT for T

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Write the expression in the standard form a + bi. -Write the expression in the standard form a + bi. -

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Solve the problem. -Inclusive of a 6.3% sales tax, a diamond ring sold for $3,082.70. Find the price of the ring before the taxwas added. (Round to the nearest cent, if necessary.)

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Solve the problem. -The formula Solve the problem. -The formula   can be used to estimate the maximum safe velocity v, in miles per hour, at which acar can travel along a curved road with a radius of curvature r, in feet. To the nearest whole number, findthe radius of curvature if the maximum safe velocity is 35 miles per hour. can be used to estimate the maximum safe velocity v, in miles per hour, at which acar can travel along a curved road with a radius of curvature r, in feet. To the nearest whole number, findthe radius of curvature if the maximum safe velocity is 35 miles per hour.

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Solve the equation. -Solve the equation. -

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

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Solve the equation. -Solve the equation. -

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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. -  - 729 = 0 - 729 = 0

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Write the expression in the standard form a + bi. -Write the expression in the standard form a + bi. -

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Solve the problem. -An auto repair shop charged a customer $532 to repair a car. The bill listed $92 for parts and the remainderfor labor. If the cost of labor is $55 per hour, how many hours of labor did it take to repair the car?

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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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Write the word or phrase that best completes each statement or answers the question. -In his algebra class, Rob has scores of 79, 85, 81, and 65 on his first four tests. To get a grade of C, theaverage of the first five tests must be greater than or equal to 70 and less than 80. Solve an inequality tofind the range of scores that Rob can earn on the fifth test to get a C.

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Solve the equation. -Solve the equation. -

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Solve the equation. -Solve 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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Solve the problem. -It costs $19 per hour plus a flat fee of $32 for a plumber to make a house call. After writing an equation forthis situation, suppose the total cost to have a plumber come to a house is $203. How many hours did theplumber work?

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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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Write the expression in the standard form a + bi. -Write the expression in the standard form a + bi. -

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