Exam 2: Linear Equations and Inequalities

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Solve the inequality. Graph the solution set. Solve the inequality. Graph the solution set.

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A movie theater has a total of 400 seats. For a special Saturday night preview, they reserve 30 seats to give away to their VIP guests at no charge. If x represents the number of tickets they can sell for the preview, then x can be found by solving the equation x + 30 = 400. Tickets for the preview are $7.50 each. Solve the equation for x and find the maximum amount of money they can make from ticket sales.

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Solve the equation. Solve the equation.     __________ Solve the equation.     __________ __________

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Simplify both sides of the equation as much as possible, and then solve. Simplify both sides of the equation as much as possible, and then solve.

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Solve the equation. Solve the equation.

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Solve the equation. Solve the equation.   x = __________ x = __________

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Simplify the expression. Simplify the expression.

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Evaluate the expression when x is -4 and y is 6. Evaluate the expression when x is -4 and y is 6.

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Graph the solution set for the compound inequality. Graph the solution set for the compound inequality.   and  and Graph the solution set for the compound inequality.   and

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Use the equation Use the equation   to find   when   is 2. to find Use the equation   to find   when   is 2. when Use the equation   to find   when   is 2. is 2.

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One number is five more than twice another. If their sum is decreased by ten, the result is ten. Find the numbers.

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Solve the equation. Solve the equation.   y = __________ y = __________

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Solve the equation. Solve the equation.

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Simplify both sides of the equation as much as possible, and then solve. Simplify both sides of the equation as much as possible, and then solve.     __________ Simplify both sides of the equation as much as possible, and then solve.     __________ __________

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Graph the compound inequality. Graph the compound inequality.   or  or Graph the compound inequality.   or

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Solve for the indicated variable. Solve for the indicated variable.   for  for Solve for the indicated variable.   for

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20 is 50% of what number?

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Two angles in a triangle are equal and their sum is four times as the third angle in the triangle. What are the measures of each of the three interior angles?

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If 23% of your monthly pay is withheld for federal income taxes and another 9% is withheld for Social Security, state income tax, and other miscellaneous items, leaving you with $995.50 a month in take-home pay, then the amount you earned before the deductions were removed from your check is given by the equation. If 23% of your monthly pay is withheld for federal income taxes and another 9% is withheld for Social Security, state income tax, and other miscellaneous items, leaving you with $995.50 a month in take-home pay, then the amount you earned before the deductions were removed from your check is given by the equation.   Solve this equation to find your gross income to the nearest dollar. Solve this equation to find your gross income to the nearest dollar.

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USA Today reported in 1999 that the median starting salary of graduates of Stanford University's business school was $88,900, which was 15% more than it was the year before. What was the median starting salary of the 1998 graduates of Stanford University's business school? Round your answer to the nearest dollar.

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