Exam 2: Linear Equations and Inequalities With One Variable

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Given the solution set drawn on the number line give the solution in interval notation. Given the solution set drawn on the number line give the solution in interval notation.

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A hotel finds that if it spends no money on renovations they will be able to rent 145 rooms per night. However they have found that for every $3500 spent on renovations they will be able to rent an additional 25 rooms per night. Let x represent the amount of money spent on renovations and y represent the number of rooms rented. How much money will need to be spent on renovations in order to rent 400 rooms per night?

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Simplify the equation Simplify the equation   . .

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After taking a bath you begin to drain the water from the bathtub. The water drains at 2.5 gallons per minute. After 9 minutes there are 27 gallons of water remaining. Which one of the following linear equations describe the number of gallons of water in the tub relative to the number of minutes since you began draining the tub?

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Your cell phone plan costs $40 per month and includes 450 voice minutes. Each minute or fraction of a minute over the 450 costs $0.55 per minute. Your budget allows at most $55 for your cell phone bill. Let m be the minutes over 450 that you talk. Solve the inequality to determine how many minutes over 450 you could talk and still remain within your budget.

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Translate the sentence into an equation. The product of five and a number n is equal to four less than the number.

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Simplify the equation Simplify the equation   . .

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The owner of a gas station records the number of gallons of gas he sells over a period of time. He notices that the number of gallons of gas he sells depends linearly on the price he charges for each gallon. When he charges $1.71 per gallon of gas he sells 800 gallons of gas each day. When he charges $2.41 per gallon he sells 400 gallons. What does the slope of the line convey about the situation?

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The cost for a cell phone plan at Store A starts at $26.99 per month plus $0.04 per minute. The cost for a cell phone plan at Store B starts at $36.99 per month plus $0.02 per minute. Determine the number of cell phone minutes used for which the monthly cost is the same at both Store A and Store B.

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Given the solution set drawn on the number line give the solution in inequality notation. Given the solution set drawn on the number line give the solution in inequality notation.

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The solution to the equation The solution to the equation   is  is The solution to the equation   is

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A water tank is being drained at the rate of 19 gal/min. The tank started with 16850 gallons of water. Which of the following linear functions model the number of gallons of water in the tank at any time t .

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The solution to the equation The solution to the equation   is  is The solution to the equation   is

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Your college expenses this semester E are tuition T books B and a calculator c. The literal equation Your college expenses this semester E are tuition T books B and a calculator c. The literal equation   describes your college expenses. If your expenses were $1800 tuition was $1300 and books cost $450 find how much money you have for a new calculator. describes your college expenses. If your expenses were $1800 tuition was $1300 and books cost $450 find how much money you have for a new calculator.

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The cost of college tuition for 12 credit hours at two local colleges during 2003 to 2008 is shown in the table below. Determine the year that the cost of tuition at School A is expected to be less than the cost of tuition at School B? The cost of college tuition for 12 credit hours at two local colleges during 2003 to 2008 is shown in the table below. Determine the year that the cost of tuition at School A is expected to be less than the cost of tuition at School B?

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Solve the inequality. Solve the inequality.

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For the equation For the equation   the solution is   . the solution is For the equation   the solution is   . .

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Given the solution set drawn on the number line give the solution in interval notation. Given the solution set drawn on the number line give the solution in interval notation.

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The number of donuts in a box is x. The number of donuts in two boxes would be 18 donuts. How many donuts are in one box?

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Find the point at which the graphs of the two linear equations intersect. Find the point at which the graphs of the two linear equations intersect.

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