Exam 2: Linear Equations and Inequalities With One Variable

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m is directly proportional to n . If m is directly proportional to n . If   is the constant of proportionality then find n when   . (Rounded to the nearest hundredth) is the constant of proportionality then find n when m is directly proportional to n . If   is the constant of proportionality then find n when   . (Rounded to the nearest hundredth) . (Rounded to the nearest hundredth)

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If If   and   then   . and If   and   then   . then If   and   then   . .

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A rectangular room has walls that measure x and A rectangular room has walls that measure x and   . The perimeter of the room is 42 feet. Find the length of each side of the room. . The perimeter of the room is 42 feet. Find the length of each side of the room.

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For any value of y For any value of y   . .

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Your cell phone plan costs $42 per month and includes 500 voice minutes. Each minute or fraction of a minute over the 500 costs $0.50 per minute. Your budget allows at most $60 for your cell phone bill. Let m be the minutes over 500 that you talk. Solve the inequality to determine how many minutes over 500 you can talk and still remain within your budget. Write the solution as an inequality and as a complete sentence.

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Solve the inequality. Solve the inequality.

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The mass of bacteria (in micrograms) in a Petri dish for different times is shown in the table below. Determine the average rate of change of the bacteria from 8:30 am to 10:30 am? (Rounded to the nearest hundredths) The mass of bacteria (in micrograms) in a Petri dish for different times is shown in the table below. Determine the average rate of change of the bacteria from 8:30 am to 10:30 am? (Rounded to the nearest hundredths)

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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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For the linear equation For the linear equation   find the   -intercept. find the For the linear equation   find the   -intercept. -intercept.

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Solve the inequality. Solve the inequality.

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

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

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The y -intercept of the function The y -intercept of the function   is   . is The y -intercept of the function   is   . .

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A beanstalk grows at a constant rate. The beanstalk s height (inches) as a function of time (days) is modeled by A beanstalk grows at a constant rate. The beanstalk s height (inches) as a function of time (days) is modeled by   . At what rate is the beanstalk growing? . At what rate is the beanstalk growing?

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Given the graph below find the rise over run between any two points. Given the graph below find the rise over run between any two points.

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c is directly proportional to r . If c is directly proportional to r . If   then   . Find the constant of proportionality. (Rounded to the nearest hundredth) then c is directly proportional to r . If   then   . Find the constant of proportionality. (Rounded to the nearest hundredth) . Find the constant of proportionality. (Rounded to the nearest hundredth)

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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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If the slope of a line is m = If the slope of a line is m =   then the change in the run is 13. then the change in the run is 13.

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To solve an inequality the steps are the same as solving an equation except that when both sides are __________ or __________ by a negative number reverse the inequality symbol.

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A printing company determines that to print a large format poster it costs $75 to set up the production process. Each poster that is printed costs $25 in material and labor. The printing company sells these posters to marketing firms for $58 each. Determine the number of posters the printing company must sell to break even. [Note: profit = revenue - cost]

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