Exam 1: Equations, Inequalities, and Modeling

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Solve the equation. -13(8c - 2) = 4c - 2

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Solve the equation. -2(x + 2) = 2 - 4(x + 2)

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Find the slope of the line described. -A line parallel to the line y = 17.

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Solve the problem. -A study was conducted to compare the average time spent in the lab each week versus course grade for computer students. The results are recorded in the table below. By using linear regression, the following Function is obtained: y = 88.6 - 1.86x where x is the number of hours spent in the lab and y is grade on the test. Use this function to predict the grade of a student who spends 13 hours in the lab. Solve the problem. -A study was conducted to compare the average time spent in the lab each week versus course grade for computer students. The results are recorded in the table below. By using linear regression, the following Function is obtained: y = 88.6 - 1.86x where x is the number of hours spent in the lab and y is grade on the test. Use this function to predict the grade of a student who spends 13 hours in the lab.

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Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. -Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. -

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Use the appropriate formula to solve the problem. -Levi borrowed $3859 at 14% simple interest for 4 months. How much will the interest amount to? What is the total amount that Levi will have to pay back at the end of 4 months? Round answers to the nearest cent if Necessary.

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Change the equation to slope-intercept form and identify the slope and y-intercept. -2x - 7y = 1

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Perform the indicated operations and write the answer in the form a + bi, where a and b are real numbers. -7i(6 - 7i)

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Solve the problem using your calculator. -A study was conducted to compare the average time spent in the lab each week versus course grade for computer students. The results are recorded in the table below. Use linear regression to find a linear function That predicts a student's course grade as a function of the number of hours spent in lab. Solve the problem using your calculator. -A study was conducted to compare the average time spent in the lab each week versus course grade for computer students. The results are recorded in the table below. Use linear regression to find a linear function That predicts a student's course grade as a function of the number of hours spent in lab.

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Solve the absolute value equation. -Solve the absolute value equation. -

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Write the solution set in interval notation. -x < -27

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Find the distance between the points, and find the midpoint of the line segment joining them. -(8a, 9) and (9a, 6)

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Solve the absolute value inequality. Write the solution set using interval notation. -5 Solve the absolute value inequality. Write the solution set using interval notation. -5

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Solve the problem. -Company A rents copiers for a monthly charge of $160 plus 8 cents per copy. Company B rents copiers for a monthly charge of $320 plus 4 cents per copy. What is the number of copies above which Company A's charges Are the higher of the two?

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Solve the problem. -Decide whether or not the points are the vertices of a right triangle. (-9, -1), (-4, -1), (-4, 7)

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Solve the problem. -Sarah and Shakina are running in a 4-lap, 1 mile race. Shakina is exactly one lap behind at the moment when Sarah completes her second lap. If Sarah averages 0.19 miles per minute for her last two laps, what must Shakina's average speed be in order for her to just pull even with Sarah at the finish line?

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Solve the formula for the specified variable. -a + b = s + r for s

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Find the values of x for which the expression is a real number. -Find the values of x for which the expression is a real number. -

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Solve the problem. -Decide whether or not the points are the vertices of a parallelogram. (-12, -10), (-10, 0), (3, 7), (1, -3)

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Solve the problem. -Walt made an extra $9000 last year from a part-time job. He invested part of the money at 9% and the rest at 6%. He made a total of $720 in interest. How much was invested at 6%?

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