Exam 1: Equations, Inequalities, and Modeling

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Find the equation of the line through the given pair of points in standard form using only integers. -(3, -2) and (3, 2)

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Write the quotient in the form a + bi. -- Write the quotient in the form a + bi. --

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Evaluate the indicated power of i. -Evaluate the indicated power of i. -

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Find the center and radius of the circle. -Find the center and radius of the circle. -

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Solve the problem. -Anne and Nancy use a metal alloy that is 20.75% copper to make jewelry. How many ounces of a 19% alloy must be mixed with a 24% alloy to form 80 ounces of the desired alloy?

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Use the appropriate formula to solve the problem. -Find the corresponding Fahrenheit temperature for a temperature of 23°C. Round to the nearest tenth, if necessary.

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Decide whether the given number is a solution to the equation preceding it. -Decide whether the given number is a solution to the equation preceding it. -

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Evaluate the indicated power of i. -Evaluate the indicated power of i. -

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Solve the compound inequality. Write the solution set using interval notation and graph it. -Solve the compound inequality. Write the solution set using interval notation and graph it. -

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Solve the compound inequality. Write the solution set using interval notation and graph it. -Solve the compound inequality. Write the solution set using interval notation and graph it. -

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Solve the problem. -Find the value of k so that the graph of 9y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.

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Solve the problem. -The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. By using linear regression, the following function is obtained: y = 67.3 + 1.07x where x is Number of hours studied and y is score on the test. Use this function to predict the score on the test of a student Who studies 10 hours. Solve the problem. -The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. By using linear regression, the following function is obtained: y = 67.3 + 1.07x where x is Number of hours studied and y is score on the test. Use this function to predict the score on the test of a student Who studies 10 hours.

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Evaluate the indicated power of i. -Evaluate the indicated power of i. -

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Change the equation to slope-intercept form and identify the slope and y-intercept. -y + 8 = Change the equation to slope-intercept form and identify the slope and y-intercept. -y + 8 =   (x - 5) (x - 5)

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Evaluate the expression Evaluate the expression   for each choice of a, b, and c. -a = 1, b = 0, c = 216 for each choice of a, b, and c. -a = 1, b = 0, c = 216

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

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Write as a single interval. -Write as a single interval. -

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Solve the problem. -An airplane flies from Metro City to Gotham with a tailwind that increases its normal speed by 120 mph. On the return trip, the plane must fly against this wind, which decreases its normal speed by the same amount. The Flight from Metro City takes 1.70 hours and the return trip takes 3.48 hours. How far is it from Metro City to Gotham?

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Find the solution to the given equation by reading the accompanying graph. -Find the solution to the given equation by reading the accompanying graph. -

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Write as a single interval. -Write as a single interval. -

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