Exam 1: Equations, Inequalities, and Modeling

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Solve the problem. -The position of an object moving in a straight line is given by Solve the problem. -The position of an object moving in a straight line is given by   where s is in feet and t is the time in seconds the object has been in motion. How long (to the nearest tenth) will it take the object to move 18 feet? where s is in feet and t is the time in seconds the object has been in motion. How long (to the nearest tenth) will it take the object to move 18 feet?

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Change the equation to slope-intercept form and identify the slope and y-intercept. -y + 13 = 0

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Identify the complex number as real or imaginary. -Identify the complex number as real or imaginary. -

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Name the quadrant in which the point is located, or the axis on which it lies . -(-3, 9)

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Solve the equation. -Solve the equation. -

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Write an equation in standard form using only integers for the line described. -The line through (0, 4), perpendicular to Write an equation in standard form using only integers for the line described. -The line through (0, 4), perpendicular to

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Find the real solutions for the given quadratic equation. Round results to two decimal places. -Find the real solutions for the given quadratic equation. Round results to two decimal places. -  + 12.7x + 2.5 = 0 + 12.7x + 2.5 = 0

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Name the quadrant in which the point is located, or the axis on which it lies . -(-11, -19)

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

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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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Solve the formula for the specified variable. -Solve the formula for the specified variable. -

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The distance d from the point The distance d from the point   to the line Ax + By = C is given by the formula d   Find the exact distance from the given point to the given line. -(-5, 7), y = -2x + 3 to the line Ax + By = C is given by the formula d The distance d from the point   to the line Ax + By = C is given by the formula d   Find the exact distance from the given point to the given line. -(-5, 7), y = -2x + 3 Find the exact distance from the given point to the given line. -(-5, 7), y = -2x + 3

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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. -A water tank can be filled in 5 minutes and emptied in 9 minutes. If the drain is accidentally left open when the tank is being filled, how long does it take to fill the tank?

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Solve the problem. -The graph shows an idealized linear relationship for the average monthly payments to retirees from 1995 through 1999. Find the midpoint of the line segment to estimate the payment for 1997. Average Monthly Payments to Retiree Solve the problem. -The graph shows an idealized linear relationship for the average monthly payments to retirees from 1995 through 1999. Find the midpoint of the line segment to estimate the payment for 1997. Average Monthly Payments to Retiree    Solve the problem. -The graph shows an idealized linear relationship for the average monthly payments to retirees from 1995 through 1999. Find the midpoint of the line segment to estimate the payment for 1997. Average Monthly Payments to Retiree

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Solve the equation. -Solve the equation. -

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Graph the equation. -Graph the equation. -

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Use the method of your choice to find all real solutions of the equation. -Use the method of your choice to find all real solutions of the equation. -

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Use the square root property to find all real or imaginary solutions to the equation. -Use the square root property to find all real or imaginary solutions to the equation. -  = - 5 = - 5

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Find the real or imaginary solutions by completing the square. -Find the real or imaginary solutions by completing the square. -  + 6x - 3 = 0 + 6x - 3 = 0

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