Exam 1: Equations, Inequalities, and Modeling

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Determine whether there is a linear relationship between the variables in the table. -Determine whether there is a linear relationship between the variables in the table. -

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Find the product of the complex number and its conjugate. --i

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Solve the problem. -An omelette costs $1.25 more than Mario's order of pancakes. After treating his family to breakfast, Mario is sure that 4 omelettes and 3 orders of pancakes cost more than $25 but not more than $40, including tax of 7% And a tip of $3.50. In what price range is an order of pancakes?

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Find the slope of the line described. -A line perpendicular to -5x + 5y = 6

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

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

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Write an equation in standard form using only integers for the line described. -The line parallel to y = 0 and containing (6, 4)

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Find the equation of the line in slope-intercept form. -The line through (5, 3) with slope Find the equation of the line in slope-intercept form. -The line through (5, 3) with slope

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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 equation. --5a + 5 + 6a = 14 - 21

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Write an inequality whose solution set is the interval. -Write an inequality whose solution set is the interval. -

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Find the x- and y-intercepts for the equation. Then graph the equation. -2x - 10y = 0 Find the x- and y-intercepts for the equation. Then graph the equation. -2x - 10y = 0

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Use the y-intercept and slope to sketch the graph of the equation. --3x - 6y = -9 Use the y-intercept and slope to sketch the graph of the equation. --3x - 6y = -9

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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. -Find the value of a for the line that passes through (a, -7) and (4,a) and has a slope of 6.

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Find the slope of the line described. -A line perpendicular to the line x = 18.

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Identify the complex number as real or imaginary. --4i

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Write an equation in standard form using only integers for the line described. -The line through (0, 3), perpendicular to Write an equation in standard form using only integers for the line described. -The line through (0, 3), perpendicular to

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Solve the problem. -A ladder is resting against a wall. The top of the ladder touches the wall at a height of 15 ft. Find the length of the ladder if the length is 5 ft more than its distance from the wall.

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Solve the problem. -The following table shows the height of a football at various times during a punt. Solve the problem. -The following table shows the height of a football at various times during a punt.   Use a graphing calculator to find a quadratic regression curve that expresses the height in terms of the time. Use the regression equation to find the approximate number of seconds that it will take for the ball to reach the Hands of the punt returner, who is 6' tall. Use a graphing calculator to find a quadratic regression curve that expresses the height in terms of the time. Use the regression equation to find the approximate number of seconds that it will take for the ball to reach the Hands of the punt returner, who is 6' tall.

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