Exam 10: Graphing Equations and Inequalities

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Graph the inequality. - y<12xy < - \frac { 1 } { 2 } x  Graph the inequality. - y < - \frac { 1 } { 2 } x

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Name the quadrant or axis in which the point lies. -(-3, 0)

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Solve. Assume the exercise describes a linear relationship. When writing a linear equation, write the equation in slope-intercept form. -An investment is worth $3038 in 1991. By 1996 it has grown to $4908. Let y be the value of the investment in the year x, where x = 0 represents 1991. Write a linear equation that models the value of the investment in the Year x.

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Fill in the blank with one of the words or phrases listed below. y-axis x-axis solution linear standard point-slope x-intercept y -intercept y x slope relation domain range direct inverse slope-intercept function -The horizontal number line in the rectangular coordinate system is called the_______ .

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Graph the linear equation. -y = -5 Graph the linear equation. -y = -5

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Solve. Assume the exercise describes a linear relationship. When writing a linear equation, write the equation in slope-intercept form. -In 1995 the United States recovered 26% of its municipal solid wastes through recycling, up from 17% in 1990. Let y represent the percentage recycled and x the number of years since 1990. Find a linear equation that fits this Data.

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Determine the coordinates of the indicated point on the graph. Determine the coordinates of the indicated point on the graph.   -E -E

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Find the domain and range. -{(6, -6), (4, 9), (2, -2), (-9, -4), (5, 1)}

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Graph. - y2xy \geq 2 x  Graph. - y \geq 2 x

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Complete the ordered pairs so that they are solutions of the given linear equation. -y = -x + 7; (4, ), (7, ), (0, )

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Plot the ordered pair. -(-1, 5) Plot the ordered pair. -(-1, 5)

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Use the vertical line test to determine whether or not the graph is a graph of a function. -Use the vertical line test to determine whether or not the graph is a graph of a function. -

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Find an equation of the line passing through each pair of points. Write the equation in the form Ax + By = C. -Through (1, 6)and parallel to the y-axis.

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Write an equation to describe the variation. Use k for the constant of proportionality. -a varies directly ay as z4z ^ { 4 }

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Write a direct variation equation, y = kx, that satisfies the ordered pairs in the table. - -5 0 2 9 15 0 -6 -27

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Use the slope-intercept form to graph the equation. -y = - 3x Use the slope-intercept form to graph the equation. -y = - 3x

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Find the slope of the line. -x + 2y = 1

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Identify the intercepts. -Identify the intercepts. -

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Graph the inequality. - 2x5y10- 2 x - 5 y \leq 10  Graph the inequality. - - 2 x - 5 y \leq 10

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Determine whether the ordered pairs given are solutions of the linear inequality in two variables. -x + 2y > -4: (5, -3)

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