Exam 10: Graphing Equations and Inequalities

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Plot the ordered pair. -(5, 6) Plot the ordered pair. -(5, 6)

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State whether the graph of each inequality includes its corresponding boundary line. -x + y > 7

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State whether the slope of the line is positive, negative, 0, or is undefined. -State whether the slope of the line is positive, negative, 0, or is undefined. -

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Solve the problem. -The table gives the number of basic cable TV subscribers (in millions)for a certain region for the years shown. Year Basic Cable TV Subscribers (in millions) 2000 0.2 2001 1.1 2002 0.7 2003 1.2 2004 1.8 2005 1.9 a. Write this data as a set of ordered pairs of the form (year, number of basic cable TV subscribers in millions). b. Create a scatter diagram of the data. Be sure to label the axes properly.  Solve the problem. -The table gives the number of basic cable TV subscribers (in millions)for a certain region for the years shown.  \begin{array} { c | c }  \text { Year } & \text { Basic Cable TV Subscribers (in millions) } \\ \hline 2000 & 0.2 \\ 2001 & 1.1 \\ 2002 & 0.7 \\ 2003 & 1.2 \\ 2004 & 1.8 \\ 2005 & 1.9 \end{array}  a. Write this data as a set of ordered pairs of the form (year, number of basic cable TV subscribers in millions). b. Create a scatter diagram of the data. Be sure to label the axes properly.

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

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Use the slope-intercept form to graph the equation. - y=13x+3y = - \frac { 1 } { 3 } x + 3  Use the slope-intercept form to graph the equation. - y = - \frac { 1 } { 3 } x + 3

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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 vertical number line in the rectangular coordinate system is called the_______ .

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Name the quadrant or axis in which the point lies. -(-2, -11)

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Find the slope of the line. -Find the slope of the line. -

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Complete the ordered pairs so that they are solutions of the given linear equation. -y = 12\frac { 1 } { 2 } xx - 4; (6, ), ( ,-5)

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Graph the inequality. -3x + y \leqslant -6  Graph the inequality. -3x + y  \leqslant  -6

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Solve. -The table shows the average hourly wage for non-managerial office workers in a town in Indiana (in dollars)for the years shown. Write each paired data as an ordered pair of the form (year, wage). Then create a scatter diagram of the ordered pairs. Average Hourly Wage Year Average Hourly Wage (in dollars) 1994 10.54 1995 11.16 1996 12.45 1997 11.94 1998 12.05 1999 13.71

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State whether the slope of the line is positive, negative, 0, or is undefined. -State whether the slope of the line is positive, negative, 0, or is undefined. -

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Find the slope of the line. -Find the slope of the line. -

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Write an equation to describe the variation. Use k for the constant of proportionality. -z varies directly as s

(Multiple Choice)
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Complete the ordered pairs for the given linear equation. Then plot the points and graph the equation by connecting the points. -y = 2x + 5 (0,),(1,),(1,)( 0 , \quad ) , ( 1 , \quad ) , ( - 1 , )  Complete the ordered pairs for the given linear equation. Then plot the points and graph the equation by connecting the points. -y = 2x + 5  ( 0 , \quad ) , ( 1 , \quad ) , ( - 1 , )

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Graph the inequality. - y5y \leq - 5  Graph the inequality. - y \leq - 5

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Name the quadrant or axis in which the point lies. -(0, -10)

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Plot the ordered pair. -(0, -3) Plot the ordered pair. -(0, -3)

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Decide whether the relation defines a function. -{(-8, 3), (-8, -9), (1, 6), (6, -5), (7, 2)}

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