Exam 5: Coordinate Geometry and Linear Systems

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Graph of what equation is represented on the figure? Graph of what equation is represented on the figure?

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Indicate the solution set for the system of linear inequalities by shading the appropriate region. (y<12x+1y<12x3)\left( \begin{array} { l } y < \frac { 1 } { 2 } x + 1 \\y < \frac { 1 } { 2 } x - 3\end{array} \right)

(Multiple Choice)
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Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. (23x+14y=032x38y=15)\left( \begin{array} { c } \frac { 2 } { 3 } x + \frac { 1 } { 4 } y = 0 \\\frac { 3 } { 2 } x - \frac { 3 } { 8 } y = - 15\end{array} \right)

(Short Answer)
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Graph of what equation is represented on the figure? Graph of what equation is represented on the figure?

(Multiple Choice)
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Use the elimination-by-addition method to solve the system. (6x+5y=145x7y=33)\left( \begin{array} { c } 6 x + 5 y = - 14 \\5 x - 7 y = 33\end{array} \right)

(Multiple Choice)
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Find the slope of the line determined by this pair of points. (2, -2), (11, 0)

(Multiple Choice)
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Use the elimination-by-addition method to solve the system. (4x6y=104x+2y=14)\left( \begin{array} { c } 4 x - 6 y = 10 \\4 x + 2 y = - 14\end{array} \right)

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Solve the given equation for the variable indicated. 3 x + 8 y = 11 for y

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Find the equation of the line with the given slope and y -intercept. Express the final equation in slope-intercept form. m = 9, b = - 4

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Graph the inequality. x+3y<9- x + 3 y < - 9

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Match the following inequalities with the corresponding graphs. -Match the following inequalities with the corresponding graphs. -

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Find the slope of the line y = 5 x by finding the coordinates of two points on it.

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Match the equations with their graphs. -Match the equations with their graphs. -

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Write the equation of the line that satisfies the given condition: x intercept of 4 and y intercept of -16. Simplify your answer as much as possible. Express the final equation in standard form.

(Short Answer)
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Find the slope of the line determined by this pair of points. (10,2),(4,12)( - 10 , - 2 ) , ( - 4 , - 12 )

(Short Answer)
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Match the following inequalities with the corresponding graph. -Match the following inequalities with the corresponding graph. -

(Multiple Choice)
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Find the slope of the line y = 5 x by finding the coordinates of two points on it.

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What inequality is illustrated below? What inequality is illustrated below?

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Decide which of the given ordered pairs is a solution of the given system of equations. (y=3xy2x=0)\left( \begin{array} { l } y = - 3 x \\y - 2 x = 0\end{array} \right)

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An online grocery store charges for delivery based on the equation C=1.20pC = 1.20 p , where CC represents the cost in dollars, and pp represents the weight of the groceries in pounds. Label the horizontal axis pp and the vertical axis C\mathrm { C } , and graph the equation C=1.20pC = 1.20 p for nonnegative values of pp .

(Multiple Choice)
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