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Graphing Inequalities Test
About Graphing Linear Inequalities in two Variables:

To graph a linear inequality in two variables we solve our inequality for y and replace the inequality symbol with an equality symbol. We then graph this equality as our boundary line. The boundary line separates the solution region from the non-solution region. We can then shade above the boundary line for a greater than, or below the line for a less than.

Test Objectives:

•Demonstrate the ability to place an equation in slope-intercept form

•Demonstrate the ability to graph a boundary line

•Demonstrate the ability to graph a linear inequality in two variables

Graphing Linear Inequalities in two Variables Test:




#1:


Instructions: Graph each linear inequality.


a) $$7x - 3y ≥ -15$$

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#2:


Instructions: Graph each linear inequality.


a) $$y ≥ 7$$

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#3:


Instructions: Graph each linear inequality.


a) $$5x + 3y < 12$$

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#4:


Instructions: Graph each compound inequality.


a) $$6x + y < 3$$ or $$6x + y ≥ 6$$

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#5:


Instructions: Graph each compound inequality.


a) $$x ≤ -3$$ and $$2x + 3y ≥ -3$$

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Written Solutions:




#1:


Solution:


a) $$y ≤ \frac{7}{3}x + 5$$


graphing a linear inequality in two variables

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#2:


Solution:


a) $$y ≥ 7$$


graphing a linear inequality in two variables

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#3:


Solution:


a) $$y < -\frac{5}{3}x + 4$$


graphing a linear inequality in two variables

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#4:


Solution:


a) $$y < -6x + 3$$ or $$y≥ -6x + 6$$


graphing a linear inequality in two variables

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#5:


Solution:


a) $$x ≤ -3$$ and $$y ≥ -\frac{2}{3}x - 1$$


graphing a linear inequality in two variables

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