Algebra 1 6-5 Independent Practice: Linear Inequalities

by Matthew Richardson

| 8 Questions1

10

Is (-1, 4) a solution of the inequality? Explain.

Yes. Substituting the ordered pair (-1, 4) into the inequality makes it true.

No. Substituting the ordered pair (-1, 4) into the inequality makes it false.

2

10

Graph the linear inequality on the canvas below by hand, without the aid of a graphing utility.

After that, graph the inequality on the embedded Desmos graphing calculator above.

Edit your graph, as needed.

As always, include important graph detail: label the axes, indicate axis scale by labeling at least one value on each axis, add arrows to the ends of lines, ensure that your line is appropriately dashed or solid, and shade one side of the boundary line, as appropriate.

3

10

Graph the linear inequality. Zoom and pan your graph to establish an appropriate viewing window.

4

4

10

What is an inequality that represents the graph shown?

A

B

C

D

5

10

Vocabulary: How is a linear inequality in two variables like a linear equation in two variables? How are they different?

6

10

Writing: To graph the inequality below, do you shade above or below the boundary line? Explain.

Above; The inequality sign < indicates all values less than. y-values decrease as you move down a coordinate plane.

Below; The inequality sign < indicates all values less than. y-values decrease as you move down a coordinate plane.

7

10

Reasoning: Write an inequality that describes the region of the coordinate plane not included in the graph of the inequality below.

8

10

Reflection: Math Success

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