Free Printable Graphing Inequalities in Two Variables

1.

Tell whether the ordered pair is a solution of the inequality.

a)

Yes, it is a solution

b)

No, is is not a solution

2.

Tell whether the ordered pair is a solution of the inequality.

a)

Yes, it is a solution

b)

No, is is not a solution

3.

Which ordered pair IS a solution of the inequality shown in the graph?

a)

(1, 0)

b)

(2, -2)

c)

(-1, -1)

d)

(-1, 3)

4.

Choose the correct inequality for this graph.

a)

$y>2x-3$

b)

$y\ge2x-3$

c)

$y<2x-3$

d)

$y\le2x-3$

5.

Choose the correct inequality for this graph.

a)

$y>-x+2$

b)

$y\ge-x+2$

c)

$y<-x+2$

d)

$y\le-x+2$

6.

Choose the correct inequality for this graph.

a)

$y>\frac{1}{3}x-1$

b)

$y\ge\frac{1}{3}x-1$

c)

$y<3x+1$

d)

$y\le3x+1$

7.

Choose the correct inequality for this graph.

a)

$y<-1$

b)

$y\le-1$

c)

$x<-1$

d)

$x\le-1$

8.

Choose the correct inequality for this graph.

a)

$y>-2$

b)

$y\ge-2$

c)

$x>-2$

d)

$x\ge-2$

9.

Transform 3𝑥 − 2𝑦 < 7 into slope- intercept form.

a)

𝑦 < 3/2 𝑥 + 7/2

b)

𝑦 > 3/2 𝑥 + 7/2

c)

𝑦 > 3/2 𝑥 − 7/2

d)

𝑦 > 2/3 𝑥 − 7/3

10.

What type of line is used with the following symbols, < and >?

a)

dashed or dotted

b)

solid

11.

What type of line is used with the following symbols, < and >?

a)

dashed or dotted

b)

solid

12.

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

a)

x + 2y < 240

b)

x + 2y > 240

c)

x + 2y ≤ 240

d)

x + 2y ≥ 240

13.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

a)

Yes because it is located in the shaded region.

b)

No because it is located on the line and the line is dotted.

c)

Yes because it is located on the line.

d)

No because it is in the shaded region.

14.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

15.

Determine whether point A is a solution to the linear inequality that is shown.

a)

Yes, because it is on the line.

b)

No, because it is on the line.

c)

Maybe, but it depends on what the inequality is.

d)

Maybe not, but it depends on what the inequality is.

Graphing Inequalities in Two Variables

Total questions: 15

Worksheet time: 30mins

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