Free Printable Graphing Inequalities in Two Variables

1.

For this symbol,
$\le$
is it a solid line or a dashed line?

a)

b)

2.

Match the inequality to the graph.

a)

$y\le x+2$

b)

$y<x+2$

c)

$y>x+2$

d)

$y\ge x+2$

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)

$y<\frac{3}{2}x+1$

b)

$y\le\frac{3}{2}x+1$

c)

$y<\frac{2}{3}x+1$

d)

$y\le\frac{2}{3}x+1$

8.

Choose the correct inequality for this graph.

a)

$y<-1$

b)

$y\le-1$

c)

$x<-1$

d)

$x\le-1$

9.

Choose the correct inequality for this graph.

a)

$y>-2$

b)

$y\ge-2$

c)

$x>-2$

d)

$x\ge-2$

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.

The inequality, x < 2, will make what type of line?

a)

dashed, vertical

b)

dashed, horizontal

c)

solid, vertical

d)

solid, horizontal

13.

The inequality, y < 2, will make what type of line?

a)

solid, horizontal

b)

solid, vertical

c)

dashed, horizontal

d)

dashed, vertical

14.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

15.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

16.

Which of the following is "NOT" a solution for the inequality?

y ≤ 5x - 1

a)

(0, -3)

b)

(5, 24)

c)

(-2, -15)

d)

(1, 7)

17.

Which inequality describes this graph...

a)

y < 3x - 2

b)

y > 3x + 2

c)

y < 3x + 2

d)

y > 3x -2

18.

Is this graph shaded above or below?

a)

above

b)

below

19.

Is this graph shaded above or below?

a)

above

b)

below

20.

Which of the following points satisfy the inequality 𝑦 < 2𝑥 – 3?

a)

(5, 2)

b)

(2, 2)

c)

(2, 5)

d)

(0, 1)

21.

What type of slope?

a)

zero

b)

undefined

c)

negative

d)

positive

22.

What type of slope?

a)

zero

b)

undefined

c)

negative

d)

positive

23.

What type of slope?

a)

zero

b)

undefined

c)

negative

d)

positive

24.

What type of slope?

a)

zero

b)

undefined

c)

negative

d)

positive

25.

What is the equation we use for slope-intercept form?

a)

$y=mx+b$

b)

$mx+b$

c)

$y=x$

d)

$y=bx+m$

26.

What variable do we use to represent slope?

a)

$b$

b)

$y$

c)

$m$

d)

$x$

27.

What variable do we use to represent y-intercept?

a)

$m$

b)

$b$

c)

$x$

d)

$y$

28.

A y-intercept of a graph is the y-coordinate of a point where the line crosses what?

a)

$y-axis$

b)

$x-axis$

c)

$ordered\ pair$

d)

$\left(x,y\right)$

29.

In order to write and graph linear equations in slope-intercept form, you need what 2 things?

a)

slope and

y-intercept

b)

x-intercept and

y-intercept

c)

slope and

x-intercept

d)

you only need the slope

30.

Identify the slope from the following linear equation:

$y=-\frac{1}{2}x+3$

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}x$

c)

$3$

d)

$-\frac{1}{2}$

31.

Identify the y-intercept from the following linear equation:

$y=-\frac{1}{2}x+3$

a)

$-3$

b)

$x$

c)

$3$

d)

$-\frac{1}{2}$

32.

Identify the slope from the following linear equation:

$y=\frac{2}{3}x-5$

a)

$\frac{2}{3}$

b)

$\frac{2}{3}x$

c)

$-5$

d)

$-\frac{2}{3}$

33.

Identify the y-intercept from the following linear equation:

$y=\frac{2}{3}x-5$

a)

$+5$

b)

$\frac{2}{3}$

c)

$-5$

d)

$x-5$

34.

Identify the slope from the following linear equation:

$y=-3x-1$

a)

$-3$

b)

$3x$

c)

$-1$

d)

$1$

35.

Identify the y-intercept from the following linear equation:

$y=-3x-1$

a)

$-3$

b)

$3$

c)

$-1$

d)

$1$

36.

Which of the following is an equation of the line with a slope of $-\frac{3}{5}$ and a y-intercept of $1$ ?

a)

$y=1x-\frac{3}{5}$

b)

$y=-\frac{3}{5}+1$

c)

$y=-\frac{3}{5}x+1$

d)

$y=\frac{3}{5}x-1$

37.

Which of the following is an equation of the line with a slope of $5$ and a y-intercept of $-2$ ?

a)

$y=5x-2$

b)

$5x-2$

c)

$y=-2x+5$

d)

$y=5x+2$

38.

Which of the following is an equation of the line with a slope of $\frac{1}{3}$ and a y-intercept of $8$ ?

a)

$\frac{1}{3}x+8$

b)

$y=8x+\frac{1}{3}$

c)

$y=\frac{1}{3}x-8$

d)

$y=\frac{1}{3}x+8$

39.

Find the y-intercept:

a)

$3$

b)

$-3$

c)

$0$

d)

there is not a

y-intercept

40.

Find the y-intercept:

a)

$1$

b)

$3$

c)

$0$

d)

there is not a

y-intercept

41.

Find the y-intercept:

a)

$4$

b)

$2$

c)

$0$

d)

-4

42.

Find the y-intercept:

a)

$1.5$

b)

$2$

c)

$-2$

d)

$\left(-2,2\right)$

43.

Find the slope:

a)

$-\frac{1}{3}$

b)

$-3$

c)

$\frac{1}{3}$

d)

$3$

44.

Find the slope:

a)

$\frac{2}{5}$

b)

$\frac{5}{2}$

c)

$-\frac{5}{2}$

d)

$-\frac{2}{5}$

45.

Name the slope.

a)

Zero slope

b)

1

c)

Undefined

d)

-1

46.

What type of slope does the graph have?

a)

positive

b)

negative

c)

zero

d)

undefined

47.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

48.

Find the slope.

a)

m = 0

b)

m = 6

c)

Undefined

d)

No solution

49.

Find the slope.

a)

m=1/2

b)

m= -1/2

c)

m=2

d)

m=-2

50.

How can I tell if an inequality will have a solid line?

a)

It has an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

51.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

Graphing Inequalities in Two Variables

Total questions: 51

Worksheet time: 6hrs 52mins

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