Free Printable Two variables inequalities

1.

Which inequality matches the picture shown?

a)

y < -1/2 x + 5

b)

y < -1/2 x + 5

c)

y > -1/2 x + 5

d)

y > -1/2 x + 5

2.

Which inequality matches the picture shown?

a)

y > x

b)

y < x

c)

y > x

d)

y < x

3.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

4.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

5.

Which of the following equations match the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

6.

Which of the following equations match the given graph? (Dashed Line)

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

7.

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

a)

dashed or dotted

b)

solid

8.

Is (-1, 0) a solution to this inequality?

a)

Yes

b)

No

9.

Match the inequality to the graph.

a)

$y\le x+2$

b)

$y<x+2$

c)

$y>x+2$

d)

$y\ge x+2$

10.

Choose the correct inequality for this graph.

a)

$y>-x+2$

b)

$y\ge-x+2$

c)

$y<-x+2$

d)

$y\le-x+2$

11.

Choose the correct inequality for this graph.

a)

$y>2x-3$

b)

$y\ge2x-3$

c)

$y<2x-3$

d)

$y\le2x-3$

12.

Match the inequality to the graph.

a)

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

b)

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

c)

$y>-\frac{1}{2}x-3$

d)

$y\ge-\frac{1}{2}x-3$

13.

Match the inequality to the graph.

a)

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

b)

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

c)

$y>-\frac{1}{2}x-3$

d)

$y\ge-\frac{1}{2}x-3$

14.

What happens to the inequality symbol when you multiply or divide by a negative?

a)

The symbol goes away

b)

The symbol stays the same

c)

The symbol is flipped

d)

Nothing Happens

15.

What is the solution to the system of linear inequalities: y < 2x - 1 and y > -x + 3?

a)

The solution is the region above the line y = 2x - 1

b)

The solution is the region to the left of the line y = 2x - 1

c)

The solution is the region between the two lines y < 2x - 1 and y > -x + 3.

d)

The solution is the region below the line y = -x + 3

16.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

17.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

18.

Solve the system of inequalities by graphing. $8x\ +4y\ge10\ and\ 3x-6y>12$

a)

b)

c)

d)

Two variables inequalities

Total questions: 18

Worksheet time: 31mins

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