Free Printable Graphing Systems of Inequalities

1.

Which of the following linear inequalities represents the graph?

a)

$y\ge3x$

b)

$y>3x$

c)

$y<3x$

d)

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

2.

Which of the following linear inequalities represents the graph?

a)

$y\ge3$

b)

$x\ge3$

c)

$y\le3$

d)

$y<3$

3.

Which of the following linear inequalities represents the graph?

a)

$y>-\frac{4}{5}x-1$

b)

$y\le\frac{4}{5}x+1$

c)

$y<-\frac{4}{5}x-1$

d)

$y\le-\frac{4}{5}x+1$

4.

Which of the graphs represents the linear inequality $y>\frac{1}{2}x+3$ ?

a)

b)

c)

d)

5.

Which of the graphs represents the linear inequality $y\le-x-4$ ?

a)

b)

c)

d)

6.

According to the graph, which point is a solution? Choose all that apply.

a)

(0, 0)

b)

(4, 2)

c)

(-1, -5)

d)

(-3, 0)

7.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, 20)

c)

(3, 5)

d)

(0, -2)

8.

Which is a solution to the system of inequalities?

a)

(4, -2)

b)

(4, 6)

c)

(-4, 2)

d)

(6, -2)

9.

Which is a solution to the system of inequalities?

a)

(2, 0)

b)

(0, 3)

c)

(0, 5)

d)

(3, 0)

10.

Which is a solution to the system of inequalities?

a)

(2, -3)

b)

(-3, 3)

c)

(-2, -2)

d)

(2, 3)

11.

Which is a solution to the system of inequalities?

a)

(2, 0)

b)

(3, 0)

c)

(2, 4)

d)

(0, 4)

12.

Which is a solution to the system of inequalities?

a)

(-2, 1)

b)

(1, -2)

c)

(5, 2)

d)

(1, 6)

13.

Which is a solution to the system of inequalities?

a)

(0, 0)

b)

(-4, 0)

c)

(0, 4)

d)

(4, 0)

14.

Which is a solution to the system of inequalities?

a)

(2, 5)

b)

(0, 0)

c)

(2, -5)

d)

(4, -3)

15.

Is (0,0) a solution to the system?

a)

Solution

b)

Not a solution

16.

Is (-2, 0) a solution to the system?

a)

Solution

b)

Not a solution

17.

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

a)

x+y≤300
7.5x+5.5y≥2000

b)

x+y<300
7.5x+5.5y≥2000

c)

x+y≤300
7.5x+5.5y≤2000

d)

x+y>2000
7.5x+5.5y≤300

18.

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

a)

b)

c)

19.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

20.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

Graphing Systems of Inequalities

Total questions: 20

Worksheet time: 45mins

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