Free Printable Solutions to systems of inequalities

1.

Is (-2,4) a solution to the system?

Remember a solution is a point located on the overlapping areas or solid edge. Do not include points on the dotted edge.

a)

Solution

b)

Not a solution

2.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

3.

Which of the following is not a solution to this system of inequalities?

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

4.

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

a)

Solution

b)

Not a solution

5.

Is (-2,4) a solution to the system?

a)

Solution

b)

Not a solution

6.

Which ordered pair(s) is a solution to the given system?

a)

(5, -5)

b)

(0,0)

c)

(-5, -2)

d)

(3,-3)

7.

Which ordered pair(s) is a solution to the given system?

a)

(5,0)

b)

(1,-3)

c)

(3,3)

d)

(2,1)

8.

Solve the system of inequalities by graphing. You may use desmos to graph.

a)

b)

c)

d)

9.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

10.

Which point is not a solution?

a)

(1, 3)

b)

(-1, 2)

c)

(3, -2)

d)

(5, 0)

11.

What is the inequality symbol for the equation of this boundary line?

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

12.

Which inequality is shown in the graph?

a)

y < 2x + 1

b)

y < -2x + 1

c)

y ≤ 2x + 1

d)

y ≤ -2x + 1

13.

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

a)

Solution

b)

Not a solution

14.

Which of the following is not a solution to this system of inequalities?

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

15.

When you graph the system:
y > -2x + 1
y≤ x + 3
Which of the following is a solution?

a)

(2, 0)

b)

(-1, 2)

c)

(0, 4)

d)

(0, -4)

16.

Graph:
y≤-2x+5
y>2x+7
Which of the following is NOT a solution?

a)

(-4, 2)

b)

(-10, 7)

c)

(-3, 0)

d)

(-2, 6)

17.

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

a)

Solution

b)

Not a solution

18.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

19.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

20.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

21.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

22.

Given the system, determine a solution.

a)

No solution

b)

Infinite solutions

c)

(-5, 5)

d)

(5, -5)

23.

Which color is the solution region to this system of inequaliteis?

a)

White

b)

Blue

c)

Purple

d)

Red

24.

Which two inequalities create the system pictured?

a)

$y>\frac{1}{4}x+2$

b)

$y<\frac{1}{4}x+2$

c)

$y\le-3x+4$

d)

$y\ge-3x+4$

25.

Which two inequalities create the system pictured?

a)

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

b)

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

c)

$y\ge-3x+2$

d)

$y\le-3x+2$

26.

Which points are solutions to the system? Select all that apply.

a)

(0,0)

b)

(3,1)

c)

(-4,-2)

d)

(3,-2)

e)

(-1,3)

27.

An inequality using $\ge$ or $\le$ has a ___________ line.

a)

solid

b)

dotted

28.

An inequality using > or < has a ___________ line.

a)

solid

b)

dotted

Solutions to systems of inequalities

Total questions: 28

Worksheet time: 1hrs 28mins

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