WorksheetsSystems of inequalities
Total questions: 25
Worksheet time: 2hrs 1mins
Name
Class
Date
1.
Will my line be solid?
5 ≥ x
5 ≥ x
a)
Yes
b)
No
2.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
3.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
4.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
5.
Is (-2,4) a solution to the system?
a)
Solution
b)
Not a solution
6.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
7.
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)
8.
Is (0,0) a solution to the system?
a)
Solution
b)
Not a solution
9.
Which of the following inequalities matches the given graph?
a)
x ≥ -1
b)
x ≤ -1
c)
x > -1
d)
x < -1
10.
Solve
y - 4 > 12
y - 4 > 12
a)
y > 16
b)
y < 16
c)
y > 8
d)
y < 8
11.
Are the points on the boundary line part of the solution set or not?
a)
Yes, they are part of the solution set
b)
No, they are NOT part of the solution set
12.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
13.
Which system of inequalities matches the graph?
a)
y > 2x - 4
y < 2
y < 2
b)
y < 2x - 4
y < 2
y < 2
c)
y > 2x - 4
y < 2
y < 2
d)
y < 2x - 4
y < -2
y < -2
14.
Which of the following is a solution to the systems of inequalities?
a)
(1, -5)
b)
(2, 3)
c)
(-2, 3)
d)
(-1, 1)
15.
Which of the following is a solution to the systems of inequalities?
a)
(-1, -3)
b)
(3, 0)
c)
(-2, 2)
d)
(4, 1)
16.
Match the system to the graph (solution set is on the left)
a)
y ≤ 3x and y ≤ -2x + 4
b)
y > 3x and y > -2x + 4
c)
y < 3x and y > -2x + 3
d)
y > 3x and y < -2x + 4
17.
Which of the following points is a solution to the system of equations below?
x + 2y ≥ 4
3x − 2y < 4
Take your time!
x + 2y ≥ 4
3x − 2y < 4
Take your time!
a)
(0, 0)
b)
(2, 1)
c)
(2, 2)
d)
(-1, 1)
18.
Which system of inequalities is shown?
a)
y ≥ -x - 1
y < x + 4
y < x + 4
b)
y < -x - 1
y ≥ x + 4
y ≥ x + 4
c)
y > -x - 1
y ≥ x + 4
y ≥ x + 4
d)
y > -x - 1
y ≥ x + 3
y ≥ x + 3
19.
Which system of inequality is shown?
a)
y > -1/5x - 1/2
y ≥ -2x - 4
y ≥ -2x - 4
b)
y > -1/5x - 1/2
y ≤ -2x - 4
y ≤ -2x - 4
c)
y ≥ -1/5x - 1/2
y ≤ -2x - 4
y ≤ -2x - 4
d)
y < -1/5x - 1/2
y ≥ -2x - 4
y ≥ -2x - 4
20.
Solve the system of inequalities by graphing.
a)
b)
c)
d)
21.
Identify the two inequalities that represents the graph.
a)
y > ½x - 3
b)
y ≤ -4x + 2
c)
y < ½x - 3
d)
y ≥ -4x + 2
22.
Identify the graph represented by the following system of inequalities.
2x - y > 4
4x + 2y < 6
a)
b)
c)
23.
a)
A
b)
B
c)
C
d)
D
24.
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
25.
Match
a)
y < x−2
y < 3
y < 3
b)
y > -x+2
y > 3
y > 3
c)
y < -x+2
y < 3
y < 3
d)
y < -x+2
y > 3
y > 3
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