WorksheetsSystems of Inequalities Review
Total questions: 20
Worksheet time: 2hrs 34mins
Name
Class
Date
1.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
2.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
3.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
4.
Consider the function y<2x+3. Which is true?
a)
The line would be solid with shading above.
b)
The line would be dashed with shading above.
c)
The line would be solid with shading below.
d)
None of these.
5.
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
6.
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
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.
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)
9.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
10.
Is (0,0) a solution to the system?
a)
Solution
b)
Not a solution
11.
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)
12.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
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.
Given: y < 4x + 3
Would you draw a solid or dashed line?
a)
Solid
b)
Dashed
15.
Given: y < 4x + 3
Would shade above or below the line?
a)
Above
b)
Below
16.
3. Katie works part-time at the Fallbrook Riding Stable. She makes $5 an hour for exercising horses and $10 an hour for cleaning stalls. Her goal is to make no less than $90 a week. Because Katie is a full-time student, she cannot work more than 12 hours per week and still maintain a high GPA. Write a system of equations that model this situation.
a)
5x + 10y > 90
x + y < 12
b)
5x + 10y < 90
x + y < 12
c)
5x + 10y < 90
x + y >12
d)
5x + 10 > 90
x + y < 12
17.
JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?
a)
b + t < 15
3b + 6t > 66
3b + 6t > 66
b)
b + t > 15
3b + 6t < 66
3b + 6t < 66
c)
3b + 6t > 15
b + t < 66
b + t < 66
d)
3b + 6t < 15
b + t < 66
b + t < 66
18.
Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns. He only has time to work 14 hours before homecoming.
a)
x + y ≥ 25
x + y ≤ 8
x + y ≤ 8
b)
100x + 25 y ≤ 100
2x + 8y ≤ 14
2x + 8y ≤ 14
c)
x + y ≥ 100
8x + 25y ≤ 14
8x + 25y ≤ 14
d)
8x + 25y ≥ 100
x + y ≤ 14
x + y ≤ 14
19.
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
20.
Which point below is NOT a part of the solution set?
a)
(0, 0)
b)
(0, 1)
c)
(-100, -3)
d)
(5, 10)
100 %
