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WorksheetsSystems of Inequalities 2
Total questions: 114
Worksheet time: 29hrs 30mins
Name
Class
Date
1.
Will my line be solid?
5 ≥ x
5 ≥ x
a)
Yes
b)
No
2.
Will my line be solid?
5 ≥ x
5 ≥ x
a)
Yes
b)
No
3.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
4.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
5.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
6.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
7.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
8.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
9.
Is (-2,4) a solution to the system?
a)
Solution
b)
Not a solution
10.
Is (-2,4) a solution to the system?
a)
Solution
b)
Not a solution
11.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
12.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
13.
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)
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.
Solve
y - 4 > 12
y - 4 > 12
a)
y > 16
b)
y < 16
c)
y > 8
d)
y < 8
16.
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
17.
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
18.
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
19.
Which of the following is a solution to the systems of inequalities?
a)
(0, 0)
b)
(-3, 0)
c)
(2, -5)
d)
(3, -1)
20.
Which of the following is a solution to the systems of inequalities?
a)
(0, -2)
b)
(-3, 0)
c)
(-3, 2)
d)
(1, 1)
21.
a)
x is less than or equal to 2
b)
x < 2
c)
2 < x
d)
x is greater than 2
22.
a)
x > 1
b)
1 ≥ x
c)
x is greater than or equal to 1
d)
x is less than or equal to 1
23.
m - 5 > 10
a)
m is less than 15
b)
m is greater than 5
c)
m is greater than 15
d)
m is less than 5
24.
8x ≥ -32
a)
x ≥ -4
b)
x ≥ 4
c)
x ≤ -4
d)
x ≥ 4
25.
s + 9 ≥ -25
a)
s ≥ -18
b)
s ≥ -34
c)
s ≤ 18
d)
s ≥ 34
26.
4x - 2 ≤ -22
a)
x ≥ -5
b)
x ≥ -6
c)
x ≤ -6
d)
x ≤ -5
27.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
28.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
29.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
30.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
31.
find the slope
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
32.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined
33.
find the slope
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
34.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
35.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
36.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
37.
Determine the slope and y-intercept. y = 3/2x + 3
a)
slope: 5 y-intercept: (0,3)
b)
slope: 3/2 y-intercept: (0,3)
c)
slope: 4 y-intercept: (0,3/2)
d)
slope: 1/5 y-intercept: (0,5)
38.
Determine the slope and y-intercept. y = 3/2x + 3
a)
slope: 5 y-intercept: (0,3)
b)
slope: 3/2 y-intercept: (0,3)
c)
slope: 4 y-intercept: (0,3/2)
d)
slope: 1/5 y-intercept: (0,5)
39.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
40.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
41.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
42.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
43.
Find the slope of the line that passes through (-9, -6) and (-9, -10)
a)
0
b)
Undefined
c)
-3
d)
-9
44.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
45.
Find the slope of the line that passes through (10, -8) and (1, 12).
a)
20/9
b)
-20/9
c)
4/9
d)
9/4
46.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
47.
Graph x+y=3
a)
A
b)
B
c)
C
d)
D
48.
Which Graph is Linear?
a)
1st
b)
2nd
2nd
2nd
c)
3rd
d)
None
49.
Which Graph has a slope of zero?
a)
Red
b)
Blue
c)
Neither
50.
What is the Slope of the line?
a)
2
b)
1/2
c)
-2
d)
-1/2
51.
Which Graph has a slope of zero?
a)
Red
b)
Blue
c)
Neither
52.
Which Graph is Linear?
a)
1st
b)
2nd
2nd
2nd
c)
3rd
d)
None
53.
What is the Slope of the line?
a)
2
b)
1/2
c)
-2
d)
-1/2
54.
What type of Slope does this line have?
a)
Positive
b)
Negative
c)
No Slope
d)
Zero
55.
Which value is the y-intercept in the equation:
y= 2x -2
a)
2
b)
-2
c)
1
56.
Which value is the slope in the equation:
y= 4x + 2
a)
4
b)
2
c)
x
57.
The y intercept is AWESOME! It helps us to know...
a)
Where our line will end.
b)
If our line is positive or negative.
c)
Where to start graphing our line.
58.
The y intercept is AWESOME! It helps us to know...
a)
Where our line will end.
b)
If our line is positive or negative.
c)
Where to start graphing our line.
59.
Knowing the slope of a line is very helpful! It can tell us if the line is...
a)
Positive
b)
Negative
c)
Will rise to the right.
d)
Will fall to the right.
60.
The y intercept is AWESOME! It helps us to know...
a)
Where our line will end.
b)
If our line is positive or negative.
c)
Where to start graphing our line.
61.
This lines has a __________ slope.
a)
Undefined
b)
Positive
c)
Negative
d)
No Slope
62.
When a line rises to the right it has a _______ slope.
a)
Positive
b)
Negative
c)
Undefined
d)
No slope
63.
When a line falls to the right it has a _________ slope.
a)
Positive
b)
Negative
c)
No Slope
d)
Undefined
64.
Which value represents the slope in the following equation:
y= 1/2x + 8
a)
8
b)
1
c)
2
d)
1/2
65.
When a line falls to the right it has a _________ slope.
a)
Positive
b)
Negative
c)
No Slope
d)
Undefined
66.
When a line rises to the right it has a _______ slope.
a)
Positive
b)
Negative
c)
Undefined
d)
No slope
67.
This lines has a __________ slope.
a)
Undefined
b)
Positive
c)
Negative
d)
No Slope
68.
Knowing the slope of a line is very helpful! It can tell us if the line is...
a)
Positive
b)
Negative
c)
Will rise to the right.
d)
Will fall to the right.
69.
Which value represents the slope in the following equation:
y= 1/2x + 8
a)
8
b)
1
c)
2
d)
1/2
70.
If you have a slope of 1/2 that means you could...
a)
Go up 1 and right 2 units.
b)
Go right 1 and up 2 units.
c)
Go down 1 and left 2 units.
d)
Go left 2 and down 1.
71.
If you have a slope of 1/2 that means you could...
a)
Go up 1 and right 2 units.
b)
Go right 1 and up 2 units.
c)
Go down 1 and left 2 units.
d)
Go left 2 and down 1.
72.
Which equation matches the graph?
a)
y= 2x + 5
b)
y= 2x
c)
y= -2x + 5
d)
y= -2x
73.
Which equation matches the graph?
a)
y= 2x + 5
b)
y= 2x
c)
y= -2x + 5
d)
y= -2x
74.
Which equation matches the graph?
a)
y= 1x + 3
b)
y= 1x
c)
y= -1x + 3
d)
y= -1x
75.
Which equation matches the graph?
a)
y= 1x + 3
b)
y= 1x
c)
y= -1x + 3
d)
y= -1x
76.
Which equation matches the graph?
a)
y= 3x - 5
b)
y= -3x - 5
c)
y= 3x + 5
d)
y= 3x + 5
77.
Which equation matches the graph?
a)
y= 3x - 5
b)
y= -3x - 5
c)
y= 3x + 5
d)
y= 3x + 5
78.
Which equation matches the graph?
a)
y= 0.5x - 5
b)
y= -0.5x - 5
c)
y= 0.5x + 5
d)
y= -0.5x + 5
79.
Which equation matches the graph?
a)
y= 0.5x - 5
b)
y= -0.5x - 5
c)
y= 0.5x + 5
d)
y= -0.5x + 5
80.
Which equation matches the graph?
a)
y = 5
b)
y = -5
c)
x = -5
d)
x = 5
81.
Which equation matches the graph?
a)
y = 5
b)
y = -5
c)
x = -5
d)
x = 5
82.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
83.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
84.
There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?
a)
d + c = 174
4d + 2c = 50
4d + 2c = 50
b)
d + c = 50
4d + 2c = 174
4d + 2c = 174
c)
d + c = 50
2d + 4c = 174
2d + 4c = 174
d)
d + c = 174
2d + 4c = 50
2d + 4c = 50
85.
Use substitution to solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
86.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?
a)
3x + 2y = 315
2x + 4y = 450
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450
3x + 4y = 450
87.
Your family goes to a southern style restaurant for dinner. There are 6 total people in your family. Some order chicken for $14 and the rest order steak for $17. The total bill is $99. Write a system that could represent this situation.
a)
c + s = 6
14c + 17s = 99
14c + 17s = 99
b)
c + s = 99
14c + 17s = 6
14c + 17s = 6
c)
c + s = 6
17c + 14s = 99
17c + 14s = 99
d)
c + s = 99
17c + 14s = 6
17c + 14s = 6
88.
Solve using substitution.
2x - 2y = 2
y = -5x + 14
2x - 2y = 2
y = -5x + 14
a)
(4, 5)
b)
(2.5, 1.5)
c)
(1.5, 5)
d)
(1, 2.25)
89.
Solve using substitution.
x - 2y = 2
3x + 4y = 3
x - 2y = 2
3x + 4y = 3
a)
(1.4, -0.3)
b)
(3.1, 5)
c)
(-2.5, 3.5)
d)
(6.9, 1.02)
90.
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
91.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
92.
Match: the overlap is on the left!
a)
y ≤ 3x and y ≤ -2x + 4
b)
y > 3x and y > -2x + 4
c)
y < 3x and y > -2x + 4
d)
y > 3x and y < -2x + 4
93.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
94.
You can work at most 20 hours next week. You need to earn at least $92 to cover you weekly expenses. Your math tutoring job pays $7.50 per hour and your job as a pet sitter pays $6 per hour. You can work at most 7 hours tutoring. Write a system of linear inequalities to model the situation.
a)
s + t < 20
6s + 7.50t ≥ 92
t >7
6s + 7.50t ≥ 92
t >7
b)
s + t ≤ 20
6s + 7.50t ≥ 92
t ≤ 7
6s + 7.50t ≥ 92
t ≤ 7
95.
What is the solution?
a)
(6, 3)
b)
(3, 6)
c)
(-6, 3)
d)
No solution
96.
Which system of equations represents the graph?
a)
y = -3/5x - 3
y = 3x - 3
y = 3x - 3
b)
y = - 5/3 x + 3
x - 3y = 9
x - 3y = 9
97.
When graphing an inequality, you use a dotted line when you use which symbol?
a)
<, >
b)
≤, ≥
98.
When graphing an inequality, you use a dotted line when you use which symbol?
a)
<, >
b)
≤, ≥
99.
When you graph an inequality, you used a solid line when you use which symbols?
a)
≤, ≥
b)
<, >
100.
When you graph an inequality, you used a solid line when you use which symbols?
a)
≤, ≥
b)
<, >
101.
When you graph an inequality, you used a solid line when you use which symbols?
a)
≤, ≥
b)
<, >
102.
In an equation or inequality, you want to get the variable...
a)
on one side
b)
to disappear
c)
isolated (by itself)
103.
In an equation or inequality, you want to get the variable...
a)
on one side
b)
to disappear
c)
isolated (by itself)
104.
When graphing an inequality, you use a dotted line when you use which symbol?
a)
<, >
b)
≤, ≥
105.
In an equation or inequality, you want to get the variable...
a)
on one side
b)
to disappear
c)
isolated (by itself)
106.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, 20)
c)
(3, 5)
d)
(0, -2)
107.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
108.
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.
109.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
110.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
111.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
112.
Which point below is NOT a part of the solution set?
a)
(0, 0)
b)
(0, 1)
c)
(-100, -3)
d)
(5, 10)
113.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
114.
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.
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