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Worksheetsarchive - linear inequalities
Total questions: 172
Worksheet time: 7hrs 55mins
What kind of circle would you use to graph the symbol <
open
closed
What kind of circle would you use to graph the symbol >
open
closed
What kind of circle would you use to graph the symbol ≤
open
closed
What kind of circle would you use to graph the symbol ≥
open
closed
x > 6
y ≤ 18
Match the graph with its inequality. hint: don't be tricked by the variable on the right.
11 < a
11 > a
11 ≤ a
11 ≥ a
r ≥ -6?
x ≥ 2.5?
CHOOSE ALL THAT APPLY
Which inequality best describes the graph shown?
y>4
4<y
y≥4
4≤y
CHOOSE ALL THAT APPLY
Which inequality best describes the graph shown?
y>4
4<y
y<4
4>y
CHOOSE ALL THAT APPLY
Which inequality best describes the graph shown?
x≤2
2≥x
x>2
2<x
CHOOSE ALL THAT APPLY
Which inequality best describes the graph shown?
x≤2
2≥x
x≥2
2≤x
CHOOSE ALL THAT APPLY
Which inequality best describes the graph shown?
x>−6
−6<x
y>−6
−6<y
CHOOSE ALL THAT APPLY
Which inequality best describes the graph shown?
x>−6
−6<x
x<−6
−6>x
CHOOSE ALL THAT APPLY
Which inequality best describes the graph shown?
x>−6
−6<x
x≥−6
−6≤x
CHOOSE ALL THAT APPLY
Which points are in the solution set?
(1,0)
(0,1)
(−1,0)
(0,−1)
CHOOSE ALL THAT APPLY
Which points are in the solution set?
(1,0)
(0,1)
(−1,0)
(0,−1)
CHOOSE ALL THAT APPLY
Which points are in the solution set?
(10,−10)
(−10,10)
(10,10)
(−10,−10)
CHOOSE ALL THAT APPLY
Which points are in the solution set?
(7,−6)
(1,2)
(−2,0)
(0,−6)
Which point is in the solution set?
red
blue
CHOOSE ALL THAT APPLY
Which symbols indicate the use of a dashed line?
<
>
≤
≥
CHOOSE ALL THAT APPLY
Which symbols indicate the use of a solid line?
<
>
≤
≥
Which point is in the solution set for x>−6
(-6,2)
(6,-2)
(-9,-7)
(-7,3)
Which point is in the solution set for x≥−6
(-6,-2)
(-7,-5)
(-8,-6)
(-7,3)
Which point is in the solution set for y>12
(-6,25)
(25,-5)
(-8,-25)
(-25,3)
Which point is in the solution set for y<12
(-6,-25)
(6,25)
(-25,13)
(25,13)
Is the red point in the solution set?
Yes
No
Is the red point in the solution set?
Yes
No
Choose the correct option for the problem shown.
Choose the correct option for the problem shown.
y≤−43x+3
y≥−43x+3
y<−43x+3
y>−43x+3
y≥52x+1
y≤−52x+1
y≤52x+1
y≥−52x−1
Consider the function y<2x+3 . Which is true?
The line would be solid with shading above.
The line would be dotted with shading above.
The line would be solid with shading below.
None of these.
Is the point (1, 2) a solution for the following inequality? Choose the best answer that has the best explanation.
Yes because it is located in the shaded region.
No because it is located on the line and the line is dotted.
Yes because it is located on the line.
No because it is in the shaded region.
Which inequality best describes the solution set for:
3r+100≤76−r
r≤−6
r≥−10
r<−10
r>−6
Which inequality best describes the solution set for:
6+4x>12+2x
x>3
x<7
x≥7
x≤3
Which inequality best describes the solution set for:
1+4x<9+2x
x<4
x>4
x<2
x>2
Which inequality best describes the solution set for:
8z+2<2(5z−8)
z>9
z<9
z>5
z<5
Which inequality best describes the solution set for:
21(−12p−8)≥−(5+p)
p≤51
p≥51
p≤2
p≥2
Which inequality best describes the solution set for:
−2(t−4)>5+2t
t<43
t>43
t<−43
t>−43
Which inequality best describes the solution set for:
9s≥3(6s−1)
s≤31
s<3
s>3
s≥31
Which inequality best describes the solution set for:
21(w+1)−6≤3
w≤17
w≥17
w<17
w>17
Which inequality best describes the solution set for:
−30≥1−21y
62≤y
62≥y
62<y
62>y
Which inequality best describes the solution set for:
−(1−y)>−8y
91<y
y<91
91≤y
y≤91
Which values are in the solution set for y>1
2
1
21
23
100
-100
Which values are in the solution set for y>1
56
65
1011
1110
1920
2019
2x
1−2b=12
6<r
−13
a=0
p≤1
21
k−(5k+3)=2k
13(21p−4)≥213
x2−7x+3
Which inequalities represent the solution set for
3(2x+1)<3−2(2−x)
x<−1
−1>x
x>−1
−1<x
Which inequalities represent the solution set for
−b+1≤−3(1−b)
b≥1
1≤b
b≤1
1≥b
Order the numbers from least to greatest
−21
0
53
43
35
Order the numbers from least to greatest
−56
−66
−65
74
47
Order the numbers from least to greatest
−2
−23
−1
101
1
Which values are in the solution set for:
x<−1
Which values are in the solution set for:
−1≥x
Which values are in the solution set for:
−1≤x
Which values are in the solution set for:
x<23
Which values are in the solution set for:
x≥−21
Which values are in the solution set for:
2(2b−3)>2(b−2)−6
Which values are in the solution set for:
−(1−12p)≥6(p−4)−1
Which values are in the solution set for:
−5x+10>−4
Which graph best represents the inequality
2x+3y<7
Which points are in the solution set for the inequality
y≥−32x−3
Which points are in the solution set for the inequality
y>−32x−3
Which points are in the solution set for the inequality
y≤−32x−3
Which points are in the solution set for the inequality
y<−32x−3
Which points are in the solution set for the inequality
y>51x+1
Which points are in the solution set for the inequality
y<51x+1
Which points are in the solution set for the inequality
y≥51x+1
Which points are in the solution set for the inequality
y≤51x+1
Which inequality best represents the graph show?
y<2x+4
y>2x+4
y≤2x+4
y≥2x+4
Which inequality best represents the graph show?
y>35x+5
y>53x+5
y≤35x+5
y≥53x+5
Which inequality best represents the graph show?
y≤43x+3
y≥43x+3
y<43x+3
y>43x+3
Which inequality best represents the graph show?
y≥52x+2
y≤52x+2
y<52x+2
y>52x+2
Which inequality best represents the graph show?
y<32x+4
y>32x+4
y<32x−4
y>32x−4
Which inequality best represents the graph show?
y>78x+8
y<78x+8
y<78x−8
y>78x−8
Which inequality best represents the graph show?
y≤43x+6
y≥43x+6
y≤43x−6
y≥43x−6
Which inequality best represents the graph show?
y≥31x+3
y≤31x+3
y≤31x−3
y≥31x−3
Which inequality best represents the graph show?
y<−2x+4
y>−2x+4
y<2x+4
y>2x+4
Which inequality best represents the graph show?
y>−35x+5
y<−35x+5
y<35x+5
y>35x+5
Which inequality best represents the graph show?
y≤−43x+3
y≥−43x+3
y≤43x+3
y≥43x+3
Which inequality best represents the graph show?
y≥−52x+2
y≤−52x+2
y≤52x+2
y≥52x+2
Which inequality best represents the graph show?
y<−32x+4
y>−32x+4
y<32x+4
y>32x+4
Which inequality best represents the graph show?
y>−78x+8
y<−78x+8
y<78x+8
y>78x+8
Which inequality best represents the graph show?
y≤−43x+6
y≥−43x+6
y<−43x+6
y>−43x+6
Which inequality best represents the graph show?
y≥−31x+3
y≤−31x+3
y<−31x+3
y>−31x+3
Which inequality best represents the graph show?
y<2x−4
y<2x+4
y<−2x−4
y<−2x+4
Which inequality best represents the graph show?
y>35x−5
y>35x+5
y<−35x−5
y<−35x+5
Which inequality best represents the graph shown?
y≤43x−3
y≥43x−3
y<−43x−3
y>−43x−3
Which inequality best represents the graph shown?
y≥52x−2
y≤52x−2
y<52x−2
y>52x−2
Which inequality best represents the graph shown?
y<32x−4
y>32x−4
y<23x−4
y>23x−4
Which inequality best represents the graph shown?
y>78x−8
y<78x−8
y<78x+7
y>78x+7
Which inequality best represents the graph shown?
y≤43x−6
y≥43x−6
y<34x−6
y>34x−6
Which inequality best represents the graph shown?
y≥31x−3
y≤31x−3
y≤3x−3
y≥3x−3
Which inequality best represents the graph shown?
y<−2x−4
y<−2x+4
y<2x+4
y<2x−4
Which inequality best represents the graph shown?
y>−35x−5
y<−35x−5
y<−53x−5
y>−53x−5
Which inequality best represents the graph shown?
y≤−43x−3
y≥−43x−3
y≤−43x−4
y≥−43x−4
Which inequality best represents the graph shown?
y≥−52x−2
y≤−52x−2
y≤−52x−5
y≥−52x−5
Which inequality best represents the graph shown?
y<−32x−4
y>−32x−4
y<−23x−4
y>−23x−4
Which inequality best represents the graph shown?
y>−78x−8
y<−78x−8
y<−78x+8
y>−78x+8
Which inequality best represents the graph shown?
y≤−43x−6
y≥−43x−6
y<−43x−6
y>−43x−6
Which inequality best represents the graph shown?
y≥−31x−3
y≤−31x−3
y≤−3x−3
y≥−3x−3
Which of the following inequalities represents the graph shown?
5x+4y<40
5x−4y>40
−5x+4y<40
5x−4y>−40
Which of the following inequalities represents the graph shown?
5x+4y<40
5x−4y>40
−5x+4y<40
5x−4y>−40
Which of the following inequalities represents the graph shown?
5x+4y<40
5x−4y>40
−5x+4y<40
5x−4y>−40
Which of the following inequalities represents the graph shown?
5x+4y<40
5x−4y>40
−5x+4y<40
5x−4y>−40
Which of the following inequalities represents the graph shown?
5x+3y≤30
5x+3y<30
3x+5y≤30
3x+5y<30
Which of the following inequalities represents the graph shown?
5x−3y≥30
5x−3y>30
3x−5y≥30
3x−5y>30
Which of the following inequalities represents the graph shown?
−5x+3y≤30
−5x+3y<30
−3x+5y≤30
−3x+5y<30
Which of the following inequalities represents the graph shown?
5x+3y≥−30
5x+3y>−30
3x+5y≥−30
3x+5y>−30
Which of the following inequalities represents the graph shown?
2x+y<10
2x+y>10
2x+y≤10
2x+y≥10
Which of the following inequalities represents the graph shown?
2x−y>10
2x−y<10
2x−y≥10
2x−y≤10
Which of the following inequalities represents the graph shown?
−2x+y<10
−2x+y>10
−2x+y≥10
−2x+y≤10
Which of the following inequalities represents the graph shown?
2x+y>−10
2x+y<−10
2x+y≤−10
2x+y≥−10
Which of the following inequalities represents the graph shown?
5x+2y≤10
2x+5y≤10
5x+2y≥10
2x+5y≥10
Which of the following inequalities represents the graph shown?
5x−2y≥10
5x−2y≤10
2x−5y≥10
2x−5y≤10
Which of the following inequalities represents the graph shown?
5x−2y≤−10
5x−2y≥−10
2x−5y≥−10
2x−5y≤−10
Which of the following inequalities represents the graph shown?
5x+2y≥−10
5x+2y≤−10
2x+5y≥−10
2x+5y≤−10
Which of the following inequalities represents the graph shown?
3x+2y<18
3x+2y>18
2x+3y>18
2x+3y<18
Which of the following inequalities represents the graph shown?
3x−2y>18
3x−2y<18
2x−3y>18
2x−3y<18
Which of the following inequalities represents the graph shown?
3x−2y<−18
3x−2y>−18
2x−3y>−18
2x−3y<−18
Which of the following inequalities represents the graph shown?
3x+2y>−18
3x+2y<−18
2x+3y>−18
2x+3y<−18
Which of the following inequalities represents the graph shown?
3x+y≤9
3x−y≥9
3x−y≤−9
3x+y≥−9
Which of the following inequalities represents the graph shown?
3x+y≤9
3x−y≥9
3x−y≤−9
3x+y≥−9
Which of the following inequalities represents the graph shown?
3x+y≤9
3x−y≥9
3x−y≤−9
3x+y≥−9
Which of the following inequalities represents the graph shown?
3x+y≤9
3x−y≥9
3x−y≤−9
3x+y≥−9
Which of the following inequalities represents the graph shown?
4x+3y<24
4x+3y>24
4x+3y≤24
4x+3y≥24
Which of the following inequalities represents the graph shown?
4x−3y<24
4x−3y>24
4x−3y≤24
4x−3y≥24
Which of the following inequalities represents the graph shown?
4x−3y<−24
4x−3y>−24
4x−3y≤−24
4x−3y≥−24
Which of the following inequalities represents the graph shown?
4x+3y<−24
4x+3y>−24
4x+3y≤−24
4x+3y≥−24
Which of the following inequalities represents the graph shown?
3x+5y≤30
3x+5y≥30
3x+5y<30
3x+5y>30
Which of the following inequalities represents the graph shown?
3x−5y≤30
3x−5y≥30
3x−5y<30
3x−5y>30
Which of the following inequalities represents the graph shown?
3x−5y≤−30
3x−5y≥−30
3x−5y<−30
3x−5y>−30
Which of the following inequalities represents the graph shown?
3x+5y≤−30
3x+5y≥−30
3x+5y<−30
3x+5y>−30
Which of the following inequalities represents the graph shown?
2x+3y<18
2x+3y>18
3x+2y<18
3x+2y>18
Which of the following inequalities represents the graph shown?
2x−3y<18
2x−3y>18
3x−2y<18
3x−2y>18
Which of the following inequalities represents the graph shown?
2x−3y<−18
2x−3y>−18
3x−2y<−18
3x−2y>−18
Which of the following inequalities represents the graph shown?
2x+3y<−18
2x+3y>−18
3x+2y<−18
3x+2y>−18
Which of the following inequalities represents the graph shown?
3x+4y≤24
3x+4y≥24
4x+3y≤32
4x+3y≥32
Which of the following inequalities represents the graph shown?
3x−4y≤24
3x−4y≥24
4x−3y≤32
4x−3y≥32
Which of the following inequalities represents the graph shown?
3x−4y≤−24
3x−4y≥−24
4x−3y≤−32
4x−3y≥−32
Which of the following inequalities represents the graph shown?
3x+4y≤−24
3x+4y≥−24
4x+3y≤−32
4x+3y≥−32
Which of the following inequalities represents the graph shown?
2x+3y<12
2x+3y>12
3x+2y<8
3x+2y>8
Which of the following inequalities represents the graph shown?
2x−3y<12
2x−3y>12
3x−2y<8
3x−2y>8
Which of the following inequalities represents the graph shown?
2x−3y<−12
2x−3y>−12
3x−2y<−8
3x−2y>−8
Which of the following inequalities represents the graph shown?
2x+3y<−12
2x+3y>−12
3x+2y<−8
3x+2y>−8
Which of the following inequalities represents the graph shown?
2x+4y≤12
2x+4y≥12
4x+2y≤24
4x+2y≥24
Which of the following inequalities represents the graph shown?
2x−4y≤12
2x−4y≥12
4x−2y≤24
4x−2y≥24
Which of the following inequalities represents the graph shown?
2x−4y≤−12
2x−4y≥−12
4x−2y≤−24
4x−2y≥−24
Which of the following inequalities represents the graph shown?
2x+4y≤−12
2x+4y≥−12
4x+2y≤−24
4x+2y≥−24
