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WorksheetsLinear Inequalities in Two Variables and Linear Programming
Total questions: 25
Worksheet time: 6hrs 15mins
Name
Class
Date
1.
Select the correct graph for
y≥7x-3
a)
b)
c)
d)
2.
Select the correct graph for
y< -⅘(x)+4
a)
b)
c)
d)
3.
Which point below is NOT a part of the solution set?
a)
(0, 0)
b)
(0, 1)
c)
(-100, -3)
d)
(5, 10)
4.
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
c)
Some are, and some are not
d)
There is not enough information to tell
5.
Which system of inequalities matches this graph?
a)
x≤-2
y≤x-3
y≤x-3
b)
y≤-2
y≤x-3
y≤x-3
c)
x≥-2
y≤x-3
y≤x-3
d)
y≥-2
y≤x-3
y≤x-3
6.
Which system of inequalities matches this graph?
a)
y≥-2x+3
y≤x-3
y≤x-3
b)
y>2x+3
y≥x-3
y≥x-3
c)
y>-2x+3
y≥x-3
y≥x-3
d)
y<-2x+3
y≤x-3
y≤x-3
7.
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 + 4
y ≥ x + 4
8.
Which system of inequalities is described by this graph?
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
9.
Which inequality is described by this graph?
a)
x ≤ 1
b)
x ≤ -1
c)
y < -1
d)
x < -1
10.
Select the correct graph for
y≥⅓(x)+2
a)
b)
c)
d)
11.
Select the correct graph for
y≥ -3
a)
b)
c)
d)
12.
Select the correct graph for
y≥ (3/2)x - 5
a)
b)
c)
d)
13.
Select the correct graph for
y≤(-3/4)x-1
a)
b)
c)
d)
14.
Select the correct graph for
x≥ -2
a)
b)
c)
d)
15.
Select the correct graph for
y> -2x - 3
a)
b)
c)
d)
16.
Which of the following inequalities matches the given graph?
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
17.
Which of the following inequalities matches the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤ 2/5x + 1
d)
y ≥ -2/5x - 1
18.
Which of these inequalities matches the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤ 2/5x + 1
d)
y ≥ -2/5x - 1
19.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, 20)
c)
(3, 5)
d)
(0, -2)
20.
Which point below is NOT a part of the solution set?
a)
(0, 0)
b)
(0, 1)
c)
(-100, -3)
d)
(5, 10)
21.
Which of the following inequalities matches the given graph?
a)
y ≤ 2x - 4
b)
y ≥ 2x - 4
c)
y < 2x - 4
d)
y > 2x - 4
22.
Which system of inequalities is represented by the graph?
a)
x≤-2
y≤x-3
y≤x-3
b)
y≤-2
y≤x-3
y≤x-3
c)
x≥-2
y≤x-3
y≤x-3
d)
y≥-2
y≤x-3
y≤x-3
23.
Which system of inequalities matches the graph?
a)
y≥-2x+3
y≤x-3
y≤x-3
b)
y>2x+3
y≥x-3
y≥x-3
c)
y>-2x+3
y≥x-3
y≥x-3
d)
y<-2x+3
y≤x-3
y≤x-3
24.
Which system of inequalities is represented by this graph?
a)
y < -3x + 3 and y > -3x - 1
b)
y ≥ -3x + 3 and y ≤ -3x - 1
c)
y ≤ -3x + 3 and y ≥ -3x - 1
d)
y > -3x + 3 and y < -3x - 1
25.
Review: Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
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