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Online Tests
ECAT Mathematics Chapter 21 Linear Inequalities and Linear Programming Online Test MCQs With Answers
Question # 1
The point ________ is in the solution of the inequality 2x - 3y > 5
Choose an answer
(1, -1)
(2,2)
(0,0)
(3,0)
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Question # 2
The corner point of the boundary lines, x- 2x
x+2y=10 is:
Choose an answer
(8,1)
(1,8)
(6,10)
(3,5)
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Question # 3
The corner point of the boundary lines, x-2y
2x + y = 2 is:
Choose an answer
(2,6)
(6,2)
(-2,2)
(2,-2)
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Question # 4
3x + 4 < 0 is
Choose an answer
inequality
equation
identity
not inequality
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Question # 5
The liner equation ax + by = c is called _________ of the inequality ax +by > c.
Choose an answer
Associated equation
Non-associated equation
disjoint equation
Feasible equation
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Question # 6
Optimize means ______ a quantity under certain constraints
Choose an answer
Minimize
Maximize
Maximize or minimize
None of these
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Question # 7
The real numbers which satisfy an inequality form its
Choose an answer
solution
coefficient
domain
range
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Question # 8
If -1 < x < 0, which of the following statements must be true?
Choose an answer
x < x
2
< x
3
x < x
3
< x
2
x
2
< x
3
< x
x
2
< x < x
3
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Question # 9
2x + 3y > 4 is a linear inequality in
Choose an answer
one variable
two variables
three variables
none of these
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Question # 10
x = 1 is in the solution of the inequality
Choose an answer
x + 1 > 0
x - 2 > 0
3x - 1 < 0
x + 2 < 0
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Question # 11
For graphing a linear inequality, solid line is drawn if the inequality involves the symbols:
Choose an answer
> or <
>
or
<
= or≠
= or >
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Question # 12
(0,1) is in the solution of the inequality
Choose an answer
3x + 2y > 8
2x - 3y < 4
2x + 3y > 5
x -2y < -5
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Question # 13
(0,0) is in the solution of the inequality
Choose an answer
x + y > 3
x - y > 2
3x + 2y > 5
3x - 2y < 2
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Question # 14
Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:
Choose an answer
Zero
one
negative constant
Non negative constant
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Question # 15
ab > 0 and a > 0 then
Choose an answer
a > b
a < b
a = b
None
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Question # 16
Multiplying each side of an inequality by (-1) will:
Choose an answer
Not effect
Change the sign
Become zero
Not defined
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Question # 17
The point ________ is in the solution of the inequality 4x - 3y < 2
Choose an answer
(0,1)
(2,1)
(2,2)
(3,3)
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Question # 18
The graph of y < 2 is the
Choose an answer
Left half plane
upper half plane
Right half plane
Lower half plane
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Question # 19
Sum of two quantities is at least 20 is denoted by
Choose an answer
x +y =20
x +y≥ 20
x +y≠ 20
x +y≤20
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Question # 20
x = ________ is in the solution of 2x + 3
>
0
Choose an answer
1
-2
-3
-4
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Question # 21
3x + 4
>
0 is
Choose an answer
equation
inequality
identity
none of these
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Question # 22
The point (1,3) is one solution of
Choose an answer
3x + 5y > 29
3x + 5y < 7
x + 2y < 4
x + 4y > 3
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Question # 23
A point where two of its boundary lines intersect is called
Choose an answer
Corner point
Feasible point
Vertex
Feasible solution
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Question # 24
(1, 2) is in the solution of the inequality
Choose an answer
2x + y > 8
2x + y
<
6
2x - y > 1
2x + 3y < 2
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Question # 25
3x + 4 > 0 is
Choose an answer
equation
identity
inequality
none of these
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Question # 26
3x + 4 = 0 is
Choose an answer
not inequality
equation
identity
inequality
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Question # 27
(2, 1) is in the solution of the inequality
Choose an answer
2x + y
>
7
x - y > 2
3x + 5y < 6
2x + y < 6
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Question # 28
x = _________ is in the solution of 2x + 3 < 0
Choose an answer
0
2
-1
-2
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Question # 29
3x + 4
<
0 is
Choose an answer
not inequality
equation
identity
inequality
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Question # 30
x = ________ is in the solution of 2x - 5 > 0
Choose an answer
0
2
-2
3
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