Systems of linear inequalities in two variables

Quiz by Michael BALETA

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18 questions
• Q1
Which of the following represents the graphical representation of a system of linear inequalities?
single point on the plane
equation of a line
none of the above
a
30s
• Q2
What is the solution to the system of inequalities: y > 2x - 1 and y < -x + 3?
(1, 3)
(0, 1)
(-2, 7)
(0, 2)
c
30s
• Q3
Which of the following is true for a point that lies on the boundary line of a system of linear inequalities?
it does not satisfy any of the inequalities
it satisfies all of the inequalities
it satisfies at least one of the inequalities
none of the above
b
30s
• Q4
What is the solution to the system of inequalities: y > x + 2 and y > -2x + 3?
(2, 4)
(-2, 1)
(2, 5)
d
(1, 3)
30s
• Q5
Which of the following is true for a system of linear inequalities with no solution?
the system has exactly one solution
none of the above
c
the system has no solution
the system has infinitely many solutions
30s
• Q6
What is the solution to the system of inequalities: y > -x - 1 and y < x + 2?
b
(1, 4)
(-2, 0)
(-1, 1)
(0, 3)
30s
• Q7
Which of the following represents the solution set of a system of linear inequalities?
the set of all points that satisfy all of the inequalities
none of the above
a single point on the plane
b
the equation of a line
30s
• Q8
What is the solution to the system of inequalities: y < -x + 1 and y > -x - 3?
d
(-2, -1)
(0, 2)
(-2, 1)
(1, 3)
30s
• Q9
Which of the following is true for a system of linear inequalities with infinitely many solutions?
none of the above
a
the system has exactly one solution
the system has a solution set that is a bounded region
the system has a solution set that is an unbounded region
30s
• Q10
What is the solution to the system of inequalities: y < -3x + 1 and y < 2x - 3?
(1, -1)
(-2, -8)
c
(-1, -4)
(0, -3)
30s
• Q11
What is the solution set of the system -3x + 2y ≥ 6, 2x + y < 4?
(3,0)
(-3,0)
(3,0)
(0,3)
30s
• Q12
What is the slope of the line 2x - 4y = 8?
2
1/2
-2
1/2
30s
• Q13
Which quadrant(s) contain solutions to the system x - y < 0, x + y > 2?
I and III
I only
II and IV
I and III
30s
• Q14
What is the solution set of the system x ≥ 0, y ≥ 0, x + y > 3?
{(x,y) | x > 0, y > -x + 3}
{(x,y) | x > 0, y > 0}
{(x,y) | x ≥ 0, y ≥ 0, y > -x + 3}
{(x,y) | x ≥ 0, y ≥ 0, y > -x + 3}
30s
• Q15
What is the slope of the line y = -5x + 2?
1/5
5
-5
-5
30s

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