A.REI.D.12: Graphing Systems of Linear Inequalities 1
Regents Exam Questions A.REI.D.12: Graphing Systems of Linear Inequalities 1
Name: ________________________
A.REI.D.12: Graphing Systems of Linear Inequalities 1
1 Which graph represents the solution of y x + 3 and y -2x - 2?
1)
3)
2)
4)
2 Given: y + x > 2
y 3x - 2 Which graph shows the solution of the given set of inequalities?
1)
3)
2)
4)
1
Regents Exam Questions A.REI.D.12: Graphing Systems of Linear Inequalities 1
Name: ________________________
3 What is one point that lies in the solution set of the system of inequalities graphed below?
1) (7,0) 2) (3,0)
3) (0,7) 4) (-3,5)
4
Which
ordered
pair
is
not
in
the
solution
set
of
y
>
-
1 2
x
+
5
and
y
3x
-
2?
1) (5,3)
3) (3,4)
2) (4,3)
4) (4,4)
5 Which point is a solution to the system below? 2y < -12x + 4
1)
1,
1 2
2) (0,6)
y < -6x + 4
3)
-
1 2
, 5
4) (-3,2)
6
First consider the system of equations
y
=
-
1 2
x
+
1
and
y
= x - 5.
Then consider the system of inequalities
y
>
-
1 2
x
+
1
and
y
< x - 5.
When comparing the number
of solutions in each of these systems, which statement is
true?
1) Both systems have an infinite number of 3) The system of inequalities has more
solutions.
solutions.
2) The system of equations has more
4) Both systems have only one solution.
solutions.
2
Regents Exam Questions A.REI.D.12: Graphing Systems of Linear Inequalities 1
Name: ________________________
7 Determine if the point (0,4) is a solution to the system of inequalities graphed below. Justify your answer.
8 Graph the system of inequalities on the set of axes below:
y
-
3 4
x
+
5
3x - 2y > 4
Is (6,3) a solution to the system of inequalities? Explain your answer. 3
Regents Exam Questions A.REI.D.12: Graphing Systems of Linear Inequalities 1
Name: ________________________
9 On the set of axes below, graph the following system of inequalities: 2y + 3x 14
4x - y < 2
Determine if the point (1,2) is in the solution set. Explain your answer.
4
Regents Exam Questions A.REI.D.12: Graphing Systems of Linear Inequalities 1
Name: ________________________
10 Graph the following systems of inequalities on the set of axes below: 2y 3x - 16
y + 2x > -5
Based upon your graph, explain why (6,1) is a solution to this system and why (-6,7) is not a solution to this system.
5
Regents Exam Questions A.REI.D.12: Graphing Systems of Linear Inequalities 1
Name: ________________________
11 Solve the system of inequalities graphically on the set of axes below. Label the solution set S. y + 3x < 5
1 2x - y
Is the point (-5,0) in the solution set? Explain your answer.
6
Regents Exam Questions A.REI.D.12: Graphing Systems of Linear Inequalities 1
Name: ________________________
12 Solve the system of inequalities graphically on the set of axes below. Label the solution set S. 2x + 3y < 9
2y 4x + 6
Determine if the point (0,3) is a solution to this system of inequalities. Justify your answer.
7
Regents Exam Questions A.REI.D.12: Graphing Systems of Linear Inequalities 1
Name: ________________________
13 On the set of axes below, graph the following system of inequalities: 2x + y 8
y - 5 < 3x
Determine if the point (1,8) is in the solution set. Explain your answer.
8
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