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Graphing Systems of Equations Quiz
Multiple Choice
Identify the choice that best completes the statement or answers the question.
What is the solution of the system? Use a graph.
____
1. y = –x + 1
y = 2x – 2
a.
c.
y
y
4
–4
4
(–1, 0)
O
4
–4
x
–4
b.
d.
–4
____
2. y = –x + 4
y = 4x – 1
x
y
4
O
4
(0.33, –1.33)
–4
y
–4
O
4
(1, 0)
4
x
–4
O
(–1, –1)
–4
4
x
a.
c.
y
y
4
4
(1, 3)
(3, 1)
–4
4
–4
x
–4
b.
4
x
4
x
–4
d.
y
y
4
4
–4
4
–4
x
(1.67, –2.67)
(–0.6, –3.4)
–4
–4
What is the solution of the system? Use a graph.
____
3. y = 2x + 3
y = 2x – 3
a.
c.
y
y
4
–4
4
–4
no solutions
4
x
–4
4
–4
infinitely many solutions
x
b.
d.
y
y
4
4
(0, 3)
–4
4
–4
x
4
(0, –3)
–4
–4
(0, –3)
(0, 3)
Short Answer
What is the solution of the system? Use a graph.
4. –4x + 3y = –12
–2x + 3y = –18
y
10
9
8
7
6
5
4
3
2
1
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
–9
–10
5.
1
2
3
4
5
6
7
8
9
x
x
y
10
9
8
7
6
5
4
3
2
1
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1
–1
1
2
3
4
5
6
7
8
9
x
–2
–3
–4
–5
–6
–7
–8
–9
–10
What is the solution of the system? Use a graph.
6. y = 2x – 2
y + 2 = 2x
y
10
9
8
7
6
5
4
3
2
1
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
–9
–10
1
2
3
4
5
6
7
8
9
x
Graphing Systems of Equations Quiz
Answer Section
MULTIPLE CHOICE
1. ANS: B
PTS: 1
DIF: L2
REF: 6-1 Solving Systems By Graphing
OBJ: 6-1.1 To solve systems of equations by graphing
NAT: CC A.REI.6| A.4.d
STA: PA M11.D.2.1.4
TOP: 6-1 Problem 1 Solving a System of Equations by Graphing
KEY: system of linear equations | approximate solution of a system of linear equations | consistent |
independent
2. ANS: C
PTS: 1
DIF: L3
REF: 6-1 Solving Systems By Graphing
OBJ: 6-1.1 To solve systems of equations by graphing
NAT: CC A.REI.6| A.4.d
STA: PA M11.D.2.1.4
TOP: 6-1 Problem 1 Solving a System of Equations by Graphing
KEY: consistent | independent | approximate solution of a system of linear equations | system of linear
equations
3. ANS: A
PTS: 1
DIF: L3
REF: 6-1 Solving Systems By Graphing
OBJ: 6-1.2 To analyze special systems
NAT: CC A.REI.6| A.4.d
STA: PA M11.D.2.1.4
TOP: 6-1 Problem 3 Systems With Infinitely Many Solutions or No Solution
KEY: system of linear equations | solution of a system of linear equations | inconsistent
SHORT ANSWER
4. ANS:
y
–4
O
x
–4
(–3, –8)
–8
PTS: 1
DIF: L3
REF: 6-1 Solving Systems By Graphing
OBJ: 6-1.1 To solve systems of equations by graphing
NAT: CC A.REI.6| A.4.d
STA: PA M11.D.2.1.4
TOP: 6-1 Problem 1 Solving a System of Equations by Graphing
KEY: consistent | independent | approximate solution of a system of linear equations | system of linear
equations
5. ANS:
y
4
–4
(–1, –1)
4
x
–4
PTS: 1
DIF: L3
REF: 6-1 Solving Systems By Graphing
OBJ: 6-1.1 To solve systems of equations by graphing
NAT: CC A.REI.6| A.4.d
STA: PA M11.D.2.1.4
TOP: 6-1 Problem 1 Solving a System of Equations by Graphing
KEY: consistent | independent | approximate solution of a system of linear equations | system of linear
equations
6. ANS:
y
4
–4
4
x
–4
infinitely many solutions
PTS:
OBJ:
STA:
TOP:
KEY:
1
DIF: L3
REF: 6-1 Solving Systems By Graphing
6-1.2 To analyze special systems
NAT: CC A.REI.6| A.4.d
PA M11.D.2.1.4
6-1 Problem 3 Systems With Infinitely Many Solutions or No Solution
system of linear equations | solution of a system of linear equations | consistent | dependent
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