EOC Algebra II Sample Items Goal 2
North Carolina Testing Program
1.
Which of the following is an equation for the circle shown?
y
+6
+5
+4
+3
+2
+1
— 6 —5 — 4 — 3 — 2 — 1 0
—1
+1 +2 +3 +4 +5 +6
x
—2
—3
—4
—5
—6
2.
A
x 2 + y2 + 6 x − 2 y + 1 = 0
B
x 2 + y2 − 6 x − 2 y + 1 = 0
C
x 2 + y2 + 6x + 2 y + 7 = 0
D
x 2 + y2 − 6x − 2 y + 7 = 0
Which is an equation for the parabola
that has vertex
(
−
through the point
(
−
)
1, 5 ?
Which curve opens to the left?
A
y2 = 8x + 24
B
2
y = x −3
8
A
y = x + 4x + 7
B
y = x2 − 4x + 7
C
y2 = —8x − 24
C
y = 2x2 − 8x + 11
D
y =
D
Page 1
)
2, 3 and passes
3.
2
— x2
8
+3
y = 2x 2 + 8x + 11
Published October 2003. May reproduce for instructional and
educational purposes only; not for personal or financial gain.
EOC Algebra II Sample Items Goal 2
North Carolina Testing Program
4.
Which is the graph of a circle with equation x 2 + 4 x + y2 − 6 y = 3?
A
B
y
+ 10
+ 10
+9
+9
+8
+8
+7
+7
+6
+6
+5
+5
+4
+4
+3
+3
+2
+2
+1
+1
— 10 — 9 — 8 — 7 — 6 — 5 — 4 — 3 — 2 — 1 0
—1
+ 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
x
— 10 — 9 — 8 — 7 — 6 — 5 — 4 — 3 — 2 — 1 0
—1
—2
—2
—3
—3
—4
—4
—5
—5
—6
—6
—7
—7
—8
—8
—9
—9
y
D
+ 10
+9
+9
+8
+8
+7
+7
+6
+6
+5
+5
+4
+4
+3
+3
+2
+2
+1
Page 2
x
y
+ 10
— 10 — 9 — 8 — 7 — 6 — 5 — 4 — 3 — 2 — 1 0
—1
+ 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
— 10
— 10
C
y
+1
+ 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
x
— 10 — 9 — 8 — 7 — 6 — 5 — 4 — 3 — 2 — 1 0
—1
—2
—2
—3
—3
—4
—4
—5
—5
—6
—6
—7
—7
—8
—8
—9
—9
— 10
— 10
+ 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
Published October 2003. May reproduce for instructional and
educational purposes only; not for personal or financial gain.
x
EOC Algebra II Sample Items Goal 2
North Carolina Testing Program
5.
6.
Page 3
Which of the following points is in the interior of the graph of the relation
x 2 + y2 = 1?
9
25
A
( 3, 5)
B
( 2, 4)
C
(0, —5)
D
( —2, —3)
2
y2
= 1?
Which of the following are the x-intercepts for x −
16
9
A
{ —3, 3}
B
{ —4, 4}
C
{ —5, 5}
D
{ —8, 8}
Published October 2003. May reproduce for instructional and
educational purposes only; not for personal or financial gain.
EOC Algebra II Sample Items Goal 2
North Carolina Testing Program
7.
Which is the correct graph of x2 − y2 + 6 x + 10 y − 17 = 0?
A
B
y
y
x
x
C
y
D
y
x
Page 4
Published October 2003. May reproduce for instructional and
educational purposes only; not for personal or financial gain.
x
EOC Algebra II Sample Items Goal 2
North Carolina Testing Program
Which of the following
8.
is a point on the graph
of
( x - 1 )2
25
+
A
( — 4, —1)
B
( — 4, 1)
C
(4, 1)
D
(4, —1)
( y + 1 )2
9
= 1?
End of Goal 2 Sample Items
Page 5
Published October 2003. May reproduce for instructional and
educational purposes only; not for personal or financial gain.
Answers to EOC Algebra II Sample Items
Goal 2
1. Objective 2.01
Write the equations in standard form of circles and parabolas; graph.
Thinking Skill:
Applying
Correct Answer: A
2. Objective 2.01
Write the equations in standard form of circles and parabolas; graph.
Thinking Skill:
Applying
Correct Answer: D
3. Objective 2.01
Write the equations in standard form of circles and parabolas; graph.
Thinking Skill:
Analyzing
Correct Answer: C
4. Objective 2.01
Write the equations in standard form of circles and parabolas; graph.
Thinking Skill:
Applying
Correct Answer: A
5. Objective 2.02
Graph ellipses and hyperbolas given the equations.
Thinking Skill:
Analyzing
Correct Answer:
D
6. Objective 2.02
Graph ellipses and hyperbolas given the equations.
Thinking Skill:
Analyzing
Correct Answer:
B
7. Objective 2.02
Graph ellipses and hyperbolas given the equations.
Thinking Skill:
Applying
Correct Answer:
C
8. Objective 2.02
Graph ellipses and hyperbolas given the equations.
Thinking Skill:
Analyzing
Correct Answer:
A
North Carolina Testing Program
Published October 2003. May reproduce for instructional and educational purposes
only; not for personal or financial gain.