Document 6518153

EOC Algebra I Sample Items Goal 2
North Carolina Testing Program
1.
What is the area of a square with
vertices (3, 3), (6, 6), (9, 3), and (6, 0)?
A
3 2 units2
B
12 2 units2
C
18 units2
D
36 units2
2.
On a map’s coordinate grid,
Panthersville is located at
( — 3, 2) ,
and Heel City is located at ( 4, 8 ) .
Falconton is the midpoint between
Panthersville and Heel City. What
is the approximate distance from
Panthersville to Falconton?
(One map unit equals one mile.)
Page 1
A
3.25 miles
B
4.61 miles
C
5.00 miles
D
9.22 miles
Published December 2007. May reproduce for instructional and
educational purposes only; not for personal or financial gain.
EOC Algebra I Sample Items Goal 2
North Carolina Testing Program
3.
What is the perimeter of
+PQR ?
y
Q (—2, 3)
x
R (3, —2)
P (0, —5)
Page 2
A
136
B
10 21
C
2 5 + 2 3 + 17 2
D
8 2 + 2 17
Published December 2007. May reproduce for instructional and
educational purposes only; not for personal or financial gain.
EOC Algebra I Sample Items Goal 2
North Carolina Testing Program
4.
(
)
Given points P (7, 5) , Q (8, 3) , R 0, —1 ,
(
)
6.
one side of a parallelogram
and S —1, 1 , which statement is true?
A
B
C
D
5.
HJG
is 3 x + 2 y = 8. The opposite side
HJG
contains the point ( 0, — 7 ). Which is
PQ is parallel to RS.
HJG
HJG
HJG
HJG
the equation of the line that contains
PQ is perpendicular to RS.
the opposite side?
PR is perpendicular to QS.
HJG
The equation of the line containing
HJG
A
y = 2x−7
B
−
y = 3x+7
C
y = 2x+7
D
−
y = 3x −7
3
PR is parallel to QS.
Line segment RS is perpendicular
to line segment PQ, and the
(
) (
)
coordinates are R 4, — 5 , S — 8, 4 ,
(
)
P(0, 6), and Q —3, y . What is the
2
3
2
value of y?
Page 3
A
9
B
8.25
C
2
Which of the following is an
equation of the line perpendicular
to 3x + 6 y = 12 and passing
through (4,0)?
D
2
3
A
—
y = 12 x + 2
B
y = 12 x − 2
C
y = —2x + 8
D
y = 2x − 8
7.
Published December 2007. May reproduce for instructional and
educational purposes only; not for personal or financial gain.
EOC Algebra I Sample Items Goal 2
North Carolina Testing Program
8.
The line passing through points
( x, 4 ) and ( 4, —5 )
is perpendicular
−
to a line with a slope of 7 . What is
3
the value of x ?
A
—
17
B
1
7
C
55
7
D
25
End of Goal 2 Sample Items
In compliance with federal law, including the provisions of
Title IX of the Education Amendments of 1972, the
Department of Public Instruction does not discriminate on
the basis of race, sex, religion, color, national or ethnic
origin, age, disability, or military service in its policies,
programs, activities, admissions or employment.
Page 4
Published December 2007. May reproduce for instructional and
educational purposes only; not for personal or financial gain.
EOC
1
2
3
Algebra 1 Goal 2
Sample Items Key Report
Objective:
2.01
Find the lengths and midpoints of segments to solve problems.
Analyzing
Thinking Skill:
Correct Answer:
C
Objective:
2.01
Find the lengths and midpoints of segments to solve problems.
Analyzing
Thinking Skill:
Correct Answer:
B
Objective:
2.01
Find the lengths and midpoints of segments to solve problems.
Applying
Thinking Skill:
Correct Answer:
D
4
Objective:
2.02
Use the parallelism or perpendicularity of lines and segments to solve problems.
Applying
A
Thinking Skill:
Correct Answer:
5
Objective:
2.02
Use the parallelism or perpendicularity of lines and segments to solve problems.
Analyzing
C
Thinking Skill:
Correct Answer:
6
Objective:
2.02
Use the parallelism or perpendicularity of lines and segments to solve problems.
Analyzing
D
Thinking Skill:
Correct Answer:
7
Objective:
2.02
Use the parallelism or perpendicularity of lines and segments to solve problems.
Analyzing
D
Thinking Skill:
Correct Answer:
8
Objective:
2.02
Use the parallelism or perpendicularity of lines and segments to solve problems.
Analyzing
D
Thinking Skill:
Correct Answer:
Page 1
Published December 2007. May reproduce for instructional and educational
purposes only; not for personal or financial gain.