DATE
9
PERIOD
Chapter 9 Test, Form 2B
SCORE
Write the letter for the correct answer in the blank
at the right of each question.
y
9
4"*-*/($-6#
"3&/"
8
7
$*5:$&/5&3
6
5
-*#3"3:
4
3
)041*5"2
1
.64&6.
O 1 2 3 4 5 6 7 8 9x
For Questions 1 and 2, refer to the figure at the
right showing six city locations. The origin is
at the lower left corner of the grid.
1. What is the location of the point halfway between
the hospital and the arena?
A (2, 6)
B
(6, −52 )
C
( −52 , 6)
D
( −12 , 3)
2. What is the distance between the museum and the sailing club?
53
## units
G 53 units
H −
units
J 9 units
F √53
1.
2.
2
3. Write the equation of the parabola y = 4x2 - 8x + 1 in standard form.
A y = (x - 4)2 - 15
C y = 4(x - 1)2 - 3
B y = 4(x - 1)2 + 5
D y = 4(x - 4)2 - 15
3.
4. Write an equation for the parabola with focus (1, 3) and vertex (0, 3).
F y = 4(x - 3)2
(
4)
3
1
G x=-−
(y + 3)2 H y = -4 x + −
4
2
1
J x=−
(y - 3)2
4
5. Which equation is graphed at the right?
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
A
y = 2x2 - 8x + 7
B x = -2y2 - 8y - 7
4.
y
C y = -2x2 + 8x - 7
D y = -2x2 - 8x - 7
-4
-2 O
6. Write an equation for a circle if the endpoints of
a diameter are at (1, 1) and (1, -9).
2
4x
-2
5.
-4
F (x - 1)2 + (y + 4)2 = 5
H (x + 1)2 + (y - 4)2 = 5
G (x - 1)2 + (y + 4)2 = 25
J (x + 1)2 + (y - 4)2 = 25
6.
7. Which is the equation of a circle with center (0, 1) and radius 2 units?
A x2 + y2 + 2y = 3
C x2 + y2 - 2y = 4
B x2 + y2 + 2y = 1
D x2 + y2 - 2y = 3
7.
8. Write an equation for an ellipse if the endpoints of the major axis are at
(1, 6) and (1, -6) and the endpoints of the minor axis are at (5, 0) and (-3, 0).
y2
(x - 1)2
36
16
y2
(x + 1)2
G −+−=1
36
16
F −+−=1
(x - 1)2
y2
36
16
y2
x2
J −+−=1
36
16
H −+−=1
8.
9. Which is the equation of an ellipse with center (-4, 2) and a horizontal
major axis?
(y - 2)2
(x + 4)2
16
4
(y - 2)2
(x - 4)2
B −+−=1
16
4
A −+−=1
Chapter 9
(x + 4)2
(y + 2)2
16
4
(x - 4)2
(y - 2)2
D −+−=1
16
4
C −+−=1
61
9.
Glencoe Algebra 2
Assessment
NAME
NAME
DATE
9
Chapter 9 Test, Form 2B
PERIOD
(continued)
10. Find the center and radius of the circle with equation (x - 1)2 + y2 = 16.
F (1, 0); 4
G (-1, 0); 16
H (0, 1); 4
J (0, -1); 16
10.
11. Write an equation for the hyperbola with vertices (0, -1) and (0, 3) and
foci (0, -3) and (0, 5).
2
(y + 1)2
4
12
y2
(x + 1)2
B −-−=1
12
4
2
(y - 1)2
4
12
(y - 1)2
x2
D −-− =1
12
4
x
=1
A −-−
x
C −-−
=1
12. Which equation is graphed at the right?
F 9x - 4y = 36
H 9y - 4x = 36
G 4x - 9y = 36
J 4y2 - 9x2 = 36
2
2
2
2
2
2
2
-4
(x + 1)2
1
(y + 2)2
4
B (x + 1)2 + (y - 2)2 = 4
y
12.
4x
2
-2 O
-2
13. Write the equation 4x2 + 8x - y2 - 4y - 4 = 0
in standard form.
A −-− =1
11.
(y - 2)2
(x - 1)2
1
4
(y + 2)2
(x - 1)2
D −+− =1
4
1
C −+− =1
13.
14. Write the equation 2y - 4y - x + 12 = 0 in standard form.
2
F y = 2(x + 1)2 + 6
H y = (x - 1)2 + 10
G x = 2(y - 1)2 + 10
J x = 2(y + 1)2 + 6
14.
15. The graph of which equation is a circle?
C 6x2 - 6y2 - 12x = 1
B 6x2 - 12x + 6y2 = 1
D 6x2 + 6y + 12x = 1
15.
H ellipse
16.
16. What is the graph of x2 + 25y2 = 50?
F parabola
G circle
J hyperbola
17. Solve the system of equations by graphing y = x2 - 2 and y = 2x - 2.
A (-2, 0), (2, 2)
B (2, 0), (0, -2)
C (-2, 0), (-2, 2) D (0, -2), (2, 2)
18. Which system of inequalities is graphed at the right?
F x2 + y2 ≤ 9
y2 + x ≥ 0
H x2 + y2 ≥ 9
y2 - x ≤ 0
G x2 + y2 ≥ 9
y2 + x ≥ 0
J x2 + y2 ≤ 9
y2 + x ≤ 0
17.
y
2
-4
O
-2
4x
2
-2
18.
For Questions 19 and 20, find the exact solution(s) of each system of equations.
19. x2 + 4y2 = 16 and x + 2y = -4
A (0, -2), (0, 2)
B (0, -2), (4, 0)
C (0, -2), (-4, 0) D (0, 2), (4, 0)
19.
H (6, 0), (-6, 0)
20.
20. x2 + y2 = 36 and y = x - 6
F (0, -6), (6, 0)
G (0, 6), (6, 0)
Bonus Solve the system of equations x2 + (y - 3)2 = 4 and
x2 + (y + 3)2 = 4.
Chapter 9
62
J (-6, 0), (0, 6)
B:
Glencoe Algebra 2
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
A 6x2 - 12x = 6y2 + 1