Chapter 7 Practice Test With Answers - Montville Township Public Schools
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1
2
3
4
5
6
7
8
9center: (–2, –4)
Practice Test - Chapter 7
+
= 1
Write an equation for an ellipse with each set of
3.
MULTIPLE CHOICE What value must c be so
characteristics.
2
2
that the graph of 4x
+ cy
+ 2x – 2y – 18 = 0 is a
1.
vertices (7, –4), (–3, –4); foci (6, –4), (–2, –4)
circle?
A –8
SOLUTION:
B –4
The distance between the vertices is 2a.
C 4
2a = |7 − (–3)|
D 8
2
a = 5; a
= 25
SOLUTION:
The distance between the foci is 2c.
The graph of a second degree equation of the form
2c = |6 – (–2)|
2
2
Ax
+ Bxy + Cy
+ Dx + Ey + F = 0 is a circle if
c = 4
2
B
– 4AC < 0 and B = 0 and A = C. Since A = 4,
C must also equal 4.
The correct answer is C.
Write each pair of parametric equations in
rectangular form. Then graph the equation.
= 2
4.
x = t – 5 and y = 3t – 4
center: (2, –4)
SOLUTION:
Solve for t.
x
+
= 1
= t − 5
x + 5 = t
Substitute for t.
2.
foci (–2, 1), (–2, –9); length of major axis is 12
y = 3t − 4
y = 3(x + 5) − 4
SOLUTION:
y = 3x + 15 − 4
The distance between the foci is 2c.
y = 3x + 11
2c = |1 − (–9)|
c = 5
Make a table of values to graph y.
x
y
The length of the major axis is 2a.
–6
–7
2a = 12
–4
–1
2
a = 6; a
= 36
–2
5
0
11
Plot the (x, y) coordinates and connect the points to
form a smooth curve.
= –4
center: (–2, –4)
+
= 1
3.
MULTIPLE CHOICE What value must c be so
2
5.
2
2
x = t
– 1 and y = 2t + 1
that the graph of 4x
+ cy
+ 2x – 2y – 18 = 0 is a
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Page 1
circle?
SOLUTION:
A –8
Solve for t.
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