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WorksheetsPrecalc review quiz 1
Total questions: 10
Worksheet time: 22mins
Name
Class
Date
1.
Write the equation of a circle with center (2 , -1) and radius 4.
a)
(x + 2)2 + (y - 1)2 = 4
b)
(x - 2)2 + (y + 1)2 = 16
c)
(x + 2)2 + (y + 1)2 = 4
d)
(x - 2)2 + (y - 1)2 = 16
2.
Express product in simplest a + bi form: (3 - 2i)(4 + i)
a)
12 - 5i - 2i2
b)
10 - 5i
c)
14 + 5i
d)
14 - 5i
3.
Give the limit as
x->∞ : (2x - 1) / (4x + 2)
x->∞ : (2x - 1) / (4x + 2)
a)
-½
b)
½
c)
0
d)
∞
4.
Factor completely: x3 - 2x2 - 4x + 8
a)
x = 2 and x = -2
b)
(x + 2)(x - 2)
c)
(x - 2)2 (x + 2)
d)
(x - 2) (x + 2)2
5.
Give the range of F(x) = x2 - 4
a)
x ε R
b)
F(x) ≥ -4
c)
F(x) ≥ 4
d)
x ≥ 4
6.
Solve in interval notation:
3x2 + 10x - 8 > 0
3x2 + 10x - 8 > 0
a)
[-4 , ⅔]
b)
(-4 , ⅔)
c)
(-∞ , -⅔) v (4 , ∞)
d)
(-∞ , -4) v (⅔ , ∞)
7.
Write the equation of the line that passes through (2 , - 1) with a slope of - 3.
a)
y = - 3x - 7
b)
y = - 3x + 2
c)
y = - 3x + 5
d)
y = - 3x - 6
8.
Solve : 2 log 3 x = 8
a)
12
b)
81
c)
2
d)
64
9.
Write the equation of the ellipse with center (2, -3) , vertex (2 , -8) and focal (2 , -4).
a)
( x +2 )2 / 25 (y -3 )2 = 1
b)
(x - 2)2 + (y + 3)2 / 25 = 1
c)
(x - 2)/24+ (y+3) / 25 = 1
d)
(x -2)2/24+(y +3)2/25 =1
10.
Give the vertex and focal point of
y=1/4(x - 2)2 - 5
y=1/4(x - 2)2 - 5
a)
vertex(-2, -5) focal (-2 , -6)
b)
vertex (2 , -5) focal (2 , -4)
c)
vertex (2 , -5) focal (2 , -6)
d)
vertex (-5 , 2) focal ( -4 , 2)
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