NEW
Font size
S
M
L
XL
WorksheetsMath Analysis Unit 4 Test Review
Total questions: 50
Worksheet time: 7hrs 53mins
Name
Class
Date
1.
Which point represents (3, 3π/4)?
a)
F
b)
E
c)
B
d)
A
2.
Convert the polar coordinates to rectangular form.
(6, 2π/3)
(6, 2π/3)
a)
( -3, 3)
b)
(3, 3√3)
c)
(-3, 3√3)
d)
(3, -3√3)
3.
Which point represents (-4, 4π/3)
a)
F
b)
E
c)
B
d)
A
4.
Which point represents the polar coordinate
(-4, -2π/3)?
(-4, -2π/3)?
a)
B
b)
F
c)
D
d)
A
5.
Which point represents (5, π)
a)
F
b)
E
c)
B
d)
A
6.
Which point represents (-4, π/2)
a)
D
b)
C
c)
B
d)
A
7.
Which point represents the polar coordinate
(-2, -5π/6)?
(-2, -5π/6)?
a)
B
b)
F
c)
D
d)
C
8.
Convert the Cartesian, rectangular coordinates to polar form, (r, θ).
a)
(√2 , 7π/4)
b)
(2 , 3π/4)
c)
(4 , π/4)
d)
(4 , 5π/4)
9.
Convert the Cartesian rectangular coordinates to polar form, (r, θ).
a)
(2√2 , 7π/6)
b)
(4 , 3π/4)
c)
(2√2 , π/6)
d)
(8 , 7π/6)
10.
Covert the Cartesian rectangular equation to polar form.
a)
r² = 81
b)
r = 3
c)
r = 4.5
d)
r sin θ = 9
11.
Convert the polar equation to Cartesian, rectangular form.
a)
x = 2 cos θ
b)
x = 2
c)
y = 2
d)
x² + y² = 2
12.
Covert the rectangular equation to polar form
a)
r sin θ = 4
b)
r = 4 csc θ
c)
r = sec θ ∕ 4
d)
r = 4 sec θ
13.
Convert the polar equation to rectangular form
a)
x² + y² = 49
b)
x = 7
c)
x + y = 49
d)
x² + y² = 7
14.
Convert the polar equation to rectangular form
a)
y = x
b)
x = 0
c)
y = 0
d)
tan θ = 0
15.
Convert the rectangular point into polar from:
(-4√2, -4√2)
(-4√2, -4√2)
a)
(8, 3π/4)
b)
(16, 3π/4)
c)
(8, 5π/4)
d)
(16, 5π/4)
16.
Convert θ = 225o to rectangular equation
a)
y= -x
b)
y = x
c)
tanθ=-1
d)
tanθ=1
17.
Find the rectangular form of the polar coordinate:
(-3, 30⁰)
(-3, 30⁰)
a)
( -3/2, (-3√3)/2 )
b)
( (-3√3)/2, -3/2 )
c)
( 3/2, (3√3)/2 )
d)
( (3√3)/2, 3/2 )
18.
Which equation represents the polar graph?
a)
r = sin θ
b)
r = sin 4θ
c)
r = 4 sin θ
d)
r = 4 cos θ
19.
Which equation represents the polar graph?
a)
r = 6 + 6 sin θ
b)
r = 12 sin θ
c)
r = 4 - 3 sin θ
d)
r = 4 + 5 sin θ
20.
Which equation represents the polar graph?
a)
r = sin 4θ
b)
r = 6 sin 2θ
c)
r = 6 cos 2θ
d)
r = cos 4θ
21.
Which point represents (-4, 225⁰)?
a)
A
b)
B
c)
C
d)
D
22.
a)
A
b)
B
c)
C
d)
D
23.
a)
A
b)
B
c)
C
d)
D
24.
a)
A
b)
B
c)
C
d)
D
25.
a)
A
b)
B
c)
C
d)
D
26.
a)
A
b)
B
c)
C
d)
D
27.
a)
A
b)
B
c)
C
d)
D
28.
a)
A
b)
B
c)
C
d)
D
29.
a)
A
b)
B
c)
C
d)
D
30.
a)
A
b)
B
c)
C
d)
D
31.
Convert the polar coordinates to rectangular form
a)
(1, 1)
b)
(1, -1)
c)
(-1, 0)
d)
(-1, -1)
32.
Which of these coordinates do not belong?
a)
(4, -150o)
b)
(-4, -210o)
c)
(4, 690o)
d)
(4,-30o)
33.
Solve for x
a)
5
b)
13
c)
84
d)
-20
34.
Which of the following is the value of x given;
7e^(3x - 5) = 49
7e^(3x - 5) = 49
a)
x = (ln7 + 5)/3
b)
x = ln7 + 15
c)
x = ln4
d)
x = ln7/3 + 5
35.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
36.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
37.
Solve for x: log6x + log6(x-5) = 2
a)
√7
b)
9
c)
4
d)
none of these
38.
Change to Exponential Form:
log636 = 2
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
39.
Use multiple log properties to write as a sum or difference of two logs: log(4x3)
a)
log 4 + 3log x
b)
3log 4 + 3log x
c)
3log 4 + log x
d)
log 12 + log x
40.
Use multiple log properties to write as a single log:
log2x - 5log2y
log2x - 5log2y
a)
log2(x/y5)
b)
log2(xy5)
c)
log2(x/y)5
d)
log2(x/5y)
41.
What is the domain and range of
f(x) = log 3 (x + 1)?
f(x) = log 3 (x + 1)?
a)
D: (− ∞, ∞) R: (−1, ∞)
b)
D: (− ∞, ∞) R: (1, ∞)
c)
D: (−1, ∞) R: (− ∞, ∞)
d)
D: (1, ∞) R: (− ∞, ∞)
42.
Solve for x:
a)
10
b)
30
c)
3
d)
1000
43.
The focus is at (2,0) and the vertex is at (-4,0). What is the equation of the parabola?
a)
y2 = 24(x+4)
b)
(y+4)2 = -12x
c)
x2 = 16(y+4)
d)
(x+4)2 = -20y
44.
(x+3)2 = 4(y+5)
What is the equation of the directrix?
What is the equation of the directrix?
a)
x = 4
b)
x = 2
c)
y = -4
d)
y = -6
45.
(y-4)2 = -8(x+1)
What are the coordinates for the focus?
What are the coordinates for the focus?
a)
(1,4)
b)
(-1,6)
c)
(-1,2)
d)
(-3,4)
46.
4x2 – 5y2 + 2x – 8y + 10 = 0
a)
Circle
b)
Ellipse
c)
Hyperbola
d)
Parabola
47.
6y2 – 5x – 2y + 5 = 0
a)
Parabola
b)
Circle
c)
Hyperbola
d)
Ellipse
48.
6x2 + 6y2 – 3x + 4y = 0
a)
Circle
b)
Parabola
c)
Hyperbola
d)
Ellipse
49.
What number would go in the blank?
a)
-2
b)
-4
c)
-8
d)
-16
50.
Given the equation of the parabola, where would the VERTEX be? (put in standard form)
a)
( 3 , 3)
b)
(24, 3)
c)
( - 24, 3)
d)
(-3, 3)
Reset
