PERIOD
DATE
NAME
SCORE
0°
1o Find the polar coordinates that do not describe
the point in the given graph.
C (2,30°)
A (-2, 30°)
D (-2,-150°)
B (-2,210°)
:.1 2 3
~ ’300 ’
Find the equation represented in the given graph.
H 0=2~
F 0=3
¯
J r=2
G r=3
2"~
2 , _.~
e
y 3__~ 3
2
3. A~RPLANE$ Two airplanes at the same altitude have polar coordinates
(2, 120") and (1, 45"), where r is in miles. Find the distance between them.
B L99 miles
C 2.46 miles
A 1.40 miles
e~
4. Find the equation which is graphed at the right.
F r=4cos 0
G r=2-2cos 0
,~
H r=2+2cos0
J r=2+2sin0
e
5. Identify the graph for the polar equation r = 4 sin 0.
A
120~~60o C !2@00 D 12~0°
1500~30O° , 15~30° 150~30°
120° 9
°
240° 270" ~vr- qn0°
¯
..’,u 270° ,,,,’~"~"-4-~qno°
240° 2~o 300v
240°~70O 300°
Find polar coordinates for the point with rectangularcoordinates (~, 1)
if0 < 0 _< 2~ and r _> 0.
7. ROBOT A robot’s hand is posit{oned s.o its center has polar coordinates
(3, 180°). Find rectangular coordinates for this point.
A (-3, 0)
B (0, 3)
C (3, 0)
D (0,-3)
8. Write the rectangular equation x = 3 in polar form.
H 0=3
F r=3csc0
G r=3 "
Chapter 9
;3,~
J r=3secO
o~
8.
Glencoe Precalculus
DATE
NAME
PERIOD
SCORE
Write the letter for the correct answer in the blank at the right of each problem.
1. Express th~ series 5 + 9 + 13 + ... + 101 using sigma
notation.
~o
25
A ~(4n+l)
- 25
24
B ~ (4n+l) C ~ (4n-i) D ~ (4n+l)
n=l
n=l
n=l
n=l
2. Find the next two terms of the sequence 8, 2, -4, ....
F .8,-12
G -i0,-16
H i0, 16
Find the fifth term in the sequence 11, -44, 176, ....
B -704
A -2816
C 704
J -6, -8
o
D 2816
4. The next term in the Fibonacci sequence 1, 1, 2, 3, 5, ... is __.
J 15
F6
G7
H8
4~
Find the 15th term in the arithmetic sequence 14, 10.5, 7, ....
D 66.5
A -63’
B -35
C 63
e
6. In an arithmetic sequence, wha~ is d if a1 is 13 and a71 = 223?
-2
F-3
G6
H3
J
7. Find the sum of the first 20 terms in the arithmetic series 14 + 3 - 8 + ....
B -195
C 195
I) 1810
A-1810
e
SALARY An employee agreed to a salary plan where his annual salary
increases by the same amount each year. If he earned $49,310 for the fourth
year and $65,310 for the ninth year, how much was his pay for the first year?
F $18,200
G $39,710
1~ $42,910
J $46,110
4
9~
Write ~ 3~-~ in expanded form and then find the sum.
k=l
A 1+3+9+27;40
C 3+9+27+81;120
1 1 1 40
B 1 +-3-+-~+ 2--~; 2-~-
D 0+2+8+26;36
10. Which are the two geometric means between 2 and -1024?
F "8, 8
G -6, -14
I~ -16, 128
J 255.5, 511
11. Find the sum of 22 + 11 + 5.5 + ....
B 44
A 40
C 50
l(k ~
D does not exist 11. __
12. APPRECiATiON Each year, the value of an antique increases by 6%.
If the antique was worth $1600 in 2009, what will its value be in 2015?
F $1174.25
Chapter 10
G $1677.22
H $2141.16
41
J $2269.63
12.
Glencoe Precalculus
NAME
DATE
PERIOD
(continued)
13o Suppose in-a proof of the summation formula
1 + 5 + 9 + ... + 4n - 3 = n(2n - 1) by mathematical induction,
you show the formula valid for n = 1 and assume that it is .valid for
n = k. What is the next equation in-the induction step of this proof?.
A l+5+9+...+4k-3+4(k+1)-3=k(2k-1)+4(k+l)-3
B 1+5+9+...+4k-3=k(2k-1)+4(k+1)-3
C l+5+9+...+4k-3=k(2k-1)
D l+5+9+...+4k-3+4(k+l)-3=k(2k-1)+(k+l)[2(k+l)-1]
14o What is the third term in the expansion (x + 4y)4?
F 64y3
G 48x2y~
H 96x2y2
J 256xy3
15. The expression 32x5 + 80x4 + 80x~ + 40x2 + 10x + 1 is the expansion of
which binomial?
A (2x+1)5
B (x+2)5
C (2x+2)5
D (2x-1)5
15o ~
PR]Z~:$ The probability of choosing a yogurt with a winning lid is 0.25.
What is ~the approximate probability that exactly 2 of the 4 yogurts Shirley
bought have winning lids?
F 2.3%
G 6.3%
16o
H 21.0%
J 28.1%
17o
What is In (-21)?
A 3.0445
B i% - 3.0445
~
C ~% + 3.0445 D -3.0445
18o What is 1 - i in exponential form?
r--- i7~
F V~e~
G V2eT
7~
~r
H e~q-
J e~
19o ,~NVESTMENT Ms. Tirado puts $1800 into an account that compounds.
continuously at 2.0%. Which series can be used to approximate the account
balance, assuming she does not deposit any more money?
= 1800n!
C 1800
B 1800~ (0"02x)n
0.02n!
D 1800~ (0.02x)n
~!
n =o n!
n=0
Which is the power series representation off(x) 1-p6 2x
(2x)n
~0
2n +
G ~ (- 1)~ (2x - 5)
(2n + i)!
/~= o
1
J ~ (2x-
5)~
~=0
Bonus If a~, a~, a~, ..., a~ is an arithmetic sequence, where a~. 0,
1 ~1a~~ "’" , a--~-1 is a harmonic sequence. Find one harmonic
then a~,1 a~
mean between 2 and 3.
Chapter 10
42
Glencoe Precalculu~
PERIOD
DATE
NAME
SCORE
Write the ~etter for the correct answer in the b~ank at the right of each question.
CARS The table shows the number of cars sold by 20 salespeople in one week.
10
8
7
2
6
9
7 ¸5
7
7
3
9
5
11
8
7
6
5
4
10
1. Which best describes the shape of the distribution?
C positively skewed
A fairly symmetric
l) negatively skewed
B bimodal
1.
2. What is the median of the data?
F6.8
G6
2.
,. J7.5
What is the mean of the data?
A 6.5
B 6.8
712
For Questions 4 and 5~ use the probability ~distribution:
1
0.15
e
2
0.20
3
0.18
4
0.22
5
0.13
6
0.12
What is the mean of the distribution?
(~ 3
H 3.34
F 1.58
4.
J 13.66
6o What is the standard deviation of the distribution?
A 1.58
B 2.50
C3
I) 3.34
6. ]NVES~’MENY If an investment of $10,000 is successful, the investor makes
$50,000. Otherwise, he or she loses everything. Which is the expected value
if the probability of success is 40%?
F $4000
G $6000
H $10,00.0 .J $14,000
7. What is z ifX = 237, ~ = 220, and ~r = 1213?
B -1.38
C 1.38
A -4.55
D 4.55
7.
& LICENSES In a certain region, the ages of licensed drivers is normally
distributed with a mean of 44.5 years and a standard deviation of 9.1 years.
Find the probability that a randomly selected driver is younger than 25.
F 1.6%
G 2.7%
H 4.9%
J 88.4%
8.
9. If there are 42,000. drivers in the region described in Question 8, what is the
approximate number of drivers younger than 25?
A 672
B 1134
C 2058
D 2625
9.
10. In a normal distribution with/~ = 120 and ~r = 4, a random sample of
35 values is chosen. Find the probability that the sample mean is between
119 and 121..
J 86.1%
G 40.1%
H 50%
F 11.2%
11. In a binomial distribution, n = 50, p = 0.20, and q = 0.80..Find P(X < 12).
A 70.2%
B 76%
C .79.8%
]D 81~2%
11.
Chapter 11
47
Glencoe Precalculus
NAME
DATE
PERIOD
SCORE
Write the letter for the correct answer in the blank at the right of each question.
For Questions i and 2, use the graph of y = f(x)below to find each value.
lim
lo
A0
C2
B1
D3
o
.
2. lim +f(x)
x--~3
3. MOTOR HOME. After t years, the value v of a motor home purchased
for $150,000 is v(t) = 150,000(0.92)~. Estimate lim v(t).
t ~-~ o~
A $150,000
B $100,000
C $75,000
D $0
G±
2
gl
J0
Evaluate each
0
lim x/~- 2
x--*4 x --4
F__1
4
6, lim 3x~ - 2x
x ~ ~ 5xa + 7x2
A~
B3
5
.
CO
0,
6o lim 2x3-x~+3
X ---~ --o~
F-~
o
¢
1-13
Find the slope of the line tangent to the graph o.f
y = x3 - 1 at the point (-2,.-9).
A 12
B9
C -9
J~
D -12
"%%
Find an equation for the slope of the graph ofy = -2x2 + 5x at any point.
F rn -4
o
G2
H m=5
I-I m=-4x
J m=-4x+5"
~:ALUNG OBJECTS Kyle drops a golf ball from a 1600-foot building.
The position of the golf ball after t seconds is given by s(t) = -16t~ + 1600.
How fast is the golf ball falling after 3 seconds?
A -32 ft/s
B -96 ft/s
C -144 ft/s
ID 1456 ft/s’
Find an equation for the instantaneous velocity v(t) if the height of an
object is defined as h(t) = 5 -6t + t~ for any point in time t.
F v(t)=2t
H v(t)=t~
’ H v(t)=-6+2t J v(t)=-6
Chapter 12
41
Glencoe Precalculus
Page 35
¯¯ Page 41
Page 42
A
le
G
e
H
2. G
D
!-
15. A .,,
H
A
H
8. G
9. A
~1o. H
2o. J
e
A