Multiple Choice
Identify the
choice that best completes the statement or answers the question.
|
|
|
Simplify the expression.
|
|
|
1.
|
|
|
|
2.
|
|
|
|
3.
|
a. |  | b. | 16 | c. |  | d. | –8 |
|
|
|
4.
|
|
|
|
5.
|
|
|
|
6.
|
a. |  | b. | –15,625 | c. |  | d. | –500 |
|
|
|
7.
|
a. |  | b. | –15 | c. | 0 | d. | 125 |
|
|
|
8.
|
|
|
|
9.
|
|
|
|
10.
|
|
|
|
11.
|
|
|
|
12.
|
|
|
|
13.
|
|
|
|
14.
|
|
|
|
15.
|
|
|
|
16.
|
|
|
|
17.
|
|
|
|
18.
|
|
|
|
19.
|
|
|
|
20.
|
|
|
|
21.
|
|
|
|
22.
|
|
|
|
23.
|
|
|
|
24.
|
|
|
|
25.
|
|
|
|
26.
|
|
|
|
27.
|
|
|
|
28.
|
|
|
|
29.
|
|
|
|
30.
|
|
|
|
31.
|
Evaluate  for x = –3 and y = 2.
|
|
|
32.
|
Evaluate  for x = 2 and y = –4. a. | 16 | b. | –4 | c. |  | d. | –16 |
|
|
|
33.
|
Write  as a decimal. a. | 0.4 | b. | 0.004 | c. | –120 | d. | 4,000 |
|
|
|
34.
|
Chase scored 14 points on Monday, and he doubled his score each day thereafter.
How many points did he score on Thursday?
a. | 224 points | b. | 112 points | c. | 56 points | d. | 42
points |
|
|
|
35.
|
Which number is NOT written in scientific notation?
|
|
|
36.
|
Which number is written in scientific notation?
|
|
|
Write the number in scientific notation.
|
|
|
37.
|
8,670,000,000
|
|
|
38.
|
0.0805
|
|
|
Write the number in standard notation.
|
|
|
39.
|
a. | 9,000 | b. |  | c. | 90,000 | d. | 360 |
|
|
|
40.
|
a. | 0.0907 | b. | 0.907 | c. | 0.00907 | d. | –181.4 |
|
|
|
41.
|
Which list shows the numbers in order from least to greatest?
|
|
|
Simplify the expression. Write the answer using scientific
notation.
|
|
|
42.
|
|
|
|
43.
|
|
|
|
44.
|
Astronomers measure large distances in light-years. One light-year is the
distance that light can travel in one year, or approximately 5,880,000,000,000 miles. Suppose a star
is 13.6 light-years from Earth. In scientific notation, how many miles away is it?
a. |  miles | c. |  miles | b. | 
miles | d. | 
miles |
|
|
|
45.
|
|
|
|
46.
|
|
|
|
47.
|
|
|
|
Complete the equation, by supplying the missing exponent.
|
|
|
48.
|
3  
|
|
|
49.
|
m 
|
|
|
50.
|
Last year a large trucking company delivered  tons of goods with an
average value of $30,000 per ton. What was the total value of the goods delivered? Write the answer
in scientific notation. a. |  dollars | c. | 
dollars | b. |  dollars | d. |  dollars |
|
|
|
51.
|
Suppose a spherical asteroid has a diameter of approximately 
m. a. Find the radius using scientific notation. b. Use the formula  to
find the approximate volume of the asteroid.
|
|
|
52.
|
Radio signals travel at a rate of  meters per second. How many seconds
will it take for a radio signal to travel from a satellite to the surface of the Earth if the
satellite is orbiting at a height of  meters? a. | 8.3 seconds | c. |  seconds | b. |  seconds | d. |  seconds |
|
|
|
53.
|
Determine whether  is always, sometimes, or never true. a. | always | b. | sometimes | c. | never |
|
|
|
Find the common ratio of the sequence.
|
|
|
54.
|
2, –10, 50, –250, . . .
a. | –5 | b. | –12 | c. |  | d. | 12 |
|
|
|
55.
|
–164, –82, –41, –20.5, . . .
a. | –82 | b. | 2 | c. |  | d. | 82 |
|
|
|
56.
|
Find the next three terms of the sequence 3, 9, 27, 81, . . .
a. | –243, –729, –2187 | c. | 81, 243, 729 | b. | 243, 729,
2187 | d. | 87, 249,
87 |
|
|
|
Determine whether the sequence is arithmetic or
geometric.
|
|
|
57.
|
–2, 10, –50, 250, . . .
|
|
|
Find the first, fourth, and eighth terms of the sequence.
|
|
|
58.
|
a. | 1; –64; –16,384 | c. | –2; –16;
–256 | b. | –4; –32; –512 | d. | –8; –64;
–1,024 |
|
|
|
59.
|
You drop a ball from a height of 0.5 meter. Each curved path has 52% of the
height of the previous path.
a. Write a rule for the sequence using centimeters. The
initial height is given by the term n = 1.
b. What height will the
ball be at the top of the third path?
|
|
|
Evaluate the function rule for the given value.
|
|
|
60.
|
 for x = –3
|
|
|
61.
|
 for x = –5 a. | –15 | b. |  | c. |  | d. | –125 |
|
|
|
62.
|
Suppose a population of 250 crickets doubles in size every 6 months. How many
crickets will there be after 2 years?
a. | 4,000 crickets | c. | 2,000 crickets | b. | 6,000 crickets | d. | 1,000 crickets |
|
|
|
63.
|
Suppose an investment of $6,600 doubles in value every 8 years. How much is the
investment worth after 40 years?
a. | $211,200 | c. | $66,000 | b. | $105,600 | d. | $528,000 |
|
|
|
Match the table with the function that models the data.
|
|
|
64.
|
|
|
|
Match the function rule with the graph of the function.
|
|
|
65.
|
|
|
|
66.
|
|
|
|
67.
|
Which function is greater at the given value?  or
 at x = 9 a. |  | b. |  |
|
|
|
68.
|
Identify the initial amount a and the growth factor b in the
exponential function. 
|
|
|
69.
|
Suppose the population of a town is 2,700 and is growing 4% each
year.
a. Write an equation to model the population growth.
b. Predict the
population after 12 years.
a. |  ; about 129,600 people | b. |  ; about 4,323
people | c. |  ; about 4,323 people | d. |  ; about
45,298,483,200 people |
|
|
|
Find the balance in the account.
|
|
|
70.
|
$2,400 principal earning 2%, compounded annually, after 7 years
a. | $2,756.85 | c. | $17,136.00 | b. | $307,200.00 | d. | $2,736.00 |
|
|
|
71.
|
$3,800 principal earning 2%, compounded quarterly, after 7 years
a. | $4,369.52 | c. | $64,926.56 | b. | $4,365.01 | d. | $108,528.00 |
|
|
|
72.
|
Suppose a laboratory has a 26 g sample of polonium-210.The half-life of
polonium-210 is about 138 days.
a. How many half-lives of polonium-210 occur in 276
days?
b. How much polonium is in the sample 276 days later?
a. | 2; 6.5 g | c. | 2; 13 g | b. | 3; 3.25 g | d. | 2; 1,794 g |
|
|
|
73.
|
A boat costs $15,500 and decreases in value by 10% per year. How much will the
boat be worth after 5 years?
a. | $9,152.6 | b. | $15,450 | c. | $8,237.34 | d. |
$24,962.91 |
|
Short Answer
|
|
|
74.
|
Order  , and 435 from least to greatest.
|
|
|
75.
|
Write  with only one exponent. Use parentheses.
|
|
|
76.
|
Solve the equation. Show your work. 
|
|
|
77.
|
Find the next three terms of the sequence. Then write a rule for the
sequence.
648, 216, 72, 24
|
|
|
78.
|
A scientist counts 35 bacteria present in a culture and finds that the number of
bacteria triples each hour. The function  models the number of bacteria after x
hours. a. Graph the function. b. Use the graph to estimate when there will be
about 550 bacteria in the culture.
|
Essay
|
|
|
79.
|
Write the answer in scientific notation. A virus has a volume of
approximately  cubic centimeters. Calculate the estimated volume of 
viruses. Show your work.
|
|
|
80.
|
Simplify. Show your work. 
|
|
|
81.
|
Write a rule and find the given term in the geometric sequence described below.
Show your work. What is the eighth term when the first term is -4 and the common ratio is  ?
|
Other
|
|
|
82.
|
Explain why  is not in simplest form.
|
|
|
83.
|
Explain how to write  as an expression with only one
exponent.
|
|
|
84.
|
What happens to the terms of a sequence if the common ratio is 1? Explain your
answer.
|
|
|
85.
|
Determine whether the following statement is always, sometimes, or
never true. Explain your answer. If a > b, then  .
|