Download Practice Problem Set I

Math254A
Essential Mathematics-First Half
Name
Date
Practice Problem Set
I
The exam is closed book and closed notes. NO CALCULATORS. Please clearly show any work
necessary to get partial credit. Be sure to show your answer clearly. There will be approximately 26
problems on the actual exam.
1.
Find the place value of the digit 5 in the following whole numbers:
a) 8s9,234,647
b) 79,050,000
c) 6527
2.
Write the standard form for:
a) three million, forty-eight thousand, nvo
b)
forry-ruo thousand. nine
c) seven thousand, eight hundred ninety-six
3.
Write the word name for:
a) 204,564
b) 64,48s
c) 123
4.
Write the expanded form for:
a) 712,594
b)
s77
c) 32,176
5.
Write the standard form for:
a) 100,000 + 50,000 + 2000 + 100 + 80 + 6
b) 90,000 + 9000 + 30 + 2
c) 20,000 + 200
+
10 + 5
6.
Round 54,786,236 to the nearest
a) million
b) ten thousand
c) hundred
7.
Round 69,999 to the nearest
a) thousand
b) hundred
c) ten
8.
Find one number that when rounded to the nearest ten is 4600.
9.
Estimate the sum indicated below by first rounding each number to the nearest thousand:
56,487 + 28,531
10.
Estimate the product by first rounding each factor to the nearest
11.
Multiply. Show all steps. Do not round.
12.
Divide. Show all steps. Do not round. Ifthere is a remainder, write it as part of your answer.
35,875 + 51
13.
Find each quotient
n
a)
-a
'10
10
b),0
14.
a) What is the quotient of 45 and 3?
b) What is the product of 13 and 2?
c)
d)
15.
What is the sum of 24 and 12?
What is the difference of 31 and 17?
Find the area ofthis rectangle:
3 inches
5 inches
16.
Find the perimeter ofthe square:
hundred:
(587X312)
(s87)(312)
17.
An instructor at Cabrillo College eams $43,765 in 1995,$45,329 in 1996 and 548,432 in 1997. Find
the total amount the instructor eams during the three-year period.
18.
Three desks cost a total of$590.
19.
The following table shows populations of some cities (as of2005) in the United States.
Rank
If two of the desks cost
City
2
3
4
5
CA
6
(Source: The Wo
d
each, how much does the third desk cost?
2005
1,461,575
690,252
573,911
545,r47
533,427
4s6.441
Phoenix, AZ
Austin, TX
Seattle, WA
Las Vegas, NV
Portland, OR
1
$ 180
2000
1,321,046
6\6
563,374
478,434
529,121
407.018
Alnanac, 2010)
What was the difference in the populations of Austin and Sacramento in 2000?
20. a)
Write using exponential
notation:
b)
Writeusingexponentialnotation:
c)
Simplifr:
21. Evaluate:
3 .3 .3 .3 .5
X' X'!
.5 .9 .9
"
'9
I "y'Z'
Z'Z "Z
JB_J'
23'52
In problems 22-24, simplify by doing the indicated operations (in the conect order).
22.
32+@)(2)+32+(4.2)
23.
e0-2[(13 + 11)-3(s-
.tA
25.
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6'
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4.(x+y1
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