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Name __________________________________________ Math 130A – Exam I – - Sept. 22, 2004
1. Identify each of the following sets with its corresponding name.
a) {0, 1, 2,3, 4, .... } → the set of ___________________________
b) { .... – 3, - 2, - 1, 0, 1, 2, 3, ... } → the set of ____________________
2. Identify the property that is being used (complete name).
a)
3 • 2 = 2 • 3 → the _____________________ property of _______________
b) ( ab ) c = a ( bc ) → the ____________________________
3. True or False
_____________
a)
a + c = c + a, because of the
commutative property of multiplication
____________
c)
0 represents the smallest natural
(counting)number
____________
b)
-4 ≤ 6 is never true
___________ d) -(- 4 )2 = 16
______________ e) all counting (natural) numbers are positive
______________ f) 0 ÷ a = 0
_______________ g) putting your left shoe, right shoe is commutative
4. Estimate the following ( as done in HW and in class).
a) 9497 - 809 → _____________
b) 371 • 46 → ________________
5. Evaluate the following expressions if a = - 4 and b = - 3 . Write in simplest form.
a) ab - b = ___________
b) a2 - b2 = ________________
a+b
c) ------------ = ___________
a -b
6. Write in words.
( from standard form to word )
107,003 → __________________________________________
7. Write in standard form.
One million forty thousand one hundred two → _______________
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8. Perform the given operation and simplify to one term.
a) 2448 ÷ ( - 24 ) = ________________
b) 4 – 2 • 3 + 8 ÷ 2 = _______________
c) - | - 226 | +
d)
| - 412 | = ___________
- 502 • ( 23 ) = ______________
9. Answer each of the following
a) Find the cube of 6. _____________
b) Find the prime factorization of 80 in exponential form. _______________
10. Find the GCF of 24 and 16 and the LCM of 24 and 16
GCF ( 24, 16 ) = ____________
11. What is the opposite of
LCM(24, 16 ) = ____________
- | - 12 | → __________
12. Simplify the following by performing the operations in the proper order.
a) -22 - 1 • 04 = _________
c) 6 - 6 • 15 ÷ 32 = _____________
b) 4 ÷ 20 + 0 ÷ 4 + 22 = ________
d) 4 – 2 [ 3 + 2 ( 2 - - 7 ) ] = _________
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13. Find the solution of each of the following equations.
a) x + 254 = - 25 → x = __________
14.
What is
x ÷ 0 = ____________
b) 23 – x = 12 → x = _________
0 • x = ____________
1 • x = ________
x • ( - 1/x) = ________
15. 242 pairs of shoes are needed. A box can hold 12 pairs of shoes. How many boxes must be ordered so that you will
have the required number of shoes?
16. The parents of a child are hosting a bday party. If 14 children are expected to attend and each one will drink 20
oz. of lemonade, then how much lemonade should be made ?
___________
17. Albert was born on March 14, 1979. He died on April 18, 2003. How old was he when he died ?
__________
18. As a sales representative you have a goal to sell $200,000 in merchandise. You have sold $ 42,000 during the first
quarter, $38,400 during the second quarter, $ 62,000 during the third quarter. How much must you sell during the 4th
quarter of the year to reach your goal ?
___________
19.
Write the following fraction as a mixed number.
39 / 5 = ____________
Write the following mixed number as an improper fraction 4 2/3 = ____________
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20. What fraction is being represented below – shaded portions ( assume they are equal in size ) ? ____________
21.
Find ( leave fraction in proper or mixed form ).
This question is not valid for the spring 2005 semester
a) 1 - 4 1/3 = _________
b) 4 • 2 ½ = ___________
c)
d) 3/11 ÷ 12/33 = ___________
3 ½ • 4 1/3 = _________
e) - 2 ½ - ( - 3 ¼ ) = _________
f) 4 ½ - ( - 2 1/3 ) = _______
22. Reduce each fraction
24
= _____________
240
32
= _____________
60
23. Write an equivalent fraction to
5
=
12 48
3
21
=
100
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