CHAPTER R, FORM C
COLLEGE ALGEBRA
NAME
DATE
1. Let
70 1
, , 2 , 0, 64, 19, 1.23, 4, 2.76 .
10 8
A
ìü
ïï
ïï
= – – –
íý
ïï
ïï
îþ
List the elements of A that belong to the given set.
a. Rational numbers 1. a. ____________
b. Real numbers b. ____________
c. Whole numbers c. ____________
2. Evaluate the expression if
2x=-
,
1y=-
, and
3z=
: 2. ______________
( )
23
2
xy
x y z
-+
+
3. Identify the property illustrated. Let a, b, and c represent
any real numbers.
a.
( ) ( )
11
33
a b b a+ = +
3. a. ____________
b.
b. ____________
c.
( )
9 9 9a b a b+ = +
c. ____________
d.
( ) ( )
2 9 2 9aa=×
d. ____________
Perform the indicated operations.
4.
( )
2
42xy
éù
-+
ëû
4. ______________
5.
3 2 3
3( ) 2( ) 3( 2 )x x x x x x– – + + + –
5. ______________
6.
22
(3 2 )(2 3 4 )x y x xy y+ – +
6. ______________
7.
( ) ( )
5 2 5 2a b a b
é ùé ù
+ – + +
ë ûë û
7. ______________
8.
( )
3
43bc–
8. ______________
9.
5 3 2
3
2 3 9
2
x x x
x
– – +
–
9. ______________
10.
22
2
6 5 6 2 3
2
4
x x x
x
x
– – –
¸+
–
10. ______________
11.
22
2
20 25
5
16
x x x
x
x
+ – –
×–
–
11. ______________
CHAPTER R, FORM C
12.
3 4 10
7 5 5 7
a b a b
a b b a
+-
+
—
12. ______________
13.
2
21
41
x
x
–
–
13. ______________
14. During the years from 1975 to 2011, the rate of new 14. ______________
lung cancer cases per 100,000 females in the year t
(where t = 0 corresponds to 1975) can be
approximated by the polynomial
32
0.00067 0.011 1.87 23.67.t t t– – + +
According to this model, what was the rate of new
lung cancer cases per 100,000 females in 2008?
(Round to the nearest whole number.)
Factor completely.
15.
22
10 19 6x xy y-+
15. ______________
16.
416x–
16. ______________
17.
3 2 2 3
2 4 8a a b ab b+ – –
17. ______________
18.
4 2 2
2 18x x y–
18. ______________
19. Evaluate
43
27
64
–
æö
÷
ç÷
ç÷
ç
èø
. 19. ______________
20. Simplify
12
3 8 1 6
5 4 2 3 3 4
ab
a b c
–
—
—
æö
÷
ç÷
ç÷
ç÷
ç
èø
so that there are no 20. ______________
negative exponents. Assume that all variables
represent positive real numbers.
Simplify. Assume that all variables represent positive real numbers.
21.
5 13
80ab
21. ______________
22.
44
33
3
16 2 54xy y xy xy+-
22. ______________
23.
( )( )
3 2 3 2x y x y+-
23. ______________
24. Rationalize the denominator of
12
37+
and simplify. 24. ______________
CHAPTER R, FORM C
25. Police sometimes use the following procedure to 25. ______________
estimate the speed at which a car was traveling at
the time of an accident: A police officer drives a
car that is the same type as the one involved in the
accident under conditions similar to those during
which the accident took place and then skids to a
stop. If the car is driven at 30 mph, then the speed
at the time of the accident is given by
30 ,
a
sp
=
where a is the length of the skid marks left at the
time of the accident and p is the length of the skid
marks in the police test. Find s, the speed, when
a is 375 ft and p is 185 ft. (Round to the nearest
tenth).
CHAPTER R, FORM C