Answers to Chapter Test Forms 191
CHAPTER R, FORM A
COLLEGE ALGEBRA
NAME
DATE
1. Let
54 16
9.6, , 6 , 0, 13, 2.15, , 49 .
75
A
ìü
ïï
ïï
=-
íý
ïï
ïï
îþ
List the elements of A that belong to the given set.
a. Natural numbers 1. a. ____________
b. Rational numbers b. ____________
c. Irrational numbers c. ____________
2. Evaluate the expression if
2x=-
,
4y=-
, and
1z=
: 2. ______________
( )
2
2
2
3
yx
yz
–
–
3. Identify the property illustrated. Let a, b, and c represent any
real numbers.
a.
3. a. ____________
b.
( )
0a b b a
éù
+ + – = +
ëû
b. ____________
c.
1 2 3 1 2 3
2 3 4 2 3 4
æ ö æ ö
÷÷
çç
=
÷÷
çç
÷÷
çç
è ø è ø
× × × ×
c. ____________
d.
11
( 3) ( 3)
22
pp+ = + ×
d. ____________
Perform the indicated operations.
4.
( )
2
32ab
éù
+-
ëû
4. ______________
5.
( ) ( )
( )
2 3 2
3 2 5 2 7 2 3x x x x x x– – – + – + –
5. ______________
6.
( )
( )
22 2 3x x x– + –
6. ______________
7.
( ) ( )
77x y x y
é ùé ù
– – – +
ë ûë û
7. ______________
8.
( )
3
25x+
8. ______________
9.
4 3 2
2
3 5 14 10
2
y y y y
y
– – +
–
9. ______________
10.
2
22
91
3
xx
x x x x
—
—
×
10. ______________
11.
2
3 3 1
44
16
x x x
xx x
+
—
-+–
11. ______________
Answers to Chapter Test Forms 192
CHAPTER R, FORM A
12.
3 4 4 9
7 5 5 7
a b a b
a b b a
+-
–
—
12. ______________
13.
11 11
xy
xy
+
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 2006?
(Round to the nearest whole number.)
Factor completely.
15.
3 2 3 2
4 8 32x y x y– + –
15. ______________
16.
33
8 64ab+
16. ______________
17.
4 3 2
6 11 35x x x—
17. ______________
18.
2
28 4 9xx+-
18. ______________
19. Evaluate
23
125
27
–
æö
÷
ç÷
ç÷
ç
èø
. 19. ______________
20. Simplify
6
2 3 3 4 1 2
1 4 1 6
x y z
xz
–
–
—
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 3 4
38x y z
21. ______________
22.
3
112 4 175x x x+
22. ______________
23.
( )( )
33
3 4 2 5 4+-
23. ______________
24. Rationalize the denominator of
12
5 2 7–
and simplify. 24. ______________
Answers to Chapter Test Forms 193
CHAPTER R, FORM A
25. The wind chill factor w is given by the equation 25. ______________
0.16 0.16
35.74 0.6215 35.75 0.4275w T V TV= + – +
where T represents the temperature in degrees Fahrenheit
and V represents the wind velocity. Find the wind chill factor
when the temperature is –40°F and the wind velocity is
15 mph. (Round to the nearest tenth.)
Answers to Chapter Test Forms 194
CHAPTER R, FORM A
1