Answers To Chapter Test Forms 1
CHAPTER R, FORM B
COLLEGE ALGEBRA
NAME
DATE
1. Let
2 12
17, , 0, , , 3, 4.2, 25
53
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. Integers b. ____________
c. Irrational numbers c. ____________
2. Evaluate the expression if
1x=
,
2y=-
, and
3z=
: 2. ______________
2
4 2 3
2
xy
yz
-+
–
3. Identify the property illustrated. Let a, b, and c represent
any real numbers.
a.
3. a. ____________
b.
( ) ( )
a b c c a b+ = +
b. ____________
c.
2 0 2aa+=
c. ____________
d.
34 1
43
=×
d. ____________
Perform the indicated operations.
4.
( )
2
31xy
éù
—
ëû
4. ______________
5.
( )( )
22
22x y x y+-
5. ______________
6.
22
( 1) ( 2) (2 2)x x x x x x– – + – –
6. ______________
7.
( ) ( )
33x y x y
é ùé ù
– + – –
ë ûë û
7. ______________
8.
( )
3
23xy–
8. ______________
9.
4 3 2
6 7 5 11
32
x x x x
x
– + –
–
9. ______________
10.
22
22
3 7 2
23
x x x x
x x x x
+ + –
++
×
10. ____________
11.
22
21
25 5
xx
x x x
+
–
-+
11. ____________
Answers To Chapter Test Forms 2
CHAPTER R, FORM B
12.
9 21
3 7 7 3
x
xx
+
—
12. ____________
13.
2
21
3
21
x
xx
x
xx
–
+-
+
+-
13. ____________
14. During the years from 1975 to 2011, the rate of new 14. ______________
lung cancer cases per 100,000 males in the year t
(where t = 0 corresponds to 1975) can be
approximated by the polynomial
32
0.0029 0.21 3.12 84.17.t t t– + +
According to this model, what was the rate of new
lung cancer cases per 100,000 males in 2000?
(Round to the nearest whole number.)
Factor completely.
15.
2
8 53 21xx—
15. ____________
16.
32
3 3 27 27x x x+ – –
16. ____________
17.
3 3 3 3
16 16x y x y y y– – +
17. ____________
18.
32
12 3ab abc–
18. ____________
19. Evaluate
23
27
64
–
æö
÷
ç–÷
ç÷
ç
èø
. 19. ____________
20. Simplify
10
2 3 3 4 1 5
1/2 1/4
a b c
ab
—
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.
16 7 10
75x y z
21. ____________
22.
2 24 5 54 8 6x x x-+
22. ____________
23.
( )( )
33
3 4 25 2 3 5+-
23. ____________
24. Rationalize the denominator of
33
11
2 16
+
and simplify. 24. ____________
Answers To Chapter Test Forms 3
CHAPTER R, FORM B
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 325 ft and p is 102 ft. (Round to the nearest
tenth.)
Answers To Chapter Test Forms 4
CHAPTER R, FORM B