Answers to Chapter Test Forms
1
CHAPTER R, FORM D
COLLEGE ALGEBRA
NAME
DATE
1. Let
10 5
5, 17.8, 3.6, 0, , 49, 3 , , 8 .
23
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. Integers c. ____________
2. Evaluate the expression if
3x=-
,
4y=-
, and
1z=
: 2. ______________
( )
2
25
2
xz
xy
+
–
3. Identify the property illustrated. Let a, b and c
represent any real numbers.
a.
( ) ( )
a b c b c a+ = +
3. a. ____________
b.
2 1 2 1
7 5 7 5
bb
æ ö æ ö
÷÷
çç
=
÷÷
çç
÷÷
çç
è ø è ø
××
b. ____________
c.
11
1
44
=×
c. ____________
d.
( ) ( )
4 4 4a a a a
éù
+ – = + –
ëû
d. ____________
Perform the indicated operations.
4.
( )
2
2 3 2xy
éù
—
ëû
4. ______________
5.
( )( )
22
2 3 1 2x x x x– + + –
5. ______________
6.
( ) ( )
3 2 4 3 2
3 4 7 2 3 5x x x x x x– + – + – + +
6. ______________
7.
( ) ( )
2 4 2 4r s r s
é ùé ù
+ – + +
ë ûë û
7. ______________
8.
( )
3
2ab+
8. ______________
9.
4 3 2
2
2 2 11 6
3
y y y y
y
– – +
–
9. ______________
10.
2
22
2 3 10 15
3 7 4 3 4
x x x
x x x x
+ – +
¸
– + – –
10. ______________
11.
22
41
10 16 5 14
xx
x x x x
-+
–
– + + –
11. ______________
Answers to Chapter Test Forms
2
CHAPTER R, FORM D
12.
22
3 2 5
44
xx
xx
++
+
—
12. ______________
13.
13
2
4
x
x
x
–
+
–
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 2010?
(Round to the nearest whole number.)
Factor completely.
15.
2
18 27 4xx-+
15. ______________
16.
42
6 11 10xx+-
16. ______________
17.
4 3 3 4
8 2 16r rs r s s– – +
17. ______________
18.
33
8 64xy+
18. ______________
19. Evaluate
32
16
49
–
æö
÷
ç÷
ç÷
ç
èø
. 19. ______________
20. Simplify
6
3 2 4 3 5 6
2 3 5 4 1 4
x y z
x y z
–
–
æö
÷
ç÷
ç÷
ç÷
ç
èø
so that there are 20. ______________
no negative exponents. Assume that all variables
represent positive real numbers.
Simplify. Assume that all variables represent positive real numbers.
21.
14 18 5
84a b c
21. ______________
22.
44
55
768 48xx+
22. ______________
23.
( )( )
10 2 6 10 6+-
23. ______________
24. Rationalize the denominator of
11
3 27
–
and simplify. 24. ______________
CHAPTER R, FORM D
Answers to Chapter Test Forms
3
25. The length of one leg of a right triangle is 25. ______________
22
a c b=-
where c is the length of the hypotenuse and b is
the length of the other leg. Find the length of the
unknown leg if the length of the hypotenuse is
45 m and the length of the other leg is 28 m.
(Round to the nearest tenth.)
Answers to Chapter Test Forms
4
CHAPTER R, FORM D
