College Algebra
( Solution Manual)
College Algebra, 8th Edition Robert F. Blitzer Solution Manual
Edition:8th Edition
Author Name:Robert F. Blitzer
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Chapter P
Fundamental Concepts of Algebra
Copyright Ā© 2022 Pearson Education, Inc 1
Section P.1
Check Point Exercises
1. 2 2 8 6( 3) 8 6(13 3) + ā =+ ā x
2 8 6(10)
8 6(100)
8 600
608
= +
= +
= +
=
2. a. Since 2016 is 16 years after 2000, substitute 16
for x. 2
2
361 3193
(16) 361(16) 3193
8713
Tx x =ā + +
=ā + +
=
The average cost of tuition and fees at public
U.S. colleges for the school year ending in
2016 was $8713.
b. The formula underestimates the actual answer
by $65.
3. The elements common to {3, 4, 5, 6, 7} and
{3, 7, 8, 9} are 3 and 7.
{3,4,5,6,7} {3,7,8,9} {3,7} ā© =
4. The union is the set containing all the elements of
either set.
{3,4,5,6,7} {3,7,8,9} {3, 4,5,6,7,8,9} āŖ =
5. 9, 1.3, 0, 0.3, , 9, 10 2
ļ¬ ļ¼ Ļ ļ ļ½ ā ā ļ® ļ¾
a. Natural numbers: 9 because 9 3 =
b. Whole numbers: 0, 9
c. Integers: ā9, 0, 9
d. Rational numbers: ā ā 9, 1.3, 0, 0.3, 9
e. Irrational numbers: , 10
2
Ļ
f. Real numbers: 9, 1.3, 0, 0.3, , 9, 10 2
Ļ ā ā
6. a. 1 2 ā
Because 2 1.4, ā the number inside the
absolute value bars is negative. The absolute
value of x when x < 0 is āx. Thus,
1 2 1 2 21 ā =ā ā = ā ( )
b. Ļ ā3
Because Ļ ā 3.14, the number inside the
absolute value bars is positive. The absolute
value of a positive number is the number itself.
Thus,
Ļ Ļ ā=ā 3 3.
c.
x
x
Because x > = 0, . x x
Thus, 1
x x
x x = =
7. ā ā =ā = 4 (5) 9 9
The distance between ā4 and 5 is 9.
8. 2 2 7(4 3 ) 2(5 ) x ++ + x xx
2 2
2 2
2
7(4 3 ) 2(5 )
28 21 10 2
38 23
x x xx
x xxx
x x
= ++ +
= ++ +
= +
9. 6 4[7 ( 2)] + āāx
6 4[7 2)]
6 4[9 ]
6 36 4
42 4
x
x
x
x
=+ ā+
=+ ā
=+ ā
= ā
Concept and Vocabulary Check P.1
C1. expression
C2. b to the nth power; base; exponent
C3. formula; modeling; models
C4. intersection; Aā© B
C5. union; AāŖ
Dominic (verified owner) –
finally, I can get A+
Dominic –
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finally, I can get A+
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