Solutions Manual – College Algebra, 9th Edition by Robert F. Blitzer

SOLUTIONS MANUAL




** All Chapters included
** Complete Exercises Solution

,Table of Contents are given below



P. Fundamental Concepts of Algebra

1. Equations and Inequalities

2. Functions and Graphs

3. Polynomial and Rational Functions

4. Exponential and Logarithmic Functions

5. Systems of Equations and Inequalities

6. Matrices and Determinants

7. Conic Sections

8. Sequences, Induction, and Probability

, Chapter P
Fundamental Concepts of Algebra
53
Section P.1 6. a. 1 2
Check Point Exercises Because 2  1.4, the number inside the
absolute value bars is negative. The absolute
1. 8  6( x  3)2  8  6(13  3) 2 value of x when x < 0 is –x. Thus,
 8  6(10) 2 
1 2   1 2  2 1 
 8  6(100)
 8  600 b.  3
 608 Because   3.14, the number inside the
absolute value bars is positive. The absolute
2. a. Since 2021 is 14 years after 2007, substitute 14 value of a positive number is the number itself.
for x. Thus,
T  28 x 2  667 x  8777   3    3.
 28(14) 2  667(14)  8777
 12, 627 x
c.
The average cost of tuition and fees at public x
U.S. colleges for the school year ending in Because x  0, x  x.
2021 was $12,627.
x x
Thus,  1
b. The formula underestimates the actual answer x x
by $203.
7. 4  (5)  9  9
3. The elements common to {3, 4, 5, 6, 7} and
{3, 7, 8, 9} are 3 and 7. The distance between –4 and 5 is 9.
{3, 4,5,6, 7}  {3,7,8,9}  {3,7}
8. 7(4 x 2  3x)  2(5 x 2  x)
4. The union is the set containing all the elements of  28 x 2  21x  10 x 2  2 x
either set.
{3, 4,5, 6, 7}  {3, 7,8, 9}  {3, 4,5, 6, 7,8,9}  38 x 2  23 x

9. 6  4[7  ( x  2)]
  
5.  9,  1.3, 0, 0.3, , 9, 10   6  4[9  x]
 2 
 6  36  4 x
a. Natural numbers: 9 because 9 3  42  4 x

b. Whole numbers: 0, 9
Concept and Vocabulary Check P.1

c. Integers: 9, 0, 9 C1. expression

d. Rational numbers: 9,  1.3, 0, 0.3, 9 C2. b to the nth power; base; exponent

C3. formula; modeling; models

e. Irrational numbers: , 10
2 C4. intersection; A  B

 C5. union; A  B
f. Real numbers: 9,  1.3, 0, 0.3, , 9, 10
2 C6. natural

C7. whole


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, Chapter P Fundamental Concepts of Algebra


C8. integers 12. 82  4  8  3  64  4  5   64  20  44
C9. rational
5( x  2) 5(10  2)
13. 
C10. irrational 2 x  14 2(10)  14
5(12)
C11. rational; irrational 
6
C12. absolute value; x, x  52
 10
C13. b  a ; ba
7( x  3) 7(9  3) 7(6)
C14. a  (b  c) ; ( ab )c 14.    7  3  21
2 x  16 2(9)  16 2
C15. ab  ac
2x  3y
15. ; x  2, y  4
C16. 0; inverse; 0; identity x 1
2  2   3  4  4  12 8
C17. inverse; 1; identity     8
2  1 1 1
C18. simplified
2x  y
16. ; x  2 and y  4
C19. a xy  2 x
2  2   4 4  4 0
  0
Exercise Set P.1  2  4   2  2  8  4 4

1. 7  5(10)  7  50  57 5 5
17. C (50  32)  (18)  10
9 9
2. 8  6  5   8  30  38 50°F is equivalent to 10°C.

3. 6(3)  8  18  8  10 5 5 5
18. C ( F  32)  (86  32)  (54)  30
9 9 9
4. 8  3  4  24  4  20 86°F is equivalent to 30°C.

19. h  4  60t  16t 2  4  60(2)  16(2)2
5. 82  3(8)  64  24  88
 4  120  16(4)  4  120  64
6. 62  5  6   36  30  66  124  64  60
Two seconds after it is kicked, the ball’s height is
60 feet.
7. 72  6(7)  3  49  42  3  7  3  10
20. h  4  60t  16t 2
8. 8  7  8   4  64  56  4  8  4  12
2
 4  60(3)  16(3) 2
 4  180  16(9)
9. 4  5(9  7)3  4  5(2)3
 4  180  144
 4  5(8)  4  40  44
 184  144  40
3 3 Three seconds after it is kicked, the ball’s height is
10. 6  5 8  6   6  5  2  40 feet.
 6  5 8
21. 1, 2,3, 4  2, 4, 5  2, 4
 6  40  46
22. 1,3, 7  2,3,8  3
11. 82  3(8  2)  64  3(6)
 64  18  46


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