Student Solutions Manual for Intermediate Algebra: Algebra Within Reach, 6th Edition by Ron Larson

SOLUTION MANUAL
All Chapters Included


SOLUTIONS MANUAL FOR LARSONS INTERMEDIATE ALGEBRA- ALGEBRA WITHIN REACH 6TH EDITION

, CONTENTS
Chapter 1 Fundamentals of Algebra.............................................................. 1

Chapter 2 Linear Equations and Inequalities.............................................17

Chapter 3 Graphs and Functions................................................................. 54

Chapter 4 Systems of Equations and Inequalities.................................... 90

Chapter 5 Polynomials and Factoring....................................................... 145

Chapter 6 Rational Expressions, Equations, and Functions.................. 171

Chapter 7 Radicals and Complex Numbers............................................. 208

Chapter 8 Quadratic Equations, Functions, and Inequalities............... 243

Chapter 9 Exponential and Logarithmic Functions............................... 286

Chapter 10 Conics.......................................................................................... 318

Chapter 11 Sequences, Series, and the Binomial Theorem.................... 350




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, C H A P T E R 1
Fundamentals of Algebra

Section 1.1 The Real Number System............................................................. 2

Section 1.2 Operations with Real Numbers................................................... 3

Section 1.3 Properties of Real Numb ers........................................................ 6

Mid-Chapter Quiz................................................................................................. 8

Section 1.4 Algebraic Expressions.................................................................. 9

Section 1.5 Constructing Algebraic Expressions......................................... 12

Review Exercises............................................................................................... 14

Chapter Test........................................................................................................ 15

, C H A P T E R 1
Fundamentals of Algebra
Section 1.1 The Real Number System
1. 6,  6,  4 , 0, 5, 1, 
2, 2,  , 6 13. 5
8
 1
2
because 5
8
is to the right of 1
2
on the real number
3 8
line.
(a) Natural numbers: 1, 2, 6
15.  2   10 because  2 is to the right of  10 on the real
(b) Integers: 6, 0, 1, 2, 6 3 3 3 3
number line.
(c) Rational numbers: 6, 34 , 0, 8, 1, 2, 6
5

17. Distance  10  4  6
(d) Irrational numbers:   6, 
2, 
19. Distance  7  12  7  12  19
3. 4.2, 4,  1 , 0, 3
, 11, 5.5, 5.543
9 11 21. Distance  18  32  18  32  50
(a) Natural numbers:  4 23. Distance  0  8  0  8  8

(b) Integers:  4, 0
25. Distance  35  0  35
(c) Rational numbers: 4.2, 4,  1 , 0, 3
, 5.5, 5.543
9 11
27. Distance  6  9  6  9  3
(d) Irrational numbers:  11
29. 10  10
5. (a) The point representing the real number 3 lies
between 2 and 4. 31. 225  225
3
0 1 2 3 4 33.   34   34
(b) The point representing the real number 5
2
lies
35. 6  2 because 6  6 and 2  2, and 6 is
between 2 and 3.
greater than 2.
5
2
37. 47  27 because 47  47 and 27  27, and 47
0 1 2 3 4
is greater than 27.
(c) The point representing the real number  72 lies
39. Label: The weight on the elevator  x
between 4 and 3.
7
Inequality: x  2500

2

4 3 2 1 0 41. Label: Contestant’s weight  x

(d) The point representing the real number 5.2 lies Inequality: x  200
between 6 and 5, but closer to 5. 43. Label: Person’s height  x
 5.2
Inequality: x  52
6 5 4 3 2 1 0

45. Label: Balance of checking account  x
7. 4
 1 because 4
is to the left of 1 on the real number
5 5 Inequality: 200  x  700
line.
47. The number line shows  2.5  2 because  2.5 is to the
9. 5  2 because 5 is to the left of 2 on the real number
left of  2.
line.

11. 5  2 because 5 is to the left of 2 on the real 49. The fractions are converted to decimals and plotted on a
number line. number line to determine the order.


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