Solution Manual for Elementary and Intermediate Algebra: Graphs and Models, 5th Edition

Name: Solution Manual for Elementary and Intermediate Algebra: Graphs and Models, 5th Edition
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Solution Manual for Elementary and Intermediate Algebra: Graphs and Models, 5th Edition is the ultimate guide for understanding and solving textbook problems.

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INSTRUCTOR’S
SOLUTIONS MANUAL
ELEMENTARY AND
INTERMEDIATE ALGEBRA
GRAPHS AND MODELS
FIFTH EDITION
Marvin L. Bittinger
Indiana University Purdue University Indianapolis
David J. Ellenbogen
Community College of Vermont
Barbara L. Johnson
Ivy Tech Community College of Indiana

CONTENTS
Chapter 1 Introduction to Algebraic Expressions ................................................................... 1
Chapter 2 Equations, Inequalities, and Problem Solving .................................................. 51
Chapter 3 Introduction to Graphing and Functions ........................................................... 157
Chapters 1–3 Cumulative Review ........................................................................................... 281
Chapter 4 Systems of Equations in Two Variables ........................................................... 289
Chapter 5 Polynomials ................................................................................................................... 377
Chapter 6 Polynomial Factorizations and Equations ........................................................ 465
Chapters 1–6 Cumulative Review ........................................................................................... 551
Chapter 7 Rational Expressions, Equations, and Functions .......................................... 559
Chapter 8 Inequalities ..................................................................................................................... 683
Chapter 9 More on Systems ......................................................................................................... 751
Chapters 1–9 Cumulative Review ........................................................................................... 829
Chapter 10 Exponents and Radical Functions ..................................................................... 837
Chapter 11 Quadratic Functions and Equations ................................................................. 921
Chapter 12 Exponential Functions and Logarithmic Functions ............................... 1015
Chapters 1–12 Cumulative Review ..................................................................................... 1109
Chapter 13 Conic Sections ........................................................................................................ 1119
Chapter 14 Sequences, Series, and the Binomial Theorem ........................................ 1179
Chapters 1–14 Cumulative Review ..................................................................................... 1223
Chapter R Elementary Algebra Review .............................................................................. 1233

Chapter 1
Introduction to Algebraic Expressions
Exercise Set 1.1
1. Expression
2. Equation
3. Equation
4. Expression
5. Equation
6. Equation
7. Expression
8. Equation
9. Equation
10. Expression
11. Expression
12. Expression
13. Substitute 9 for a and multiply.3 3 9 27a =  =
14. Substitute 7 for x and multiply.8 8 7 56x =  =
15. Substitute 2 for t and add.6 2 6 8t + = + =
16. Substitute 9 for r and subtract.13 13 9 4r− = − =
17. Substitute 2 for x, 14 for y. Add and then
divide the sum by 4.2 14 16 4
4 4 4
x y+ +
= = =
18. Substitute 15 for c, 20 for d, add and then
divide the sum by 7.15 20 35 5
7 7 7
c d+ +
= = =
19. Substitute 20 for m, 6 for n, subtract and then
divide the difference by 2.20 6
2 2
14 7
2
m n− −
=
= =
20. Substitute 23 for x, 5 for y, subtract and
divide the difference by 6.23 5 18 3
6 6 6
x y− −
= = =
21. Substitute 6 for m and 18 for q.9 9 6 54 3
18 18
m
q

= = =
22. Substitute 9 for z and 15 for y.5 5 9 45 3
15 15
z
y
×
= = =
23. Enter the expression in the graphing
calculator, replacing a with 136 and b with
13. We see that27 18 3438a b− = for136 and 13.a b= =
24. Enter the expression in the graphing
calculator, replacing x with 87 and y with 29.
We see that19 9 13 47,531xy x y− + = for87 and 29.x y= =

2 Chapter 1: Elementary and Intermediate Algebra: Graphs and Models
25.2
1
2
1
2
(6ft)(3 ft)
(6)(3 )(ft)(ft)
21ft , or 21 square feet
A bh=
=
=
=
26.1400
t v
=1400 mi 3.5hr
400 mph
= =
27.1
2
A bh= 2
1 (5cm)(6 cm)
2
1 (5)(6)(cm)(cm)
2
15cm , or 15 square centimeters
=
=
=
28. a.30 sec. By substitution,t =2 2 30 sec 60 sect = × =
b.35min. By substitution,t =2 2 35 min 70 mint = × =
c.1
22 hr. By substitution,t =1
22 2 2 hr 5 hrt = × =
29.A bh=2
(67 ft)(12 ft)
(67)(12)(ft)(ft)
804 ft , or 804 square feet
=
=
=
30.Average h
a
=8 0.364
22
= 
31. Let r represent Ron’s age. 5 more than Ron’s
age, or Ron’s age plus 5 can be expressed as5 , or 5r r+ +
32. Let s represent Luke’s speed. Times means
multiplication, so we have8s × , or 8s
33. Product is the result of multiplication, so we
have4, or 4a a
34. Let l represent Lou’s weight;7l + or7 l+
35. 9 less than c;9c −
36. 4 less than d;4d -
37. 6 increased by q; to increase is to add;6 , or 6q q+ +
38. 11 increased by z; to increase is to add;11 ,z+
or11z +
39. The difference of m and n;m n-
40. t subtracted from p;p t-
41. x less than y, or decrease y by x; y – x
42. Let a represent Lorrie’s age; a – 2
43. x divided by w (Note: x is the dividend, or
numerator, and w is the divisor, or
denominator);, orx
w x w
44. Let s and t represent the two numbers;
quotient is the result of division;, or s
ts t
45. Let l and h represent the box’s length and
height, respectively. We have the suml h+
or.h l+
46. Sum of d and f;, ord f f d+ +
47. Let p represent Panya’s speed and let w
represent the speed of the wind.2p w−
48. The product of 9 and twice m. Twice m is2 ,m
or2 .m We have9 2 , or 2 9m m 
49. Let y represent “some number”;1
4 412, or 12y
y − −
50. Let n represent the number;6 20n -
51. Let a and b represent the numbers;8( )a b-
52. One third of the sum is1
3 × sum; let x and y
represent the two numbers. We have1 1
3 3. sum ( )x y× = +

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