Instructor’s Solutions Manual for Elementary and Intermediate Algebra for College Students, 5th Edition by Allen R. Angel & Dennis C. Runde | Complete Teaching Solutions | College Algebra Exam Prep 2026/2027

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, Elementary and Intermediate Algebra for College Students
Solutions Manual, 5th Edition
Allen R. Angel
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5TH EDITION
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TABLE OF CONTENTS

PART ONE - BASIC CONCEPTS
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Ch. 01 Real Numbers

Ch. 02 Solving Linear Equations and Inequalities
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Ch. 03 Formulas and Applications of Algebra

Ch. 04 Graphing Linear Equations

Ch. 05 Systems of Linear Equations and Inequalities
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PART TWO - POLYNOMIALS AND RATIONAL EXPRESSIONS

Ch. 06 Exponents and Polynomials

Ch. 07 Factoring
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Ch. 08 Rational Expressions and Equations

PART THREE - INTERMEDIATE ALGEBRA TOPICS
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Ch. 09 Roots and Radicals

Ch. 10 Quadratic Equations

Ch. 11 Functions and Their Graphs
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Ch. 12 Exponential and Logarithmic Functions

Ch. 13 Conic Sections

Ch. 14 Sequences, Series, and the Binomial Theorem
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, Chapter 1: Real Numbers ISM: Elementary and Intermediate Algebra


sum of grades 45. a. 13 – 8 = 5 more students
41. a. mean 
number of exams 13
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50  59  67  80  56  last b.  1.63 times greater
60  8
6
360  312  last c. 44 – 3 = 41 more students
last  360  312 44
d.  14.67 times greater
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 48 3
Lamond needs at least a 48 on the last exam.
46. 6(78) = 468
312  last
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b. 70  47. Answers will vary.
6 One possible solution is:
420  312  last 50, 60, 70, 80, 90
last  420  312 50  60  70  80  90
mean 
 108 5
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Lamond would need 108 points on the last 350

exam, so he cannot get a C. 5
42. a. To earn a B she would need to accumulate  70
5(80) = 400 points. 48. The mean will decrease because the new value is
minimum grade on the fifth exam less than the current mean.
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= 400 – the sum of the first four exams
= 400 – (95 + 88 + 82 + 85) 6(10) = 60
= 400 – 350 60  5
mean 
= 50 11
Heather needs to earn a minimum of 50 on the
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65
next exam. 
11
b. To earn an A she would need to accumulate  5.91
5(90) = 450 points.
minimum grade on the fifth exam 49. The mean is greater. The median is the middle
value of the five numbers, which is 5. The mean
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= 450 – the sum of the first four exams
= 450 – (95 + 88 + 82 + 85) is the average of the five numbers, which
= 450 – 350 includes one very high number (70) that will
= 100 greatly affect the mean.
Heather needs to earn a 100 on the next exam. 2  3  5  6  70
mean 
5
41, 496
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43. a.  1.18 times greater 86
35, 256 
5
59,124  17.2
b.  1.42 times greater
41, 496 50. a. The meter reading is 16,504.
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69, 732 b. electrical cost = ( number of kilowatt hour
c.  1.18 times greater used)(cost per kilowatt hour)
59,124
= (16,504 – 16,064)(0.243)
44. a. 44 – 4 = 40 more students = 440(0.243)
= 106.92
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44
b.  11 times greater Your electrical cost would be $106.92.
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c. 21 – 7 = 14 more students
Exercise Set 1.3
21 1. When two fractions are being added or
d.  3 times greater
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7 subtracted we rewrite them so that they both
have the same (common) denominator.
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Copyright © 2019 by Pearson Education, Inc.

, ISM: Elementary and Intermediate Algebra Chapter 1: Real Numbers


1 1 25. The greatest common factor of 24 and 28 is 4.
2. 5  is usually written as 5 , which is called a
3 3 24 24  4 6
 
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mixed number. 28 28  4 7
3. Letters that represent numbers are called 26. The greatest common factor of 24 and 42 is 6.
variables. 24 24  6 4
 
4. In the expression 2, 4, 6, 8, … the three dots, 42 42  6 7
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called an ellipsis, signify the sequence continues 27. The greatest common factor of 36 and 76 is 4.
indefinitely. 36 36  4 9
 
1 1 2 76 76  4 19
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5.  
3 2 3 28. The greatest common factor of 16 and 72 is 8.
6. Numbers or variables that are multiplied together 16 16  8 2
 
are called factors. 72 72  8 9
29. The greatest common factor of 18 and 42 is 6.
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3
7. In the fraction , 4 is called the denominator. 18 18  6 3
4  
42 42  6 7
8. 15 is the GCF of 30 and 75.
30. The greatest common factor of 60 and 105 is 15.
4 2 60 60  15 4
9. To perform the division  we rewrite it as  
7 3 105 105  15 7
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4 3
 . 31. 18 and 49 have no common factors other than 1.
7 2
Therefore, the fraction is already simplified.
3 7 32. 35 and 36 have no common factors other than 1.
10. 40 is the LCD of the fractions and .
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8 10 Therefore, the fraction is already simplified.
11. 2  3  3 33. The greatest common factor of 100 and 150 is
50.
12. 2  3  5
100 100  50 2
 
13. 2  2  3  5
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150 150  50 3
14. 2  2  2  2  5 34. The greatest common factor of 112 and 144 is
16.
15. 2  3  5  5
112 112  16 7
 
16. 2  2  3  3  5 144 144  16 9
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17. The greatest common factor of 18 and 30 is 6. 13 30  13 43
35. 2  
18. The greatest common factor of 21 and 33 is 3. 15 15 15
19. The greatest common factor of 60 and 80 is 20. 1 45  1 46
36. 15  
20. The greatest common factor of 45 and 63 is 9. 3 3 3
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21. The greatest common factor of 150 and 294 is 6. 2 21  2 23
37. 7  
3 3 3
22. The greatest common factor of 126 and 162 is
18. 3 56  3 59
38. 14  
4 4 4
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23. The greatest common factor of 4 and 14 is 2.
4 42 2 5 54  5 59
  39. 3  
14 14  2 7 18 18 18
24. The greatest common factor of 18 and 24 is 6. 2 18  2 20
40. 2  
18 18  6 3
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9 9 9
 
24 24  6 4
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Copyright © 2019 by Pearson Education, Inc.