Solution Manual for Intermediate Algebra for College Students, 7th Edition

Name: Solution Manual for Intermediate Algebra for College Students, 7th Edition
Brand: Academic Documents Platform
Price: 20 USD
Availability: InStock
Author: Mason Carter

Solution Manual for Intermediate Algebra for College Students, 7th Edition is the best resource for textbook solutions, helping you tackle even the hardest problems.

Mason Carter

Contributor

4.8

2 days ago

Preview (16 of 1133)

SOLUTIONS MANUAL
DANIEL S. MILLER
Niagara County Community College
I NTERMEDIATE A LGEBRA
FOR C OLLEGE S TUDENTS
S EVENTH EDITION
Robert Blitzer
Miami Dade College

TABLE OF CONTENTS for INSTRUCTOR SOLUTIONS
I NTERMEDIATE A LGEBRA FOR C OLLEGE S TUDENTS 7 E
Chapter 1: Algebra, Mathematical Models, and Problem Solving 1
Chapter 2: Functions and Linear Functions 67
Chapter 3: Systems of Linear Functions 131
Chapter 4: Inequalities and Problem Solving 251
Chapter 5: Polynomials, Polynomial Functions, and Factoring 331
Chapter 6: Rational Expressions, Functions, and Equations 423
Chapter 7: Radicals, Radical Functions, and Rational Exponents 587
Chapter 8: Quadratic Equations and Functions 677
Chapter 9: Exponential and Logarithmic Functions 839
Chapter 10: Conic Sections and Systems of Nonlinear Equations 943
Chapter 11: Sequences, Series, and the Binomial Theorem 1051

Chapter 1
Algebra, Mathematical Models, and Problem Solving
1
1.1 Check Points
1. a.

eight times a number five more
8 5 8 5x x  

b.

the quotient of a decreased bynumber and seven twice the number
2 2
7 7
x x
x x  

2.
replace with 10
23 0.12
23 0.12(10)
23 1.2
21.8
x
x
 
 


At age 10, the average neurotic level is 21.8.
3.
replace with 13
2
2
2
8 6( 3)
8 6(13 3)
8 6(10)
8 6(100)
8 600
608
x
x 
  
 
 
 


4. a. 2010 is 10 years after 2000.
replace with 10
2
2
46 541 17,650
46(10) 541(10) 17,650
46(100) 541(10) 17,650
4600 5410 17,650
27,660
x
D x x
D
  
  
  
  


The formula indicates that the mean student-loan
debt for college students who graduated in 2010
was $27,660.
b. The model value, $27,660, is more than the
actual data value, $26,682. Thus, the
mathematical model overestimates by $978.
5. a. true; Because the number 13 is an element of the
set of integers.
b. true; Because 6 is not an element of
{7, 8, 9, 10}, the statement is true.
6. a. 8 is less than 2; true
b. 7 is greater than 3; true
c. 1 is less than or equal to 4; false
d. 5 is greater than or equal to 5; true
e. 2 is greater than or equal to 14; true
7. a.  2 5x x  
b.  1 3.5x x 
c.  1x x  
1.1 Concept and Vocabulary Check
1. variable
2. expression
3. bth to the nth power; base; exponent
4. formula; modeling; models
5. natural
6. whole
7. integers
8. rational
9. irrational
10. rational; irrational
11. left
12. 2; 5; 2; 5
13. greater than
14. less than or equal to

Chapter 1 Algebra, Mathematical Models, and Problem Solving
2
1.1 Exercise Set
1. 5x 
2. 6x 
3. 4x 
4. 9x 
5. 4x
6. 2x
7. 2 10x 
8. 5 4x 
9. 1
6 2 x
10. 1
3 2 x
11. 4 2
x 
12. 5 3
x 
13. 3
5 x
14. 6
10 x
15. 7 5(10) 7 50 57   
16.  8 6 5 8 30 38   
17. 6(3) 8 18 8 10   
18.  8 3 4 24 4 20   
19.    
21 1 1 1
3 3 9 9
3 1 1   
20.    
21 1 1 1
2 2 4 4
2 1 1   
21. 2
7 6(7) 3 49 42 3 7 3 10       
22.  2
8 7 8 4 64 56 4 8 4 12       
23. 3 3
4 5(9 7) 4 5(2)
4 5(8) 4 40 44
   
    
24.    
 
3 3
6 5 8 6 6 5 2
6 5 8
6 40 46
   
 
  
25. 2
8 3(8 2) 64 3(6)
64 18 46
   
  
26.    2
8 4 8 3 64 4 5 64 20 44      
27. {1, 2, 3, 4}
28. {1, 2, 3}
29. {–7, –6, –5, –4}
30. {–6, –5, –4, –3}
31. {8, 9, 10, . . .}
32. {10, 11, 12, . . .}
33. {1, 3, 5, 7, 9}
34. {1, 3, 5, 7}
35. true; Seven is an integer.
36. true; Nine is an integer.
37. true; Seven is a rational number.
38. true; Nine is a rational number.
39. false; Seven is a rational number.
40. false; Nine is not an irrational number.
41. true; Three is not an irrational number.
42. true; Five is not an irrational number.
43. false; 1
2 is a rational number.
44. false; 1
4 is a rational number.
45. true; 2 is not a rational number.
46. true;
π is not a rational number.
47. false; 2 is a real number.

Section 1.1 Algebraic Expressions, Real Numbers, and Interval Notation
3
48. false;
π is a real number.
49. –6 is less than –2; true
50. –7 is less than –3; true
51. 5 is greater than –7; true
52. 3 is greater than –8; true
53. 0 is less than –4; false. 0 is greater than –4.
54. 0 is less than –5; false. 0 is greater than –5.
55. –4 is less than or equal to 1; true
56. –5 is less than or equal to 1; true
57. –2 is less than or equal to –6; false. –2 is greater
than –6.
58. –3 is less than or equal to –7; false. –3 is greater
than –7.
59. –2 is less than or equal to –2; true
60. –3 is less than or equal to –3; true
61. –2 is greater than or equal to –2; true
62. –3 is greater than or equal to –3; true
63. 2 is less than or equal to 1
2
 ; false. 2 is greater
than 1
2
 .
64. 4 is less than or equal to 1
2
 ; false. 4 is greater
than 1
2
 .
65.  1 6x x 
66.  2 4x x  
67.  5 2x x  
68.  4 3x x  
69.  3 1x x  
70.  2 5x x  
71.  2x x 
72.  3x x 
73.  3x x  
74.  5x x  
75.  3x x 
76.  2x x 
77.  5.5x x 
78.  3.5x x 
79. true
80. true
81. false;    3 1, 2,3, 4 .
82. false;    4 1, 2, 3, 4,5 .

Loading page 6...

Chapter 1 Algebra, Mathematical Models, and Problem Solving
4
83. true
84. true
85. false; The value of {x | x is an integer between 3
and 0} = { 2, 1}  , not { 3, 2, 1,0}   .
86. false; The value of {x | x is an integer between 4
and 0} = { 3, 2, 1}   , not { 4, 3, 2, 1, 0}    .
87. false; Twice the sum of a number and three is
represented by  2 3x  , not 2 3x  .
88. false; Three times the sum of a number and five is
represented by  3 5x  , not 3 5x  .
89. 4.6 0.02
4.6 0.02(20)
4.2
R x 
 

The average resistance to happiness at age 20 is 4.2.
90. 4.6 0.02
4.6 0.02(30)
4.0
R x 
 

The average resistance to happiness at age 30 is 4.0.
91. [4.6 0.02(30)] [4.6 0.02(50)]
4.0 3.6
0.4
  
 

The difference between the average resistance to
happiness at age 30 and at age 50 is 0.4.
92. [4.6 0.02(20)] [4.6 0.02(70)]
4.2 3.2
1.0
  
 

The difference between the average resistance to
happiness at age 20 and at age 70 is 0.4.
93.
   
2
2
32 8.7 0.3
32 8.7 4 0.3 4
32 34.8 4.8
62
S x x  
  
  

According to the formula, 67% of American adults
used smartphones to go online in 2013. The formula
underestimated the actual value by 1%.
94.
   
2
2
32 8.7 0.3
32 8.7 3

Loading page 7...

Loading page 8...

Chapter 1 Algebra, Mathematical Models, and Problem Solving
6
8.
3
4 3( 2)
2 (6 9)
4 3( 8)
2 ( 3)
4 24
2 3
20
5
4
 
 
 
  

 


 
9. Commutative Property of Addition: 4 9 9 4x x  
Commutative Property of Multiplication:
4 9 4 9x x   
10. a. 6 (12 ) (6 12) 18x x x      
b. 7(4 ) ( 7 4) 28x x x     
11. 4(7 2) 28 8x x    
12. 2 2
2 2
2
2
3 14 11
(14 ) (3 11 )
(14 1) (3 11)
15 14
x x x x
x x x

Loading page 9...

Loading page 10...

Loading page 11...

Loading page 12...

Loading page 13...

Loading page 14...

Loading page 15...

Section 1.3 Graphing Equations
13
1.3 Check Points
1.
2. Make a table:
2
2
2
2
2
2
2
2
1 ( , )
3 1 ( 3) 8 ( 3, 8)
2 1 ( 2) 3 ( 2, 3)
1 1 ( 1) 0 ( 1, 0)
0 1 (0) 1 (0,1)
1 1 (1) 0 (1, 0)
2 1 (2) 3 (2, 3)
3 1 (3) 8 (3, 8)
x y x x y
y
y
y
y
y
y
y
= −
− = − − = − − −
− = − − = − − −
− = − − = −
= − =
= − =
= − = − −
= − = − −
3. Make a table:
1 ( , )
4 4 1 3 3 ( 4,3)
3 3 1 2 2 ( 3, 2)
2 2 1 1 1 ( 2,1)
1 1 1 0 0 ( 1,0)
0 0 1 1 1 (0,1)
1 1 1 2 2 (1, 2)
2 2 1 3 3 (2,3)
x y x x y
y
y
y
y
y
y
y
 
       
       
       
     

Loading page 16...

15 more pages available. Scroll down to load them.

Preview Mode

100%

Study Now!

XY-Copilot AI

Unlimited Access

Secure Payment

Instant Access

24/7 Support

Document Chat

Document Details

Subject

Mathematics

Solution Manual for Intermediate Algebra for College Students, 7th Edition

Study Now!

Document Details

Related Documents

Solution Manual For Intermediate Algebra For College Students, 6th Edition

Test Bank for Algebra for College Students, 8th Edition

Solution Manual for Algebra for College Students, 8th Edition

Advanced Topics in Probability and Stochastic Processes

Mathematical Problem Sets for Everyday Scenarios

Quiz on Linear Programming: Concepts, Constraints, and Objective Functions

Quiz 4: Quantitative Methods: Linear Programming and Optimization Problems

Solving Rate Problems: Boat Speed, Wind Speed, and Tank Filling

Advanced Calculus and Function Analysis: Derivatives, Limits, and Continuity

Mathematics of Sequences and Financial Growth: Arithmetic and Geometric Applications

Company

Explore

Study Tools