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Solutions Manual for Developmental Mathematics College Mathematics and Introductory Algebra 10th Edition by Marvin L. Bittinger

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Publié le
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Écrit en
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Solutions Manual for Developmental Mathematics College Mathematics and Introductory Algebra 10th Edition by Marvin L. Bittinger. 1: Whole Numbers 1.1 Standard Notation; Order 1.2 Addition and Subtraction 1.3 Multiplication and Division; Rounding and Estimating 1.4 Solving Equations Mid-Review 1.5 Applications and Problem Solving Translating for Success 1.6 Exponential Notation and Order of Operation 1.7 Factorizations 1.8 Divisibility 1.9 Least Common Multiples Summary and Review Test 2: Fraction Notation 2.1 Fraction Notation and Simplifying 2.2 Multiplication and Division 2.3 Addition and Subtraction; Order Mid-Review 2.4 Mixed Numerals 2.5 Applications and Problem Solving Translating for Success 2.6 Order of Operations and Estimation Summary and Review Test 3: Decimal Notation 3.1 Decimal Notation, Order, and Rounding 3.2 Addition and Subtraction 3.3 Multiplication 3.4 Division Mid-Review 3.5 Converting from Fraction Notation to Decimal Notation 3.6 Estimating 3.7 Applications and Problem Solving Translating for Success Summary and Review Test 4: Percent Notation 4.1 Ratio and Proportion 4.2 Percent Notation 4.3 Percent Notation and Fraction Notation 4.4 Solving Percent Problems Using Percent Equations 4.5 Solving Percent Problems Using Proportions Mid-Review 4.6 Applications of Percent Translating for Success 4.7 Sales Tax Commission, and Discount 4.8 Simple Interest and Compound Interest; Credit Cards Summary and Review Test 5: Data, Graphs, and Statistics 5.1 Interpreting Data from Tables and Graphs 5.2 Interpreting and Drawing Bar Graphs and Line Graphs 5.3 Descriptive Statistics Mid-Review 5.4 Frequency Distributions and Histograms 5.5 Probability Translating for Success Summary and Review Test 6: Geometry 6.1 Basic Geometric Figures 6.2 Perimeter 6.3 Area 6.4 Circles Mid-Review 6.5 Volume and Surface Area 6.6 Relationships Between Angle Measures 6.7 Congruent Triangles and Properties of Parallelograms 6.8 Similar Triangles Translating for Success Summary and Review Test 7: Introduction to Real Numbers and Algebraic Expressions 7.1 Introduction to Algebra 7.2 The Real Numbers 7.3 Addition of Real Numbers 7.4 Subtraction of Real Numbers Mid-Review 7.5 Multiplication of Real Numbers 7.6 Division of Real Numbers 7.7 Properties of Real Numbers 7.8 Simplifying Expressions; Order of Operations Summary and Review Test 8: Solving Equations and Inequalities 8.1 Solving Equations: The Addition Principle 8.2 Solving Equations: The Multiplication Principles 8.3 Using the Principles Together 8.4 Formulas Mid-Review 8.5 Applications of Percent 8.6 Applications and Problem Solving Translating for Success 8.7 Solving Inequalities 8.8 Applications and Problem Solving with Inequalities Summary and Review Test 9: Graphs of Linear Equations 9.1 Graphs and Applications of Linear Equations 9.2 More with Graphing and Intercepts Visualizing for Success 9.3 Slope and Applications 9.4 Equations of Lines Mid-Review 9.5 Graphing Using the Slope and the y-Intercept 9.6 Parallel Lines and Perpendicular Lines 9.7 Graphing Inequalities in Two Variables Visualizing for Success Summary and Review Test 10: Polynomials: Operations 10.1 Integers as Exponents 10.2 Exponents and Scientific Notation 10.3 Introduction to Polynomials 10.4 Addition and Subtraction of Polynomials Mid-Review 10.5 Multiplication of Polynomials 10.6 Special Products Visualizing for Success 10.7 Operations with Polynomials in Several Variables 10.8 Division of Polynomials Summary and Review Test 11: Polynomials: Factoring 11.1 Introduction to Factoring 11.2 Factoring Trinomials of the Type x 2 + bx + c 11.3 Factoring ax 2 + bx + c , a ≠ 1: The Foil Method 11.4 Factoring ax 2 + bx + c , a ≠ 1: The ac-Method Mid-Review 11.5 Factoring Trinomial Squares and Differences of Squares 11.6 Factoring: A General Strategy 11.7 Solving Quadratic Equations by Factoring 11.8 Applications of Quadratic Equations Translating for Success Summary and Review Test 12: Rational Expressions and Equations 12.1 Multiplying and Simplifying Rational Expressions 12.2 Division and Reciprocals 1.3 Least Common Multiples and Denominators 12.4 Adding Rational Expressions 12.5 Subtracting Rational Expressions Mid-Review 12.6 Complex Rational Expressions 12.7 Solving Rational Equations 12.8 Applications Using Rational Equations and Proportions Translating for Success 12.9 Direct Variation and Inverse Variation Summary and Review Test 13: Systems of Equations 13.1 Systems of Equations in Two Variables 13.2 The Substitution Method 13.3 The Elimination Method Mid-Review 13.4 Applications and Problem Solving 13.5 Applications with Motion Translating for Success Summary and Review Test 14: Radical Expressions and Equations 14.1 Introduction to Radical Expressions 14.2 Multiplying and Simplifying with Radical Expressions 14.3 Quotients Involving Radical Expressions Mid-Review 14.4 Addition, Subtraction, and More Multiplication 14.5 Radical Equations 14.6 Applications with Right Triangles Translating for Success Summary and Review Test 15: Quadratic Equations 15.1 Introduction to Quadratic Equations 15.2 Solving Quadratic Equations by Completing the Square 15.3 The Quadratic Formula Mid-Review 15.4 Formulas 15.5 Applications and Problem Solving Translating for Success 15.6 Graphs of Quadratic Equations Visualizing for Success 15.7 Functions Summary and Review Test Appendixes: A Linear Measures: American Units and Metric Units B Weight and Mass; Medical Applications C Capacity; Medical Applications D Time and Temperature E Sers F Factoring Sums or Differences of Cubes G Finding Equations of Lines: Point-Slope Equations H Equations Involving Absolute Value I The Distance Formula and Midpoints J Higher Roots; Rational Numbers as Exponents K Inequalities and Interval Notation L Nonlinear Inequalities M Systems of Linear Inequalities N The Complex Numbers Answers Guided Solutions Photo Credits Glossary

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Infos sur le Document

Publié le
24 octobre 2024
Nombre de pages
366
Écrit en
2024/2025
Type
Examen
Contenu
Questions et réponses

Sujets

Aperçu du contenu




INSTRUCTOR’S SOLUTIONS
MANUAL




M
E
DEVELOPMENTAL MATHEMATICS:




D
COLLEGE MATHEMATICS AND


C
INTRODUCTORY ALGEBRA
O
TENTH EDITION
N
N
O
S I
S




Marvin L. Bittinger
E




Indiana University Purdue University Indianapolis
U




Judith A. Beecher
R

, Contents
Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . 1




M
Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . . 29




E
Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . . 53

Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . . 73




D
Chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . . 101




C
Chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . . 115




O
Chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . . 133
N
Chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . . 149
N
Chapter 9 . . . . . . . . . . . . . . . . . . . . . . . . . . 175

Chapter 10 . . . . . . . . . . . . . . . . . . . . . . . . . . 209
O

Chapter 11 . . . . . . . . . . . . . . . . . . . . . . . . . . 231
S I


Chapter 12 . . . . . . . . . . . . . . . . . . . . . . . . . . 257
S



Chapter 13 . . . . . . . . . . . . . . . . . . . . . . . . . . 291

Chapter 14 . . . . . . . . . . . . . . . . . . . . . . . . . . 319
E




Chapter 15 . . . . . . . . . . . . . . . . . . . . . . . . . . 335
U
R




iii
Copyright © 2020 Pearson Education, Inc.

,Chapter 1
Whole Numbers
44. 200,017
Exercise Set 1.1 46. 2,793,000,000

RC2. In 615,702, the number 615 is in the thousands period. 48. 32 > 0




M
RC4. The number 721 is written in standard notation. 50. 28 > 18

CC2. A word name for 42,000,000 is forty-two million. 52. 77 < 117




E
CC4. A word name for 18,000,000,000 is eighteen billion. 54. 999 > 997




D
CC6. A word name for 40,000,000,000,000 is forty trillion. 56. 345 < 456

2. 5 ten thousands 58. 12 < 32




C
4. 5 hundred thousands 60. 1, 014, 023 > 758, 708, or 758, 708 < 1, 014, 023
62. 843, 393 > 842, 583, or 842, 583 < 843, 393




O
6. 9
8. 3 64. All digits are 9’s. Answers may vary. For an 8-digit read-
out, for example, it would be 99,999,999. This number has
10. 6 thousands + 6 hundreds + 8 tens + 8 ones
N three periods.
12. 1 thousand + 7 hundreds + 8 tens + 6 ones
N
14. 3 ten thousands + 8 thousands + 4 hundreds + 5 tens + Exercise Set 1.2
3 ones
O

RC2. In the subtraction 18 − 5 = 13, the number 5 is the
16. 1 hundred thousand + 3 ten thousands + 5 thousands + subtrahend.
0 hundreds + 8 tens + 0 ones, or 1 hundred thousand +
I


3 ten thousands + 5 thousands + 8 tens RC4. The distance around an object is its perimeter.
S


18. 1 billion + 2 hundred millions + 6 ten millions + 6 9 10
millions + 8 hundred thousands + 8 ten thousands + 3 CC2. ✥1✥
0 /0
S



thousands + 5 hundreds + 9 tens + 8 ones − 7
9 3
E




20. 3 hundred millions + 2 ten millions + 3 millions + 9 hun-
dred thousands + 9 ten thousands + 5 thousands + 5
10
hundreds + 2 tens + 8 ones CC4. / /
1 0 00
U




22. Forty-eight − 4 00
6 00
R




24. Forty-five thousand, nine hundred eighty-seven
9 9 10

26. One hundred eleven thousand, thirteen CC6. 1✥
✥ 0 0 /0
− 9 9 9
28. Forty-three billion, five hundred fifty million, six hundred
1
fifty-one thousand, eight hundred eight
2. 1521
30. Ninety-nine thousand, eight hundred fifty-three
+ 348
32. Two hundred twenty-six million, one thousand, two hun- 1869
dred eighty-eight 1
4. 73
34. 354,702 +69
36. 17,112 1 42
1
38. 19,610,439 6. 7 503
+ 2 683
40. 700,000,000
1 0, 1 8 6
42. 26,000,000,000

Copyright 
c 2020 Pearson Education, Inc.

, 2 Chapter 1: Whole Numbers

1
8. 3654 28. 526
+2700 −323
6354 203
1
18
10. 271 6 /
8 15
+3338 30. / /
7 9 5/
3609 −3 9 8
1 3 9 7
12. 280
10
+ 3 4, 9 0 2 2 /
0 16
3 5, 1 8 2 32. / /
3 1 6/




M
1 1 1 −2 4 7
14. 4 5, 8 7 9 6 9
+ 2 1, 7 8 6




E
17
6 7, 6 6 5 7 /
7 17
1 1 1 1 34. / /
8 8 7/




D
16. 9 9, 9 9 9 −6 9 8
+ 112 1 8 9
1 0 0, 1 1 1




C
3 12
1 1 1 1
18. 4 2, 4 8 7 36. 3/
4 2/




O
8 3, 1 4 1 −21 7
+3 6, 7 1 2 12 5
1 6 2, 3 4 0
N
38.
13 12
5 /
11
2 2 / /
6 4 3/ 1
/
20. 9 8 9 −2 8 9 6
N
5 6 6 3 5 3 5
8 3 4
O

9 2 0 12 15
7 /
14
+7 0 3 40. / /
8 3 6/ 4
/
4 0 1 2 −5 3 7 5
I


2 9 8 9
S


22. Perimeter = 14 mi + 13 mi + 8 mi + 10 mi + 47 mi +
22 mi 11 13
8 /
11
S



We carry out the addition.
42. / /
9 2 4/ 1
/
2 −5 6 4 3
14
E




3 5 9 8
13
6 15
8
7 /
/ 5 83
U




10 44. −3 6 41
47
3 9 42
+22
R




1 14 11 11
5 1 /
/ 1 12
The perimeter of the figure is 114 mi. 46. 1/6, /
2 2
/ 2/
24. 90 ft + 90 ft + 90 ft + 90 ft = Perimeter − 5, 8 8 8
1 0, 3 3 4
We carry out the addition.
11
9 0 2 /
1 11 8 14
9 0 48. //
3 2, 1
/ /
9 4
/
9 0 − 2 9, 2 3 6
+9 0 2 9 5 8
3 6 0
The batter travels 360 ft when a home run is hit. 8 10
50. 9 0
/ /
26. 87
−34 −7 8
53 1 2




Copyright 
c 2020 Pearson Education, Inc.
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