# Discovering Mathematics: A Quantitative Reasoning Approach 1st edition

Richard N. Aufmann
Publisher: Cengage Learning

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## Textbook Resources

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• Aufmann: Discovering Mathematics
• Responsive Labs

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• Chapter 1: Introduction to Problem Solving
• 1.1: Inductive and Deductive Reasoning (36)
• 1.2: Estimation and Graphs (26)
• 1.3: Problem-Solving Strategies (33)
• 1.4: Introduction to Fair Division (27)
• 1: Prep Test (19)
• 1: Chapter Review (18)
• 1: Projects (2)
• 1: Responsive Lab: Fair Division (1)

• Chapter 2: Sets and Logic
• 2.1: Sets, Set Operations, and Applications (51)
• 2.2: Categorical Logic (29)
• 2.3: Propositional Logic (56)
• 2.4: Investigating Fallacies (40)
• 2: Prep Test (10)
• 2: Chapter Review (38)
• 2: Projects (1)
• 2: Responsive Lab: Venn Diagrams (1)

• Chapter 3: Proportions and Variation
• 3.1: Ratio and Rates (35)
• 3.2: Measurement (36)
• 3.3: Proportions (23)
• 3.4: Percent (38)
• 3.5: Variation (29)
• 3: Prep Test (15)
• 3: Chapter Review (17)
• 3: Projects (1)
• 3: Responsive Lab: Scaling a Recipe (1)

• Chapter 4: Managing Your Finances
• 4.1: Simple Interest (29)
• 4.2: Compound Interest (29)
• 4.3: Future and Present Value of an Annuity (27)
• 4.4: Credit Cards (19)
• 4.5: Student Loans (21)
• 4.6: Financial Considerations of Car Ownership (34)
• 4.7: Financial Considerations of Home Ownership (26)
• 4.8: Stocks, Bonds, and Mutual Funds (28)
• 4: Prep Test (10)
• 4: Chapter Review (27)
• 4: Projects
• 4: Responsive Labs: Financing a Car and Credit Cards (2)

• Chapter 5: Linear Functions
• 5.1: Introduction to Functions (32)
• 5.2: Properties of Linear Functions (31)
• 5.3: Linear Models (22)
• 5.4: Linear Regression and Correlation (14)
• 5: Prep Test (15)
• 5: Chapter Review (18)
• 5: Projects (1)

• Chapter 6: Nonlinear Functions
• 6.1: Exponential Functions (31)
• 6.2: Logarithmic Functions (29)
• 6: Prep Test (15)
• 6: Chapter Review (16)
• 6: Projects (1)
• 6: Responsive Lab: Population Growth (1)

• Chapter 7: Introduction to Probability
• 7.1: The Counting Principle (28)
• 7.2: Permutations and Combinations (50)
• 7.3: Probability and Odds (50)
• 7.4: Addition and Complement Rules (33)
• 7.5: Conditional Probability (42)
• 7.6: Expectation (18)
• 7: Prep Test (12)
• 7: Chapter Review (31)
• 7: Projects (2)
• 7: Responsive Lab: License Plates (1)

• Chapter 8: Introduction to Statistics
• 8.1: Measures of Central Tendency (23)
• 8.2: Measures of Dispersion (22)
• 8.3: Measures of Relative Position (33)
• 8.4: Normal Distributions (29)
• 8: Prep Test (10)
• 8: Chapter Review (10)
• 8: Projects (2)
• 8: Responsive Lab: Approximately Normal Distributions (1)

• Chapter 9: Voting and Apportionment
• 9.1: Introduction to Apportionment (23)
• 9.2: Introduction to Voting (26)
• 9.3: Weighted Voting Systems (22)
• 9: Prep Test (10)
• 9: Chapter Review (16)
• 9: Projects (2)
• 9: Responsive Lab: Arrow's Impossibility Theorem (1)

• Chapter 10: Circuits and Networks
• 10.1: Graphs and Euler Circuits (27)
• 10.2: Weighted Graphs (28)
• 10.3: Planarity and Euler's Formula (18)
• 10.4: Graph Coloring (17)
• 10: Prep Test (10)
• 10: Chapter Review (18)
• 10: Projects (1)
• 10: Responsive Lab: Complete Graph Algorithms (1)

• Chapter 11: Geometry
• 11.1: Measurement (29)
• 11.2: Basic Concepts of Euclidean Geometry (32)
• 11.3: Perimeter and Area of Plane Figures (37)
• 11.4: Volume and Surface Area (38)
• 11.5: Properties of Triangles (29)
• 11.6: Right Triangle Trigonometry (30)
• 11.7: Non-Euclidean Geometry (21)
• 11.8: Fractals (27)
• 11: Prep Test (12)
• 11: Chapter Review (27)
• 11: Projects (1)
• 11: Responsive Lab: Regular Polygons (1)

• Chapter A: Appendices
• A.A: A Review of Integers, Rational Numbers, and Percents
• A.B: Variable Expressions and Equations
• A.C: Review of the Rectangular Coordinates and Graphing

Aufmann's Discovering Mathematics: A Quantitative Reasoning Approach with WebAssign is designed for today's Quantitative Reasoning course. By focusing on topics relevant to students and helping them develop critical-thinking skills they can apply beyond the course, this solution provides students with exactly what they need, in an approachable, engaging, and streamlined format. Customizable for use in all teaching models—from lecture, hybrid, or fully online to flipped and active learning environments—Discovering Mathematics: A Quantitative Reasoning Approach will empower you to accomplish all your course objectives.

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• Prerequisite Material: Assignable Coursepacks provide a refresher of basic algebra concepts, allowing students to confidently approach more concrete and applications-based quantitative reasoning topics.
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• Expanded Problem (EP) questions are expanded versions of existing questions that include intermediary steps to guide the student to the final answer.
• Master It Tutorials (MI) show how to solve a similar problem in multiple steps by providing direction along with derivation so students understand the concepts and reasoning behind the problem solving.
• Multi-step project labs (Lab) provide an authentic and personalized application problem that gives learners the skills to think about and use the mathematics they are learning in various ways outside the classroom.

## Questions Available within WebAssign

Most questions from this textbook are available in WebAssign. The online questions are identical to the textbook questions except for minor wording changes necessary for Web use. Whenever possible, variables, numbers, or words have been randomized so that each student receives a unique version of the question. This list is updated nightly.

##### Question Availability Color Key
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Group Quantity Questions
Chapter 1: Introduction to Problem Solving
1.Lab 1 001
1.PJT 2 001 002
1.PT 19 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019
1.R 18 001 001.EP 003 003.EP 007 012 013 013.EP 015 019 022 022.EP 027 029 031 032 037 039
1.1 36 P.001 P.002 P.003 P.004 P.005 P.006 P.007 P.008 001 001.EP 003 003.EP 005.MI 005.MI.SA 006 007 009 011 012 013 016 017.MI 017.MI.SA 018 019 019.EP 021 022 023 025 026 027 030 035 036 037
1.2 26 P.001 P.002 P.003 P.004 P.005 P.006 P.007 P.008 001 002 003 004 005 011 012 013.MI 013.MI.SA 015 017 018 019 021 021.EP 022 023 024
1.3 33 P.001 P.002 P.003 P.004 P.005 P.006 P.007 001 001.EP 002 003 004 005 005.EP 007 008 009.MI 009.MI.SA 010 011 013.MI 013.MI.SA 015 016 018 019 021 023 024 025 029 033 035
1.4 27 P.001 P.002 P.003 P.004 P.005 001 001.EP 003 004 006 008 009 010 012 013 015 016 017.MI 017.MI.SA 019.MI 019.MI.SA 021 023 025 025.EP 027 029
Chapter 2: Sets and Logic
2.Lab 1 001
2.PJT 1 001
2.PT 10 001 002 003 004 005 006 007 008 009 010
2.R 38 001 003 007 009 011 011.EP 013 013.EP 019 022 025 025.EP 027 027.EP 030 032 032.EP 034 035 037 039 040 042 043 047 048 050 051 055 060 063 065 065.EP 069 071 071.EP 074 077
2.1 51 P.001 P.002 P.003 P.004 P.005 P.006 P.007 P.008 P.009 P.010 P.011 002 003 004 005 007 009 009.EP 012 013 013.EP 015 015.EP 017 021 022 023 025 029.MI 029.MI.SA 030 031 032 033 033.EP 036 037 041 042 043 045 047 049 052.MI 052.MI.SA 053 055 056 057 058 059
2.2 29 P.001 P.002 P.003 P.004 P.005 P.006 P.007 001 003 004 005 009 011 012 013 016 017 019 021 023 024 025 027 029 030 031 034 035 036
2.3 56 P.001 P.002 P.003 P.004 P.005 P.006 P.007 P.008 P.009 P.010 P.011 P.012 001 003 004 006 008 010 012 013 015 017 018 020 021 022 025 026 027 028 032 033 033.EP 035 035.EP 037 039 040 043 044 045 048 049 049.EP 050 051 053 053.EP 054 054.EP 056 058 060 061 062 063
2.4 40 P.001 P.002 P.003 P.004 P.005 P.006 P.007 P.008 P.009 P.010 P.011 P.012 P.013 P.014 001 003 005 006 007 009 010 012 013 016 017 018 019 022 023 026 027 028 029 031 033 035 036 037 039 041
Chapter 3: Proportions and Variation
3.Lab 1 001
3.PJT 1 002
3.PT 15 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
3.R 17 005 006 006.EP 009 013 013.EP 017 017.EP 019 021 027 030 033 037 045 047 049
3.1 35 P.001 P.002 P.003 P.004 P.005 P.006 P.007 P.008 P.009 003 004 006 007 010 011 012 014 015 016 017 018 018.EP 022 023 024 025 027.MI 027.MI.SA 029 031 032 034.MI 034.MI.SA 035 036
3.2 36 I.001 I.002 I.008 I.009 P.001 P.002 P.003 P.004 P.005 P.006 P.007 P.008 P.009 001 001.EP 002 002.EP 004 006 006.EP 008 012 013 013.EP 016 021 022 023 025 026 027.MI 027.MI.SA 030.MI 030.MI.SA 031 033
3.3 23 P.001 P.002 P.003 P.004 P.005 002.MI 002.MI.SA 004 006 009 011 012 014.MI 014.MI.SA 015 016 017 019 021 022 023 024 026
3.4 38 P.001 P.002 P.003 P.004 P.005 P.006 P.007 P.008 P.009 001 004 005 007 011 012 013 016 018 019 022 024 025 026.MI 026.MI.SA 027 029 030.MI 030.MI.SA 031 032 033 035 037 039 040 041 042 043
3.5 29 P.001 P.002 P.003 P.004 P.005 P.006 P.007 001 003.MI 003.MI.SA 006 007 008 010 010.EP 013 013.EP 014 015 016 017 017.EP 019 022 023 024 025.MI 025.MI.SA 026
4.Lab 2 001 002
4.PT 10 001 002 003 004 005 006 007 008 009 010
4.R 27 001 003 005 007 011 013 015 017 019 023 025 025.EP 027 031 033 035 038 041 042 047 049 051 055 057 059 061 063
4.1 29 I.001 P.001 P.002 P.003 P.004 P.005 P.006 001 001.EP 004 004.EP 006.MI 006.MI.SA 008 009.MI 009.MI.SA 011 013 013.EP 014 015 017 020 021 023 024 025 027 027.EP
4.2 29 P.001 P.002 P.003 P.004 P.005 P.006 P.007 002 003 003.EP 005 005.EP 006 007 009 009.EP 010 012.MI 012.MI.SA 013 016 018 020.MI 020.MI.SA 021 022 023 026 027
4.3 27 P.001 P.002 P.003 P.004 P.005 P.006 P.007 P.008 P.009 P.010 001 001.EP 003 003.EP 005 005.EP 007.MI 007.MI.SA 008 009 011.MI 011.MI.SA 013 016 016.EP 017 018
4.4 19 P.001 P.002 P.003 P.004 P.005 001 001.EP 003.MI 003.MI.SA 005 006.MI 006.MI.SA 007 008 009 011 014 015 018
4.5 21 P.001 P.002 P.003 P.004 P.005 P.006 001 001.EP 003 003.EP 005.MI 005.MI.SA 006 007 008 011 012 013.MI 013.MI.SA 015 017
4.6 34 P.001 P.002 P.003 P.004 P.005 P.006 P.007 P.008 001 001.EP 002 003.MI 003.MI.SA 004 004.EP 006 008 009 011 013 015 015.EP 017 019 021 023 025 026 027.MI 027.MI.SA 029 031 033 034
4.7 26 P.001 P.002 P.003 P.004 P.005 P.006 P.007 P.008 P.009 001 003 005 005.EP 007.MI 007.MI.SA 010 012 013 014 015 017 019 020 021 023 501.XP
4.8 28 P.001 P.002 P.003 P.004 P.005 P.006 P.007 P.008 001 002 003 004 005 007 008 009 011 011.EP 013 016 017 019.MI 019.MI.SA 021 023 025 028.MI 028.MI.SA
Chapter 5: Linear Functions
5.PJT 1 001
5.PT 15 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
5.R 18 001 003 005 008 009 012 012.EP 013 013.EP 014 015 017 018 019 021 022 023 025
5.1 32 P.001 P.002 P.003 P.004 P.005 P.006 001 003 005.MI 005.MI.SA 006 007 008 009 011 012 013 014 015 016 017 019 021 023 025 026 027 029 035.MI 035.MI.SA 037 039
5.2 31 P.001 P.002 P.003 P.004 P.005 P.006 001 001.EP 003 003.EP 005 006 007 009 011 013.MI 013.MI.SA 014 015 017 019 021 023 023.EP 024 025 027 028 029 031.MI 031.MI.SA
5.3 22 P.001 P.002 P.003 P.004 001 003.MI 003.MI.SA 004 005 007 009 011.MI 011.MI.SA 012 013 014 016 018 019 021 023 024
5.4 14 P.001 P.002 P.003 001 002 003.MI 003.MI.SA 004 005 006 007 009 010 011
Chapter 6: Nonlinear Functions
6.Lab 1 001
6.PJT 1 001
6.PT 15 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
6.R 16 001 005 007 011 015 019 020 025 028 031 033 034 035 037 039 040
6.1 31 P.001 P.002 P.003 P.004 P.005 P.006 P.007 001 001.EP 003 004 005 007 008 009 011.MI 011.MI.SA 013.MI 013.MI.SA 015 017 018 020 021 023 023.EP 024 025 027 029 030
6.2 29 P.001 P.002 P.003 P.004 P.005 P.006 P.007 P.008 P.009 001 002 003 006 007 009 011.MI 011.MI.SA 013 015 017 019 021.MI 021.MI.SA 022 023 024 027 028 029
6.3 35 P.001 P.002 P.003 P.004 P.005 P.006 P.007 P.008 002 002.EP 003 003.EP 005 005.EP 007 009 010 012 012.EP 013 013.EP 016 019 020 021 022.MI 022.MI.SA 023 025 026 027.MI 027.MI.SA 028 029 031
Chapter 7: Introduction to Probability
7.Lab 1 001
7.PJT 2 001 002
7.PT 12 001 002 003 004 005 006 007 008 009 010 011 012
7.R 31 002 004 005 010 012 014 016 019 022 026 026.EP 029 029.EP 031 034 034.EP 036 036.EP 037 037.EP 040 046 046.EP 047 050 054 055 059 061 065 069
7.1 28 P.001 P.002 P.003 P.004 P.005 P.006 001 005 007 008 013.MI 013.MI.SA 014 014.EP 015 016 016.EP 020 023 025 025.EP 026 030 030.EP 031.MI 031.MI.SA 032 032.EP
7.2 50 P.001 P.002 P.003 P.004 P.005 P.006 P.007 P.008 002 003 005 010 011.MI 011.MI.SA 015 016 018 019 021 024 027.MI 027.MI.SA 028 031 034 037 038 038.EP 040 040.EP 041 042 046 047 047.EP 049 049.EP 050 052 053 055 058 058.EP 059 061.MI 061.MI.SA 065 067 068 070
7.3 50 P.001 P.002 P.003 P.004 P.005 P.006 P.007 001 005 006 011 016 018 020 020.EP 021 023 023.EP 027 029 030 033 033.EP 034 035 036 036.EP 037 039 039.EP 042 043 045 047 048 049 052 055 056 058 059.MI 059.MI.SA 063 067 070 072 073 075 078.MI 078.MI.SA
7.4 33 I.002 P.001 P.002 P.003 P.004 P.005 003 005 007 009 013.MI 013.MI.SA 015 015.EP 018 018.EP 021 022 022.EP 027 030 033 035 035.EP 037 039 039.EP 041.MI 041.MI.SA 043 045 046 050
7.5 42 P.001 P.002 P.003 P.004 001 003 005 007 009 011 014 014.EP 015 017 017.EP 019 022 023 023.EP 025 027.MI 027.MI.SA 029 030 035 037 039 042.MI 042.MI.SA 043 044 044.EP 045 047 049 049.EP 052 053 055 058.MI 058.MI.SA 059
7.6 18 I.001 P.001 P.002 P.003 002 003 004 004.EP 005 007 007.EP 009 009.EP 011.MI 011.MI.SA 014 015 017
Chapter 8: Introduction to Statistics
8.Lab 1 001
8.PJT 2 001 002
8.PT 10 001 002 003 004 005 006 007 008 009 010
8.R 10 001 004 006 006.EP 010 012 014 017 017.EP 019
8.1 23 P.001 P.002 P.003 P.004 P.005 003 006 010.MI 010.MI.SA 011 015 015.EP 017 020.MI 020.MI.SA 025 029 029.EP 032.MI 032.MI.SA 033 035 036
8.2 22 I.001 I.002 P.001 P.002 P.003 P.004 P.005 001 002.MI 002.MI.SA 003 005 007 008.MI 008.MI.SA 010 012 017 018 019 020 021
8.3 33 I.001 P.001 P.002 P.003 P.004 P.005 P.006 001 002 003 004 005 006.MI 006.MI.SA 007 008 009 009.EP 010 010.EP 011.MI 011.MI.SA 012 013 016 017.MI 017.MI.SA 020 020.EP 021 021.EP 022 022.EP
8.4 29 P.001 P.002 P.003 P.004 P.005 002 005 009.MI 009.MI.SA 013 017 020.MI 020.MI.SA 023 023.EP 025 025.EP 027 029.MI 029.MI.SA 031 032 032.EP 033 033.EP 035 037 039 040
Chapter 9: Voting and Apportionment
9.Lab 1 001
9.PJT 2 001 002
9.PT 10 001 002 003 004 005 006 007 008 009 010
9.R 16 001 003 006 009 011 011.EP 013 013.EP 014 017 017.EP 018 021 023 023.EP 027
9.1 23 P.001 P.002 P.003 P.004 002 005 007 007.EP 011 016.MI 016.MI.SA 017 017.EP 019 021 022.MI 022.MI.SA 023 023.EP 027 028 029 031
9.2 26 P.001 P.002 P.003 P.004 P.005 P.006 001 001.EP 002 004 006 008.MI 008.MI.SA 011.MI 011.MI.SA 014 016 018 020 023 023.EP 026 026.EP 028 029.MI 029.MI.SA
9.3 22 P.001 P.002 P.003 002 003 004 004.EP 007.MI 007.MI.SA 009 011 012 012.EP 015 015.EP 019 020 021.MI 021.MI.SA 023 024 025
Chapter 10: Circuits and Networks
10.Lab 1 001
10.PJT 1 001
10.PT 10 001 002 003 004 005 006 007 008 009 010
10.R 18 001 004 006 009 009.EP 010 010.EP 012 013 013.EP 018 019 022 023 027 029 031 033
10.1 27 P.001 P.002 P.003 P.004 P.005 P.006 P.007 003 005 006 007 009 010 011 012 015 015.EP 017 017.EP 018 018.EP 019 019.EP 021 021.EP 023 025
10.2 28 P.001 P.002 P.003 P.004 P.005 P.006 001 001.EP 003 003.EP 005 007 009 011 013 015 017 019 021 023.MI 023.MI.SA 024 025 026 027 029.MI 029.MI.SA 030
10.3 18 P.001 P.002 P.003 P.004 P.005 001 002 003 005 007 015 016 017 018 019 021 023.MI 023.MI.SA
10.4 17 P.001 P.002 P.003 P.004 001 009 011 012 013 015 016 017 019 021 022 023 026
Chapter 11: Geometry
11.Lab 1 001
11.PJT 1 002
11.PT 12 001 002 003 004 005 006 007 008 009 010 011 012
11.R 27 004 004.EP 006 006.EP 007 008 008.EP 011 011.EP 016 016.EP 021 021.EP 022 024 028 029 031 035 038 043 045 046 050 050.EP 052 054
11.1 29 I.001 I.002 I.008 I.009 P.001 P.002 P.003 P.004 P.005 P.006 P.007 P.008 P.009 001 001.EP 002 002.EP 006 006.EP 008 013 013.EP 016 027.MI 027.MI.SA 030.MI 030.MI.SA 031 033
11.2 32 P.001 P.002 P.003 P.004 P.005 P.006 P.007 003 005 011.MI 011.MI.SA 015 017 019 019.EP 021 021.EP 023 025 025.EP 027 027.EP 031.MI 031.MI.SA 033 037 041 041.EP 044 045.MI 045.MI.SA 047
11.3 37 P.001 P.002 P.003 P.004 P.005 P.006 P.007 P.008 P.009 P.010 P.011 003.MI 003.MI.SA 005 007 009 011 013 017 019 019.EP 023 024 025 027 028.MI 028.MI.SA 031 032 034 034.EP 040 040.EP 044 046.MI 046.MI.SA 049
11.4 38 P.001 P.002 P.003 P.004 001 002 002.EP 003 003.EP 005 006 007.MI 007.MI.SA 009 009.EP 010.MI 010.MI.SA 011 011.EP 012 012.EP 013 015 017 019 021 023 030.MI 030.MI.SA 032 033 036 039 047 048 049 052 055
11.5 29 P.001 P.002 P.003 P.004 003 005 007 009 009.EP 013 013.EP 017 021.MI 021.MI.SA 023 025 029 030 031 037 040 044 048 050.MI 050.MI.SA 052 054 056.MI 056.MI.SA
11.6 30 P.001 P.002 P.003 P.004 P.005 P.006 003 003.EP 005 005.EP 007 011 012.MI 012.MI.SA 013 015 016 017 019 020 021 024 025.MI 025.MI.SA 027 031 032 039.MI 039.MI.SA 501.XP
11.7 21 I.001 P.001 P.002 P.003 001 002 003 005 007.MI 007.MI.SA 010 011 013.MI 013.MI.SA 016 019 021 022 023 024.MI 024.MI.SA
11.8 27 I.001 P.001 P.002 P.003 P.004 P.005 001 004 005 007 008 010 011 011.EP 013 013.EP 014 015 015.EP 016.MI 016.MI.SA 017 017.EP 018.MI 018.MI.SA 019 019.EP
Total 1997