Algebra and Trigonometry 3rd edition

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Cynthia Y. Young
Publisher: John Wiley & Sons

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  • Chapter 0: Prerequisites and Review
    • 0.1: Real Numbers (22)
    • 0.2: Integer Exponents and Scientific Notation (20)
    • 0.3: Polynomials: Basic Operations (6)
    • 0.4: Factoring Polynomials (25)
    • 0.5: Rational Expressions (27)
    • 0.6: Rational Exponents and Radicals (21)
    • 0.7: Complex Numbers (15)
    • 0: Review Exercises
    • 0: Practice Test

  • Chapter 1: Equations and Inequalities
    • 1.1: Linear Equations (19)
    • 1.2: Applications Involving Linear Equations (19)
    • 1.3: Quadratic Equations (26)
    • 1.4: Other Types of Equations (18)
    • 1.5: Linear Inequalities (18)
    • 1.6: Polynomial and Rational Inequalities (8)
    • 1.7: Absolute Value Equations and Inequalities (20)
    • 1: Review Exercises
    • 1: Practice Test
    • 1: Cumulative Test

  • Chapter 2: Graphs
    • 2.1: Basic Tools: Cartesian Plane, Distance, and Midpoint (11)
    • 2.2: Graphing Equations: Point-Plotting, Intercepts, and Symmetry (13)
    • 2.3: Lines (33)
    • 2.4: Circles (20)
    • 2.5: Linear Regression: Best Fit (5)
    • 2: Review Exercises
    • 2: Practice Test
    • 2: Cumulative Test

  • Chapter 3: Functions and Their Graphs
    • 3.1: Functions (56)
    • 3.2: Graphs of Functions; Piecewise-Defined Functions; Increasing and Decreasing Functions; Average Rate of Change (42)
    • 3.3: Graphing Techniques: Transformations (23)
    • 3.4: Operations on Functions and Composition of Functions (39)
    • 3.5: One-to-One Functions and Inverse Functions (23)
    • 3.6: Modeling Functions Using Variation (22)
    • 3: Review Exercises (17)
    • 3: Practice Test
    • 3: Cumulative Test

  • Chapter 4: Polynomial and Rational Functions
    • 4.1: Quadratic Functions (23)
    • 4.2: Polynomial Functions of Higher Degree (19)
    • 4.3: Dividing Polynomials: Long Division and Synthetic Division (20)
    • 4.4: The Real Zeros of a Polynomial Function (15)
    • 4.5: Complex Zeros: The Fundamental Theorem of Algebra (17)
    • 4.6: Rational Functions (20)
    • 4: Review Exercises
    • 4: Practice Test
    • 4: Cumulative Test

  • Chapter 5: Exponential and Logarithmic Functions
    • 5.1: Exponential Functions and Their Graphs (16)
    • 5.2: Logarithmic Functions and Their Graphs (27)
    • 5.3: Properties of Logarithms (20)
    • 5.4: Exponential and Logarithmic Equations (26)
    • 5.5: Exponential and Logarithmic Models (20)
    • 5: Review Exercises
    • 5: Practice Test
    • 5: Cumulative Test

  • Chapter 6: Trigonometric Functions
    • 6.1: Angles, Degrees, and Triangles (12)
    • 6.2: Definition 1 of Trigonometric Functions: Right Triangle Ratios (11)
    • 6.3: Applications of Right Triangle Trigonometry: Solving Right Triangles (12)
    • 6.4: Definition 2 of Trigonometric Functions: Cartesian Plane (11)
    • 6.5: Trigonometric Functions of Nonacute Angles (13)
    • 6.6: Radian Measure and Applications (16)
    • 6.7: Definition 3 of Trigonometric Functions: Unit Circle Approach (10)
    • 6.8: Graphs of Sine and Cosine Functions (13)
    • 6.9: Graphs of Other Trigonometric Functions (13)
    • 6: Review Exercises
    • 6: Practice Test
    • 6: Cumulative Test

  • Chapter 7: Analytic Trigonometry
    • 7.1: Basic Trigonometric Identities (11)
    • 7.2: Verifying Trigonometric Identities (11)
    • 7.3: Sum and Difference Identities (11)
    • 7.4: Double-Angle Identities (11)
    • 7.5: Half-Angle Identities (12)
    • 7.6: Product-to-Sum and Sum-to-Product Identities (11)
    • 7.7: Inverse Trigonometric Functions (12)
    • 7.8: Trigonometric Equations (13)
    • 7: Review Exercises
    • 7: Practice Test
    • 7: Cumulative Test

  • Chapter 8: Additional Topics in Trigonometry
    • 8.1: Oblique Triangles and the Law of Sines (9)
    • 8.2: The Law of Cosines (9)
    • 8.3: The Area of a Triangle (9)
    • 8.4: Vectors (9)
    • 8.5: The Dot Product (9)
    • 8.6: Polar (Trigonometric) Form of Complex Numbers (9)
    • 8.7: Products, Quotients, Powers, and Roots of Complex Numbers; DeMoivre's Theorem (9)
    • 8.8: Polar Equations and Graphs (10)
    • 8: Review Exercises
    • 8: Practice Test
    • 8: Cumulative Test

  • Chapter 9: Systems of Linear Equations and Inequalities
    • 9.1: Systems of Linear Equations in Two Variables (20)
    • 9.2: Systems of Linear Equations in Three Variables (13)
    • 9.3: Partial Fractions (12)
    • 9.4: Systems of Linear Inequalities in Two Variables (8)
    • 9.5: The Linear Programming Model (14)
    • 9: Review Exercises
    • 9: Practice Test
    • 9: Cumulative Test

  • Chapter 10: Matrices
    • 10.1: Matrices and Systems of Linear Equations (27)
    • 10.2: Matrix Algebra (30)
    • 10.3: Matrix Equations; The Inverse of a Square Matrix (21)
    • 10.4: The Determinant of a Square Matrix and Cramer's Rule (27)
    • 10: Review Exercises
    • 10: Practice Test
    • 10: Cumulative Test

  • Chapter 11: Analytic Geometry and Systems of Nonlinear Equations and Inequalities
    • 11.1: Conic Basics (5)
    • 11.2: The Parabola (16)
    • 11.3: The Ellipse (8)
    • 11.4: The Hyperbola (12)
    • 11.5: Systems of Nonlinear Equations (22)
    • 11.6: Systems of Nonlinear Inequalities (7)
    • 11.7: Rotation of Axes (9)
    • 11.8: Polar Equations of Conics (9)
    • 11.9: Parametric Equations and Graphs (12)
    • 11: Review Exercises
    • 11: Practice Test
    • 11: Cumulative Test

  • Chapter 12: Sequences, Series, and Probability
    • 12.1: Sequences and Series (27)
    • 12.2: Arithmetic Sequences and Series (24)
    • 12.3: Geometric Sequences and Series (25)
    • 12.4: Mathematical Induction (11)
    • 12.5: The Binomial Theorem (16)
    • 12.6: Counting, Permutations, and Combinations (14)
    • 12.7: Probability (15)
    • 12: Review Exercises
    • 12: Practice Test
    • 12: Cumulative Test

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XP - Extra Problem
GO - Go Tutorial


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Group Quantity Questions
Chapter 0: Prerequisites and Review
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0.2 20 002 010 012 017 022 026 029 034 044 047 050 054 058 062 070 072 082 084 087.GO 090
0.3 6 020.GO 066 070 073 082 084
0.4 25 002 010 013 019 020 021 025 037 042 047 048 051 052 057 057.GO 059 062 064 067 071 077 079 091.GO 094 098
0.5 27 003 012 016 019 026 030 033 035 036 045 048 054 055 058 061 064 072 075 079 080 081 082 085 089 090 091 099
0.6 21 004 008 016 019 024 028 030 032 034 040 042 048 051.GO 054 056 058 060 062 063 072 081
0.7 15 002 006 041 044 047 052 056 064 068 072 076 078 081 083 086
Chapter 1: Equations and Inequalities
1.1 19 002 007 012 020 023 032 039 041 048 050 056 062 072 073.GO 076 082 096 098 102
1.2 19 002 005 007 010 018 022 025 027 030 040 043 044 048 051 055 057 065 069 072
1.3 26 006 008 014 018 022 028 031 036 041 047 058 062 068 072 075 085 087 092 094 105 108 117 132 136 147 149
1.4 18 006 008 012 030 039 044 048 052 060 063 068 070 075 080 081 091 094 112
1.5 18 025 027 032 052 055 058 064 075 077 081 085 100 100.GO 102 105 109 124 128
1.6 8 002 010 018 023 028 064 066 080
1.7 20 002 007 010 015 026 033.GO 034 038 040 044 049 052 056 068 073 075 077 092 095 098
Chapter 2: Graphs
2.1 11 011 014 021 024 029 032 034 037 038 040 043
2.2 13 024 026 028 032 034 036 037 046 048 051 053 056 058
2.3 33 002 005 009 012 014 016 036 042 044 047 052 055 056 059 066 068 070 078 080 082 086 088 090 094 096 107 109 111 115 127 131 133 138
2.4 20 002 006 009 016 019 020 022 025 027 030 031 033 038 042 052 053 055 056 061 063
2.5 5 001 003 007 026 029
Chapter 3: Functions and Their Graphs
3.R 17 002 008 014 017 030 035 042 047 063 069 074 081 100 110 118 120 128
3.1 56 002 003 008 010 011 013 014 017 018 020 021 024 026 028 032 033 033.GO 037 039.GO 040 042 044 045 050 052 056 057 061 063 064.GO 066 067 069 070 071 072 075 080 082 085.GO 088 091 092 095 098 099 100 104 106 108 109 116 129 131 135 136
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3.3 23 001 004 005 008 010 012 013 017 020 022 024 033.GO 043.GO 045.GO 081 083 084 086 090 094 095 096 097
3.4 39 001 006 007 008.GO 009 010 012 014 016 017.GO 019 020 022 028 029 034 038 042 043 047 048.GO 050 052 054 057.GO 058 060 061 065 066 068 070 072.GO 077 079 089 090 092 094
3.5 23 002 007 010 012 017 022 023 044 047 047.GO 050 053.GO 054 059 065 067 070 081 082 084 087 093 095
3.6 22 002 003 007 010 012 015 018 020 022 024.GO 028 031.GO 034 036.GO 037 040 043.GO 049 051.GO 052 060 062
Chapter 4: Polynomial and Rational Functions
4.1 23 001 004 006 024 026 030 032 034.GO 043 045 048 049 052 057 064 066 068 071 074 078 083 088 501.XP
4.2 19 005 006 007 010 014 027 028 033 035 038 040 045 052 073 075 077 095 099 501.XP
4.3 20 001 005 010 014 019 021 025 031 034 039 041 043 047 051 054 057 061 064 075 501.XP
4.4 15 001 006 007 009 011 013 018 034 041 067 069 071 078 085 501.XP
4.5 17 001 006 009 018 020 021.GO 023 027 030 033 035 038 050 055 058 061 075
4.6 20 003 004 005 007 009 011 015 017 020 021 024 026 031 059 062 064 066 070 072 501.XP
Chapter 5: Exponential and Logarithmic Functions
5.1 16 001 005 008 013 016 018 019 024 025 051 053 060 062 074 081 502.XP
5.2 27 001 006 011 016 021 026 030 034 035 039 043 045 046 052 053 055 059 064 068 084 088 091 094 097 100 111 501.XP
5.3 20 006 011 016 018 023 027 030 032 038 041 044 045 051 055 057 064 069 075 501.XP 502.XP
5.4 26 001 006 011 016 019 023 027 031 044 045 053 056 061 062 067 071 074 078 081 085 087 090 094 104 107 501.XP
5.5 20 001 005 006 008 011 012 014 017 019 027 030 033 034 035 040 044 046 049 053 055
Chapter 6: Trigonometric Functions
6.1 12 002 020 026.GO 027 032 039 045 048.GO 089 501.XP.GO 503.XP 511.XP
6.2 11 004 019 026 033 045.GO 053 053.GO 065 068 091 507.XP
6.3 12 005 011 022.GO 033 042 053 064 064.GO 082 100 501.XP.GO 503.XP
6.4 11 005 019 044 055 060 068.GO 078 085 093.GO 103 506.XP
6.5 13 013 016.GO 025 029 039 046.GO 059 061.GO 071 081 081.GO 094 507.XP
6.6 16 034 040 044 063 064.GO 077 090.GO 104.GO 127.GO 136.GO 501.XP.GO 502.XP 503.XP.GO 512.XP 519.XP 526.XP
6.7 10 009 015 024 035 044 057 061.GO 066 073 079
6.8 13 014 017.GO 025.GO 041 049 057 101 111 131 501.XP.GO 502.XP.GO 503.XP 509.XP
6.9 13 005 013.GO 032.GO 053.GO 057 061 069.GO 076 501.XP 502.XP 503.XP 504.XP 505.XP
Chapter 7: Analytic Trigonometry
7.1 11 013 023 027 037 048.GO 051 060 079 083.GO 092 502.XP
7.2 11 012 017 026 030 039.GO 052 066 071 078.GO 080 503.XP
7.3 11 007.GO 009 012.GO 018 023 029 034 069 074 080 503.XP
7.4 11 007 010 016.GO 025 035 037 053.GO 059 062 069 505.XP
7.5 12 003 009 011.GO 012 019 043 045.GO 059 062.GO 065 504.XP 505.XP
7.6 11 007 010 022 031.GO 035 048 051.GO 052 068 503.XP 504.XP
7.7 12 011 026.GO 028 047 058 064 078 099 113.GO 501.XP 502.XP.GO 503.XP
7.8 13 021 044 050 061 063.GO 073 079.GO 081.GO 083 096 127.GO 504.XP 505.XP
Chapter 8: Additional Topics in Trigonometry
8.1 9 005 017 020 033 036 052 055 502.XP 505.XP
8.2 9 002 016 021 024 035 044 053 067 502.XP
8.3 9 008 012 017 034 043 045 501.XP 502.XP 505.XP
8.4 9 001 007 012 018 026 043 057 072 092
8.5 9 013 019 032 035 038 043 066 501.XP 504.XP
8.6 9 012 024 046 058 061 077 085 502.XP 506.XP
8.7 9 001 005 012 017 021 043 063 502.XP 507.XP
8.8 10 012 016 021 026 029 031 033 077 080 082
Chapter 9: Systems of Linear Equations and Inequalities
9.1 20 002 006 014 018 022 024 028 032 036 040 043 058 060 064 067 077 501.XP 502.XP 503.XP 504.XP
9.2 13 002 010 018 030 034 038 043 046 049 059 063 501.XP 502.XP
9.3 12 008 010 016 020 024 028 032 035 040 042 047 050
9.4 8 002 003 050 052 060 062 066 070
9.5 14 002 003 004 005 008 010 012 014 017 019 020 023 025 031
Chapter 10: Matrices
10.1 27 002 004 006 016 019 022 026 030 052 055 058 061 064 067 072 074 080 084 086 088 091 094 101 104 106 112 116
10.2 30 002 006 011 014 015 016 018 022 024 028 030 032 034 038 040 042 044 048 050 052 054 056 058 062 064 068 073 076 078 080
10.3 21 010 012 014 018 019 022 025 028 029.GO 031 033 037 041 045 048 050 054 055 057 062 064
10.4 27 001 002 010 012 015.GO 016 020 024 028 032 038 042 046 048 051 052.GO 054 057 060 062 065 065.GO 068 079 080 085 501.XP
Chapter 11: Analytic Geometry and Systems of Nonlinear Equations and Inequalities
11.1 5 001 005 009 010 012
11.2 16 002 004 006 008 009 015 018 020 022 024 046 049 051 053 054 056
11.3 8 018 020 022 023 041.GO 048 050 058
11.4 12 003 004 017 018 021 024 039 040 042 044 048 050
11.5 22 006 009 010 012 017 021 024 025 030 031 034 040 042 044 048 051 056 060 063 501.XP 502.XP 503.XP
11.6 7 002 006 010 012 052 055 057
11.7 9 003 007 025 027 030 032 036 049 061
11.8 9 006 008 011 019 021 026 054 056 058
11.9 12 019.GO 032 035 038 039.GO 040 047.GO 051 058 065 503.XP 505.XP
Chapter 12: Sequences, Series, and Probability
12.1 27 006 008 012 014 016 020 022 026 028 030 038 040 045 048 052 058 064 066 068 070 080 082 087 090 098 102 104
12.2 24 002 012 016 018 022 023.GO 024 027 028 032 036 040 045 049 052 054 058 058.GO 060 067 070 075 079 082
12.3 25 002 007 014 016 018 023.GO 024 026 032 034 035.GO 036 040 052 054 058 060 062 065 072 078 082 084 088 501.XP
12.4 11 002 006 014 016 022 024 026 028 030 032 037
12.5 16 006 008 009 012 016 020 021.GO 028 032 034 037 040 043 047 052 054
12.6 14 004 006 008 012 014 016 020 027 030 033 038 041 049 053
12.7 15 008 012 014 016 019 020 026 028 033 040 047 049 052 060 061.GO
 Chapter 13
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