
TABLE OF CONTENTS 

CH 4
CH 8
CH 12
CH 16 

CH 1 
The Integers 

SAT 
TE 
11 
Whole Numbers, Integers, and the Number Line 





12 
Writing and Solving Number Sentences 





13 
Adding Polynomials 





14 
Solving Absolute Value Equations and Inequalities 
A2.A.1 


15 
Multiplying Polynomials 



ACY 

16 
Factoring Polynomials 
A2.A.7 
ACY 

17 
Quadratic Equations with Integral Roots 





18 
Quadratic Inequalities 
A2.A.4 


CH 2 
The Rational Numbers 

SAT 
TE 
21 
Rational Numbers 





22 
Simplifying Rational Expressions 





23 
Multiplying and Dividing Rational Expressions 
A2.A.16 


24 
Adding and Subtracting Rational Expressions 


25 
Ratio and Proportion 



ACY 

26 
Complex Rational Expressions 
A2.A.17 


27 
Solving Rational Equations 
A2.A.23 


28 
Solving Rational Inequalities 


CH 3 
Real Numbers and Radicals


SAT 
TE 
31 
The Real Numbers and Absolute Value 





32 
Roots and Radicals 



ACY 

33 
Simplifying Radicals 
A2.A.13 


34 
Adding and Subtracting Radicals 
A2.A.14 


35 
Multiplying Radicals 
ACY 

36 
Dividing Radicals 


37 
Rationalizing a Denominator 
A2.N.5
A2.A.15 


38 
Solving Radical Equations 
A2.A.22 



CH 4 
Relations and Functions 

SAT 
TE 
41 
Relations and Functions 
A2.A.37
A2.A.38
A2.A.39
A2.A.43
A2.A.51 


42 
Function Notation 
A2.A.40
A2.A.41 


43 
Linear Functions and Direct Variation 
A2.A.43
A2.A.46 


44 
Absolute Value Functions 





45 
Polynomial Functions 
A2.A.46 
ACY 

46 
The Algebra of Functions 
A2.A.46 


47 
Composition of Functions 
A2.A.42 
ACY 

48 
Inverse Functions 
A2.A.44 


49 
Circles 
A2.A.49 


410 
Inverse Variation 
A2.A.5 


CH 5 
Quadratic Functions and Complex Numbers 

SAT 
TE 
51 
Real Roots of a Quadratic Equation 
A2.A.24 


52 
The Quadratic Formula 
A2.A.25 


53 
The Discriminant 
A2.A.2 


54 
The Complex Numbers 
A2.N.6
A2.N.7 


55 
Operations with Complex Numbers 
A2.N.8
A2.N.9 
ACY 

56 
Complex Roots of a Quadratic Equation 



ACY 

57 
Sum and Product of the Roots of a Quadratic Equation 
A2.A.20
A2.A.21 


58 
Solving Higher Degree Polynomial Equations 
A2.A.26 


59 
Solutions of Systems of Equations and Inequalities 
A2.A.3
A2.A.4 


CH 6 
Sequences and Series 

SAT 
TE 
61 
Sequences 
A2.A.33 


62 
Arithmetic Sequences 



ACY 

63 
Sigma Notation 
A2.N.10
A2.A.34 


64 
Arithmetic Series 
A2.A.35 


65 
Geometric Sequences 





66 
Geometric Series 
A2.A.35 


67 
Infinite Series 





CH 7 
Exponential Functions 

SAT 
TE 
71 
Laws of Exponents 
A2.A.8 


72 
Zero and Negative Exponents 
A2.A.9 


73 
Fractional Exponents 
A2.N.1
A2.A.10
A2.A.11 
ACY 

74 
Exponential Functions and Their Graphs 
A2.A.12
A2.A.53 


75 
Solving Equations Involving Exponents 





76 
Solving Exponential Equations 
A2.A.27 


77 
Applications of Exponential Functions 




CH 8 
Logarithmic Functions 

SAT 
TE 
81 
Inverse of an Exponential Function 
A2.A.54 


82 
Logarithmic Form of an Exponential Equation 
A2.A.18 


83 
Logarithmic Relationships 
A2.A.19 


84 
Common Logarithms 





85 
Natural Logarithms 



ACY 

86 
Exponential Equations 
A2.A.6
A2.A.27 
ACY 

87 
Logarithmic Equations 
A2.A.28 


CH 9 
Trigonometric Functions 

SAT 
TE 
91 
Trigonometry of the Right Triangle 
A2.A.55 


92 
Angles and Arcs as Rotations 





93 
The Unit Circle, Sine, and Cosine 
A2.A.62 


94 
The Tangent Function 





95 
The Reciprocal Trigonometric Functions 
A2.A.55
A2.A.58
A2.A.60 


96 
Function Values of Special Angles 
A2.A.56 


97 
Function Values from the Calculator 
A2.A.66 
ACY 

98 
Reference Angles and the Calculator 
A2.A.57 


CH 10 
More Trigonometric Functions 

SAT 
TE 
101 
Radian Measure 
A2.A.61
A2.M.2 


102 
Trigonometric Function Values and Radian Measure 



ACY 

103 
Pythagorean Identities 





104 
Domain and Range of Trigonometric Functions 





105 
Inverse Trigonometric Functions 
A2.A.64 


106 
Cofunctions 
A2.A.58 


CH 11 
Graphs of Trigonometric Functions 

SAT 
TE 
111 
Graph of the Sine Function 





112 
Graph of the Cosine Function 





113 
Amplitude, Period, and Phase Shift 
A2.A.69 
ACY 

114 
Writing the Equation of a Sine or Cosine Graph 
A2.A.72 
ACY 

115 
Graph of the Tangent Function 





116 
Graphs of the Reciprocal Functions 
A2.A.71 


117 
Graphs of Inverse Trigonometric Functions 
A2.A.63
A2.A.65 


118 
Sketching Trigonometric Graphs 
A2.A.70 
ACY 


CH 12 
Trigonometric Identities 

SAT 
TE 
121 
Basic Identities 





122 
Proving an Identity 
A2.A.67 


123 
Cosine (A – B) 
A2.A.76 


124 
Cosine (A + B) 


125 
Sine (A – B) and Sine (A + B) 


126 
Tangent (A – B) and Tangent (A + B) 


127 
Functions of 2A 
A2.A.77 


128 
Functions of ½A 
ACY 

CH 13 
Trigonometric Equations 

SAT 
TE 
131 
FirstDegree Trigonometric Equations 
A2.A.68 


132 
Using Factoring to Solve Trigonometric Equations 


133 
Using the Quadratic Formula to Solve Trigonometric
Equations 


134 
Using Substitution to Solve Trigonometric Equations
Involving More Than One Function 
ACY 

135 
Using Substitution to Solve Trigonometric Equations
Involving Different Angle Measures 


CH 14 
Trigonometric Applications 

SAT 
TE 
141 
Similar Triangles 





142 
Law of Cosines 
A2.A.73 


143 
Using the Law of Cosines to Find Angle Measure 


144 
Area of a Triangle 
A2.A.74 
ACY 

145 
Law of Sines 
A2.A.73 


146 
The Ambiguous Case 
A2.A.75 


147 
Solving Triangles 
A2.A.73 
ACY 

CH 15 
Statistics 

SAT 
TE 
151 
Gathering Data 
A2.S.2 


152 
Measures of Central Tendency 





153 
Measures of Central Tendency for Grouped Data 
A2.S.3 


154 
Measures of Dispersion 
A2.S.4 


155 
Variance and Standard Deviation 


156 
Normal Distribution 
A2.S.5 


157 
Bivariate Statistics 
A2.S.7 


158 
Correlation Coefficient 
A2.S.8 
ACY 

159 
NonLinear Regression 
A2.S.7 


1510 
Interpolation and Extrapolation 



CH 16 
Probability and the Binomial Theorem 

SAT 
TE 
161 
The Counting Principle 





162 
Permutations and Combinations 
A2.S.9
A2.S.10
A2.S.11
A2.S.12 


163 
Probability 
A2.S.13 
ACY 

164 
Probability with Two Outcomes 
A2.S.15 
ACY 

165 
Binomial Probability and the Normal Curve 





166 
The Binomial Theorem 
A2.A.36 









INDEX 


