Section

Functions

2.4, 6.1, 7.6, 8.4,  9.2, 9.3

Finding the domain of a functions algebraically ( Linear, Quadratic, Square Root, Rational, Exponential, Logarithmic)

9.1

Forming the Composite Function

9.1

Finding the Inverse of a Functions Defined by an Equation

8.5

Maximum or minimum problems

Expressions

7.8

Adding, Subtracting, Multiplying, and Dividing Complex numbers

7.3, 7.4, 7.5

adding and subtracting like radicals)

7.1

Simplifying Rational Exponents

5.3

Simplifying Rational Expressions (addition, subtraction,  long division, and synthetic division)

9.4

Expanding and Condensing Logarithmic Expressions (Properties of Logarithms)

Solving Equations

1.6

Absolute Value

7.7

Radical

8.1, 8.2

Note:  Complex numbers as solutions are possible

8.3

Quadratic in Form

9.3, 9.5

Logarithmic

9.2, 9.5

Exponential

Solving Systems of Equations

4.3

Elimination (3X3)

4.4

Matrix Method (3X3)

4.5

Cramer’s Rule (Determinants) (2X2)

Solving Inequalities

1.6

Absolute Value

1.5

Compound

8.6

Quadratic

6.5

Rational

Graphing (Stating the Domain and Range of Functions)

2.3,  2.4

Linear Function

2.3

Absolute Value

7.6

Radical Function

8.4, 8.5, 10.3

Quadratic (both vertical and horizontal)

9.2

Exponential Function

9.3

Logarithmic Function

10.2

Circle

10.4

Ellipse

10.5

Hyperbola

Note:  Completing the square or using a simple division step may be needed to write the equation in standard form.

Sequences, Series, Counting Techniques, Binomial theorem

11.1

Writing the First Several Terms of a Sequence

11.1

Finding a Formula for the nth Term of a Sequence

11.1

Expressing Sum Using Summation Notation

3.2

Writing Equations of Lines; Finding Slope

10.1

Finding the Distance between Two Points.

5.4, 5.6

Factoring (sum and difference of two cubes; difference of two squares; by grouping)