1.

Solve single variable equations, including linear, absolute value,
quadratic, quadratic type, rational, polynomial, radical, exponential,
and logrithmetic. (I)

2.

Solve quadratic equations by using the following methods: factoring,
completing the square, the quadratic formula, and graphing. (I)

3.

Solve the following types of single variable inequalities: linear,
absolute value, quadratic, and rational. (I)

4.

Express the solutions of inequalities using algebraic symbols, a
graph, and interval notation. (I)

5.

Solve systems of linear and nonlinear equations by: graphing,
elimination, substitution, Cramer's Rule (optional) and matrices. (I)

6.

State domain and range of relations. (II)

7.

Determine if a relation is a function. (II)

8.

Identify types of functions centered at the origin. (II)

9.

Identify types of functions that have been translated. (II)

10.

State the composition of two functions and state its domain. (II)

11.

Determine whether a function is 1 to 1 and state its domain. (II)

12.

Find the inverse of a 1 to 1 function. Graph the inverse. (II)

13.

Find the axis of symmetry, vertex and intercepts of a quadratic
relation, then draw the graph. (II)

14.

Find the irreducible factors and zeros of a polynomial function, then
draw the graph. (II)

15.

Find the intercepts, asymtotes and additional points of rational
functions, then graph. (II)

16.

Identify the types of conic section from its equation and graph. (II)

17.

Use translations to graph conic sections. (II)

18.

Decompose a reduced proper and improper fraction into the sum of
partial fractions. (III)

19.

Plot the graph of common and natural logarithmic functions. (IV)

20.

Find the domain, range, and inverse of logarithmic functions. (IV)

21.

Use the properties of logarithms. (IV)

22.

Perform the operations of matrices. (V)

23.

Evaluate the determinant of a matrix using cofactors and row column
operations. (V)

24.

Use the principle of mathematical induction. (VI)

25.

Find the nth terms of arithmetic, geometric and infinite geometric
sequences. (VI)

26.

Find the first n terms of arithmetic, geometric and infinite geometric
sequences. (VI)

27.

Use the binomial formula to expand (a+b)n. (VI)

28.

Use combinations and permutations to count. (VI)

29.

Solve a variety of application problems. (VII)

