COREQUISITE: None

REQUIRED MATERIALS:

A scientific calculator, with square and square root functions, is required.

Students satisfactorily completing this course will be able to:

1. communicate using the appropriate mathematics vocabulary.
2. use appropriate mathematical notation.
3. solve application problems using algebra and determine if solutions make sense.
4. write clear, coherent solutions that demonstrate an understanding of math concepts.
5. perform operations with real numbers (with a focus on fractions and integers); graph and order real numbers.
6. use the order of operations to simplify expressions with real numbers and algebraic terms.
7. solve problems involving percent (including percentages of increase and decrease); solve proportions.
8. evaluate algebraic expressions and formulas for given values.
9. solve linear equations; solve linear inequalities, and graph their solutions, and write the solutions in interval notation.
10. solve formulas for specified variables; solve application problems where multiple unknowns are defined in terms of one variable, including the use of perimeter and area concepts.
11. identify and use the properties of real numbers.
12. graph linear equations by constructing a table of values, using the x- and y-intercepts, and using the slope and y-intercept.
13. find the slope of a line given two points on a line, from the graph, and with the equation.
14. recognize the characteristics of horizontal, vertical, parallel, and perpendicular lines.
15. write the equation of a line given two points on a line, the slope and a point, and the graph of a line.
16. solve systems of equations by graphing, substitution, and elimination by addition; recognize special cases.
17. solve application problems that involve solving systems algebraically.
18. graph the solution set of linear inequalities in two variables.
19. apply the properties of exponents to simplify algebraic expressions.
20. perform operations with numbers written using scientific notation and convert to standard notation.
21. understand and apply the vocabulary of polynomials.
22. perform operations with polynomials: add, subtract, multiply, and divide by a monomial.
23. factor polynomials using GCF, four terms, trinomials, and difference of perfect square techniques.
24. solve quadratic equations by factoring and using the quadratic formula.
25. simplify rational expressions.
26. simplify radical expressions.
27. perform operations with radical expressions: add, subtract, multiply, and divide.
28. rationalize a denominator with one and two-terms in the denominator.
29. solve simple radical equations and check for extraneous solutions.
30. solve application problems using the Pythagorean Theorem.
31. identify graphs of basic functions: linear, quadratic, absolute value, and square root.
32. graph functions using a table of values and features.
33. use function notation and evaluate functions; determine the domain and range of a function.

1) Fractions: Reducing, adding and subtracting, multiplying and dividing.

2) Translating: Sentences into Algebraic Expressions and Equations, then simplifying and solving them.

3) Solving: Equations containing one variable.

You can do this from home by selecting any of the aforementioned topics on the math-tutorial websites listed below; there you will find mini-lectures, worked problems, practice problems and helpful tips.

http://math.com/homeworkhelp/HotSubjects_fractions.html
http://www.purplemath.com/modules/translat.htm
http://www.coolmath.com/
 

Review of these topics will prepare you to be successful in the first four weeks when you are getting situated and accustomed to your new environment.