Elementary Algebra

OBJECTIVES

Upon completion of the course the student will be able to:

1. Use variables in place of numbers.
2. Change verbal statements into algebraic statements.
3. Recognize sequence of fundamental operations .
4. Evaluate algebraic expressions.
5. Simplify algebraic expressions.

6. Find roots of a linear equations .
7. Recognize false, conditional and identity statements.
8. Define absolute value.
9. Add signed numbers.
10. Subtract signed numbers.

11. Multiply signed numbers.
12. Divide signed numbers.
13. Evaluate expressions containing signed numbers.
14. Use basic properties of integer exponents.
15. Evaluate algebraic expressions containing exponents.

16. Define term, factor, and expressions.
17. Define polynomial.
18. Add and subtract like terms .
19. Use grouping symbols .
20. Multiply a polynomial by a monomial .

21. Multiply a polynomial by a polynomial .
22. Divide a polynomial by a polynomial.
23. Square a binomial .
24. Factor a trinomial of the form .
25. Factor a trinomial of the form .

26. Factor the difference of two squares .
27. Remove parentheses in equations.
28. Clear fractions to solve equations.
29. Convert words to algebraic equations.
30. Solve inequalities.

31. Graph linear inequalities .
32. Graph a linear equation.
33. Find the slope of a line .
34. State the slope- intercept form of a line.
35. Use the slope-intercept form to find the equation of a line .

36. Solve systems of linear equations by graphing.
37. Solve systems of linear equations by addition and substitution .
38. Reduce algebraic fractions to lowest terms.
39. Add, subtract, divide and multiply fractional expressions.
40. Simplify complex fractions .

41. Use basic properties of integer exponents.
42. Simplify radicals .
43. Solve quadratic equations by factoring.
44. Solve quadratic equations by completing the square.
45. Use the quadratic formula .

46. Graph quadratic functions.
47. Solve an assortment of application (word) problems, e.g., number problems, money
(salary), geometry problems (area, length, etc.), motion (rate, time, and distance).