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 Depdendent Variable

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 Dependent Variable

 Number of inequalities to solve: 23456789
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# INTRODUCTORY ALGEBRA

This syllabus is subject to revision with prior notification to the student by the
instructor.

COMPETENCIES:

 ADD, SUBTRACT, MULTIPLY AND DIVIDE SIGNED NUMBERS

1. Apply the rules of addition, subtraction, multiplication and division to fractions.
2. Apply the rules of addition, subtraction, multiplication and division to decimals.
3. Convert percents to decimals and vice versa.
4. Know the meaning of the five inequalities.
5. Find the value of algebraic expressions, given values for the variables.
6. Identify natural numbers, whole numbers, integers, rational, and irrational.
7. Apply the rules of addition, subtraction, multiplication and division to signed numbers.
8. Use the order of operation with real numbers.
9. Interpret words and phrases that indicate subtraction, multiplication and division.
10. Evaluate expressions that use variables.
11. Simplify numerical expressions.
12. Translate sentences into equations.
13. Identify the use of the commutative, associative, identity, inverse, and distributive
properties.

 SOLVE EQUATIONS AND INEQUALITIES

14. Identify and solve linear equations by using the properties of equality.
15. Translate sentences of a word problem into a equation, and then solve the problem.
16. Use a formula to solve a word problem.
17. Solve ratio and proportion problems.
18. Graph inequalities on a number line.
19. Use the addition and multiplication property of inequality.

 ADD, SUBTRACT, MULTIPLY AND DIVIDE POLYNOMIAL EXPRESSIONS

20. Apply the rules of exponents for any situation.
21. Use zero and negative numbers as exponents.
22. Express numbers in scientific notation.
23. Identify terms and coefficients.
24. Know the vocabulary for polynomials.
25. Calculate the sum or difference of polynomials.
26. Multiply any polynomial situation.
27. Divide a polynomial by either a monomial or polynomial.

 FACTOR POLYNOMIAL EXPRESSIONS

28. Identify prime numbers and prime factorization.
29. Factor out the greatest common factor.
30. Factor by grouping.
31. Factor any trinomial regardless of the lead coefficient.
32. Factor the difference of two squares.
33. Factor the sum or difference of cubes.
34. Solve quadratic equations by factoring.
35. Solve word problems involving area, perimeter, and consecutive integers.

 SIMPLIFY AND SOLVE RATIONAL EXPRESSIONS

36. Find the values of a variable for which a rational expression is undefined.
37. Write rational expressions in lowest terms.
38. Multiply and divide rational expressions.
39. Rewrite rational expressions with the least common denominator.
40. Add and subtract rational expressions regardless of the denominators.
41. Simplify complex fractions.
42. Solve equations involving rational expressions.
43. Solve word problems about distance, work, and variation using rational expressions.

 GRAPH LINEAR EQUATIONS

44. Write a solution as an ordered pair.
45. Complete ordered pairs for a given equation.
46. Plot ordered pairs.
47. Find x and y intercepts for a line.
48. Graph linear equations.
49. Fine the slope of a line.
50. Use slope to determine the planar relationship of two lines.
51. Write the equation of a line regardless of supplied information.
52. Graph linear inequalities.

 SIMPLIFY AND SOLVE RADICAL EXPRESSIONS

53. Find square roots.
54. Use the Pythagorean formula.
55. Simplify radical expressions and quotients.