OFFICE LOCATION: Upstairs in the Library; 251-7700,
OFFICE HOURS: As posted at the office
PREREQUISITE(S): A minimum score of 31 on the
Algebra Test of the COMPASS, or16 on the ACT test, or credit in Introductory
Algebra with a grade
of C or above .
AND MATERIALS: Intermediate Algebra, Tenth Edition, Lial/Hornsby/McGinnis
DESCRIPTION: This course is designed to survey the basic topics in algebra
will enable the student to enter a course in college algebra.
EXPECTED LEARNER OUTCOMES: Upon completion of this course, the student will be able to:
1. Add, subtract, multiply and divide signed numbers.
2. Solve equations and inequalities.
3. Add, subtract, multiply and divide polynomial expressions.
4. Factor polynomial expressions.
5. Simplify and solve rational expressions & equations.
6. Simplify and solve radical expressions & equations.
7. Solve quadratic equations and inequalities.
8. Graph linear & quadratic equations and inequalities.
& ACTIVITIES: Unit I Review of the Real Number System
Unit II Linear Equations , Inequalities, & Applications
Unit III Graphs, Linear Equations, & Functions
Unit IV Systems of Linear Equations
Unit V Exponents, Polynomials, & Polynomial Functions
Unit VI Factoring
Unit VII Rational Expressions & Functions
Unit VIII Roots, Radicals, & Root Functions
Unit IX Quadratic Equations, Inequalities, and Functions
Unit X Inverse, Exponential, & Logarithmic Functions
OUTCOMES: The semester grade will be determined by tests and homework as
shown in the following table.
90-100% = A
80- 89% = B
70- 79% = C
60- 69% = D
0- 59% = F
TESTING: 1. Students demonstrate the required
behavior on written
examinations over the objectives.
2. No "retest" examinations will be given. 3. Exams are to be taken at the time specified.
HOMEWORK: 1. Homework will be assigned to help the
student learn the
2. Homework is due at the time specified by the instructor. Late homework will not be accepted.
POLICY: Students are expected to attend all classes.
CONDUCT: 1. Behavior that interferes with the learning process will not be
2. Dishonest work will result in an F for the course.
3. No cell phones or electronic music devices are allowed
during class time. Calculators are permitted for some
assignments, if they are not cell phones.
ACTIVITIES: Day 1 Pretest/Syllabus
Day 2-3 Basic Concepts & Operations on Real Numbers
Exponents, Roots, & Order of Operations
Properties of Real Numbers
Day 4-7 Linear Equations in One Variable & Formulas
Applications of Linear Equations
Linear Inequalities in One Variable
Set Operations & Compound Inequalities
Absolute Value Equations & Inequalities
Day 8 Test
Day 9-11 Rectangular Coordinate System & Slope of a Line
Linear Equations & Inequalities in Two Variables
Intro to Functions and Variation
Day 12 Test
Day 13-14 Systems of Linear Equations in Two Variables
Systems of Linear Equations in Three Variables
Applications of Systems
Solving Systems by Matrix Methods
Day 15 Test
Day 16-18 Integer Exponents and Scientific Notation
Adding and Subtracting Polynomials
Multiplying and Dividing Polynomials
Day 19 Test
Day 20-22 GCF & Factoring by Grouping
Factoring Trinomials & Special Factoring
Solving Equations by Factoring
Day 23 Test
Day 24-26 Rational Expressions & Multiplying & Dividing
Adding and Subtracting Rational Expressions
Equations with Rational Expressions & Graphs
Day 27 Test
Day 28-31 Radical Expressions & Graphs
Rational Exponents & Simplifying Radical Express.
Add, Subtract, Mult., & Divide Radical Expressions
Solving Equations with Radicals
Day 32 Test
Day 33-36 The Square Root Property & Completing the Square
The Quadratic Formula & Quadratic Equations
Formulas & Graphs of Quadratic Functions Parabolas
Quadratic & Rational Inequalities
Day 37 Test
Day 38-39 Inverse Functions, Exponential Functions
Logarithmic Functions, & Properties of Logarithms
Day 40 Final Test
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
3. Identify natural numbers, whole numbers, integers, rational, and irrational.
4. Apply the rules of addition, subtraction, multiplication and division to
5. Use the order of operation with real numbers.
6. Identify the use of the commutative, associative, identity, inverse, and
SOLVE EQUATIONS AND INEQUALITIES
7. Identify and solve linear equations using properties of
8. Translate sentences of a word problem into an equation, and then solve the
9. Solve a given formula orliteral equation for a specified variable.
10. Solve problems involving geometric figures, percentages, uniform motion, and
11. Solve and graph inequalities on a number line.
12. Solve compound inequalities involving and and or statements.
13. Solve equations involving absolute value.
ADD, SUBTRACT, MULTIPLY AND DIVIDE POLYNOMIAL EXPRESSIONS
14. Apply the rules of exponents for any situation.
15. Use zero and negative numbers in exponents.
16. Express numbers in scientific notation.
17. Identify terms and coefficients.
18. Learn the vocabulary for polynomials.
19. Calculate the sum or difference of polynomials.
20. Multiply any polynomial situation.
FACTOR POLYNOMIAL EXPRESSIONS
21. Factor out the greatest common factor.
22. Factor by grouping.
23. Factor any trinomial regardless of the lead coefficient.
24. Factor trinomials by substitution.
25. Identify and factor perfect square trinomials.
26. Factor the difference of two squares.
27. Factor the sum or difference of two cubes.
28. Apply a general strategy to factor polynomials systematically.
29. Solve certain quadratic equations by factoring.
30. Solve applied problems that lead to quadratic equations.
SIMPLIFY AND SOLVE RATIONAL EXPRESSIONS
31. Find the values of a variable for which a rational
expression is undefined.
32. Express rational expressions in lowest terms.
33. Multiply and divide rational expressions.
34. Rewrite rational expressions with the least common denominator.
35. Add and subtract rational expressions regardless of the denominators.
36. Simplify complex fractions.
37. Divide a polynomial by a monomial or by a polynomial with at least two
38. Divide a polynomial by a polynomial of the form x-b using synthetic
39. Evaluate a polynomial using the remainder theorem.
40. Solve equations involving rational expressions.
41. Solve word problems about distance, work, and variation using rational
SIMPLIFY AND SOLVE RADICAL EXPRESSIONS
42. Find square roots and principal square roots.
43. Find principal nth roots.
44. Use exponent properties to simplify expressions with rational exponents.
45. Simplify radical expressions and quotients.
46. Multiply radicals and divide radicals, and simplify where possible.
47. Add and subtract radical expressions.
48. Rationalize denominators.
49. Simplify radical expressions with sums, products, and quotients.
50. Use a conjugate to rationalize a denominator.
51. Solve equations with radicals.
52. Identify extraneous solutions.
SOLVE QUADRATIC EQUATIONS AND INEQUALITIES
53. Express square roots to negative numbers in terms of i.
54. Add, subtract, multiply and divide complex numbers.
55. Solve quadratic equations using the square root property.
56. Solve quadratic equations by completing the square.
57. Solve quadratic equations by using the quadratic formula.
58. Use the discriminant to determine the nature of the solutions of a quadratic
59. Calculate the sum and product of roots to determine the validity of
60. Solve fractional equations and radical equations that lead to quadratic
61. Solve quadratic inequalities.
GRAPH LINEAR EQUATIONS AND INEQUALITIES
62. Write a solution as an ordered pair.
63. Complete ordered pairs for a given equation.
64. Plot ordered pairs.
65. Find the midpoint and distance between two points.
66. Find x and y intercepts for a line.
67. Graph linear equations.
68. Find and interpret the slope of a line.
69. Use slope to determine the planar relationship of two lines.
70. Write the equation of a line regardless of supplied information.
71. Solve problems involving the equations of parallel and perpendicular lines.
72. Graph linear inequalities.
73. Solve problems involving direct and inverse variation.
This syllabus is subject to revision with prior
notification to the student by the
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