# Introductory Algebra

Course Description: This course establishes a foundation in algebraic concepts and problem solving. Topics include signed numbers, exponents, order of operations , simplifying expressions, solving linear equations and inequalities , graphing, formulas, polynomials, factoring, and elements of geometry. Upon completion, students should be able to apply the above concepts in problem solving using appropriate technology.

Prerequisites: MAT 060

Co-requisites: RED 080

Required Textbooks: Elementary Algebra, 2nd Edition, by Carson, Gillespie, and Jordan; Pearson Addison Wesley Publishing Co., 2005.

Other required materials/software:
You may use a calculator. If moving on to MAT 161 OR Higher, you may consider a TI-83

Program/Course Learning Objectives:
A student who completes this course should be able to

1.Evaluate ex pressions using the order of operations.
2.Solve linear equations and inequalities.
3.Graph Fractions /partial-solutions-to-homework.html">solutions to inequalities .
4.Add, subtract, multiply, and divide polynomials.
5.Solve applications involving a variety of applications.
6.Factor polynomials.

Courses numbered below 100 are developmental courses. The following grades are assigned for developmental courses: A, B, C, or U. Students who receive a grade of “U” (Unsatisfactory Progress) will be required to re-take the course.

Developmental course grades are not counted as credit towards graduation, nor are they calculated into the student’s cumulative grade point average (GPA).

 Numerical Grade Letter Grade Equivalent 93 -100 A – Excellent 85 - 92 B – Good 77 - 84 C – Average 0 - 76 U – Unsatisfactory Progress

Course Requirements/ Methods of Evaluation :

 MIDTERM/FINAL 10% EACH CHAPTER TEST AVERAGE 60% HOMEWORK CHECK 10% NOTEBOOK CHECK 10%

Make-up Policies:

•No major test grade will be dropped.
•An “I” (Incomplete) grade may be given at the discretion of the instructor when all course requirements have not been satisfied. An “I” grade converts automatically to a “U” if all missing work is not satisfactorily completed within 8 weeks after the end of a 16 week term, or 4 weeks after the end of an 8 week term.

Student Attendance Policy:

Each student is expected to attend class regularly – at least 80 percent of all scheduled contact hours. If absences exceed 20 percent, the faculty member may drop the student from the course at any point during the term. More information on attendance may be found at
For this specific course, refer to the Course Procedures section of the syllabus.

Student Code of Conduct:

Students are expected to conduct themselves in accordance with generally accepted standards of scholarship and conduct. The purpose of this code is not to restrict student rights but to protect the rights of individuals in their academic pursuits. Students should review the Student Code of Conduct in the “Student Rights” section of the FTCC Catalog at the Fayetteville Technical Community College website:

The Mathematics Division expects all students to exhibit academic integrity. It considers academic dish onesty to be a serious offense. Academic dishonesty is defined in the Student Handbook as “taking or acquiring possession of any academic material (test information, research papers, notes, etc.) from a member of the College staff or student body without permission; receiving or giving help during tests; submitting papers or reports (that are supposed to be original work) that are not entirely the student’s own, except in cases of group assignments; not giving credit for others’ work (plagiarism).” If a student is caught cheating on a test or other assignment, the student will receive a zero on that test or assignment. If a student is caught cheating on the final exam, the student will receive a failing grade for the course. A student found guilty of academic dishonesty additionally may be placed on probation or suspension, or expelled from FTCC.

Americans with Disabilities Act:

Students with disabilities who believe that they may need accommodations in this class are encouraged to contact the Office of Special Populations, located in Room 143 of the Student Center, as soon as possible to better ensure that such accommodations are implemented in a timely fashion. You may also contact the Special Populations Coordinator, at (910) 678-8479. More information may be found in the college catalog:

Nondiscrimination Statement:

Fayetteville Technical Community College does not practice nor condone discrimination in any form against students, employees, or applicants on the grounds of race, color, national origin, religion, sex, age, disability or political affiliation. Fayetteville Technical Community College commits itself to positive action to secure equal opportunity regardless of those characteristics. View the full Nondiscrimination Statement at

Safety and Security:

The college is very concerned about protecting its students, employees, and visitors at all campus locations. Students can help the college protect everyone by reporting immediately any threats received or heard to their instructors, security, or any college staff member. The college always takes steps to protect students who have reason to believe that they are in any type of danger. Also, students should remember to keep their belongings in secure places and to report any suspicious activities to college officials. “Together, we can help our campus to be a safer place.”

 Security – Main Campus: 678-8433 Cell (After 5 p.m. and weekends): 624-5959 Beeper (After 5 p.m. and weekends): 825-6924 Or use the emergency call boxes located around campus

Outline of Instruction

I. Foundations of Algebra
A. Number sets and the structure of algebra
B. Fractions
C. Adding and subtracting real numbers; properties of real numbers
D. Multiplying and dividing real numbers; properties of real numbers
E. Exponents, roots, and order of operations
F. Translating word phrases to expressions
G. Evaluating and rewriting expressions

II. Solving Linear Equations and Inequalities
A. Equations, formulas, and the problem-solving process
C. The multiplication principle
D. Applying the principles to formulas
E. Translating word sentences to equations
F. Solving linear inequalities

III. Problem Solving
A. Ratios and proportions
B. Percents
C. Problems with two or more unknowns
D. Rates
E. Investment and mixture

IV. Graphing Linear Equations and Inequalities
A. The rectangular coordinate system
B. Graphing linear equations
C. Graphing using intercepts
D. Slope-Intercept form
E. Point-Slope form

V. Polynomials
A. Exponents and scientific notation
B. Introduction to polynomials
D. Exponent rules and multiplying monomials
E. Multiplying polynomials; special products
F. Exponent rules and dividing polynomials

VI. Factoring
A. Greatest common factor and factoring by grouping
B. Factoring trinomials of the form x^2+bx+c
C. Factoring trinomials of the form ax^2+bx+c where a≠1
D. Factoring special products
E. Strategies for factoring
F. Solving quadratic equations by factoring

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