Course Descriptions & Syllabi

Course Descriptions & Syllabi

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Note: some or all of the courses in the subjects marked as "Transfer" can be used towards a transfer degree: Associate of Science and Arts or Associate of Engineering Science at DACC. Transferability for specific institutions and majors varies. Consult a counselor for this information.

Areas of Study | | MATH108 syllabus

COURSE TITLE:Intermediate Algebra
DELIVERY MODE:Online, In-Person

A study of the properties of real numbers, the properties of exponents and radicals, the arithmetic of polynomial and rational expressions, linear and quadratic equations and inequalities, systems of linear equations, and an introduction to functions. Problem-solving skills and critical-thinking skills are emphasized. Face to face sections meet for 4 hours of combined lecture/lab.

Place into MATH108 with approved and documented math placement test scores or by completing MATH107 with a grade of C or better.

  • The student should obtain a 60% competency as measured by examination to receive a passing grade
  • A student who is taking this course as a prerequisite for another math course should receive a 70% competency before taking the succeeding course

Upon completion of this course, students will be able to:
  • Use appropriate mathematical terminology
  • Apply algebraic processes to problems
  • To write math in exact symbolic forms
  • Complete basic arithmetic by hand. (Therefore, calculator usage and other technology is not allowed on quizzes and tests in Math 108 "with the exception of students with disabilities who have an approved accommodation." Students with a calculator exception will take quizzes and tests in the Assessment Center.)
  • Write and interpret set notation
  • Use scientific notation in calculating solutions to problems
  • Evaluate expressions involving real numbers and the operations of addition, subtraction, multiplication, division, and exponentiation (including the laws of exponents)
  • Identify the properties of the real number system and use these properties to simplify arithmetic and algebraic expressions
  • Use the rules of exponents to simplify expressions involving integral and rational exponents
  • Solve first and second degree equations and first degree inequalities, including systems of equations in two and three variables (including word/application problems), and solve equations involving radicals
  • Graph and write equations of lines
  • Define a function, identify the domain and range of a given function, use function notation, and interpret solutions obtained from functions
  • Apply arithmetic operations to polynomials and rational expressions, including radicals (addition, subtraction, multiplication, division, and factoring)
  • Add, subtract, multiply, divide, and simplify rational expressions, and simplify complex fractions
  • Change an exponential expression to its equivalent radical form, simplify a radical expression, apply the four basic operations to radical expressions

  • Review of Basic Algebra - 11 hours
    • Arithmetic of rational numbers
    • Properties of real numbers
    • Order of Operations
    • Properties of Exponents
    • Evaluating Expressions (including basic area and volume formulas)
    • Simplifying basic radicals
    • Scientific notation
  • Linear Equations & Inequalities - 9 hours
    • Solving linear equations in one variable
    • Applications of linear equations in one variable
    • Solving inequalities in one variable
    • Applications of linear inequalities in one variable
    • Absolute value equations
  • Graphs of Linear Equations - 4 hours
    • Coordinate Plane
    • Slope
    • Writing an equation of a line
    • Graphing linear equations
  • Systems of Linear Equations - 5 hours
    • Graphing systems of equations (2x2)
    • Solving systems of equations by substitution (2x2)
    • Solving systems of equations by addition/elimination (2x2 and 3x3)
  • Polynomials - 12 hours
    • Addition, Subtraction, & Multiplication of Polynomials
    • GCF of Polynomials
    • Factoring by Grouping
    • Factoring Trinomials
    • Special Cases of Factoring (Difference of Squares, Sum & Difference of Cubes)
    • Solving Quadratic Equations by Factoring
    • Solving Quadratic Equations by the Quadratic Formula
    • Solving Quadratic Equations by the Square Root Property
  • Functions - 3 hours
    • Definition of a Function
    • Domain and Range of a Function
    • Function Notation
    • Function Applications
  • Rational Expressions - 7 hours
    • Simplifying Rational Expressions
    • Multiplication & Division of Rational Expressions
    • Addition & Subtraction of Rational Expressions
    • Complex Fractions
    • Solving Equations with Rational Expressions
    • Applications of Rational Expressions
    • Direct and Inverse Variation
  • Radicals & Rational Exponents - 5 hours
    • Simplifying Radicals
    • Addition and Multiplication of Radicals
    • Rational Exponents
    • Solving Radical Equations
    • Complex Numbers (Optional)
  • Optional topics: (as time permits)
    • Statistics
    • Synthetic Division
    • Graphs of Nonlinear Functions
    • Completing the square
    • Define complex numbers
    • Apply four fundamental operations over the set of complex numbers
    • Solve equations with complex roots


MATH 108: Intermediate Algebra, by Anderson, Rayburn, York, 2018.

See bookstore website for current book(s) at


Grading Scale:
A- 90-100%
B- 80-89%
C- 70-79%
D- 60-69%


Membership in the DACC community brings both rights and responsibility. As a student at DACC, you are expected to exhibit conduct compatible with the educational mission of the College. Academic dishonesty, including but not limited to, cheating and plagiarism, is not tolerated. A DACC student is also required to abide by the acceptable use policies of copyright and peer-to-peer file sharing. It is the student’s responsibility to become familiar with and adhere to the Student Code of Conduct as contained in the DACC Student Handbook. The Student Handbook is available in the Information Office in Vermilion Hall and online at:

Any student who feels s/he may need an accommodation based on the impact of a disability should contact the Testing & Academic Services Center at 217-443-8708 (TTY 217-443-8701) or stop by Cannon Hall Room 103. Please speak with your instructor privately to discuss your specific accommodation needs in this course.

Fall 2019

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