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MAT 020 Elementary Algebra

This elementary algebra course is a review of solving and graphing linear equations and inequalities as well as systems of linear equations and inequalities, polynomials, factoring, rational expressions, radical expressions, and quadratic equations as applied to a variety of applications, including geometry.

Credits

4

Prerequisite

Prerequisite: SSC 100 or concurrent

See Course Syllabus

Course Number and Title:

MAT 020 Elementary Algebra

Campus Location

  • Dover
  • Georgetown
  • Stanton
  • Wilmington

Prerequisites

Prerequisite: SSC 100 or concurrent

Course Credits and Hours

4 credit(s)

4 lecture hours/week

0 lab hours/week

Course Description

This elementary algebra course is a review of solving and graphing linear equations and inequalities as well as systems of linear equations and inequalities, polynomials, factoring, rational expressions, radical expressions, and quadratic equations as applied to a variety of applications, including geometry.

Additional Materials

Basic calculator

Required Text(s)

Obtain current textbook information by viewing the campus bookstore - https://www.dtcc.edu/bookstores online or visit a campus bookstore. Check your course schedule for the course number and section.

Disclaimer

None

Core Course Performance Objectives (CCPOs)

  1. Solve linear equations and inequalities algebraically and graphically. (CCC 2, 6)
  2. Solve systems of linear equations and inequalities algebraically and graphically. (CCC 2, 6)
  3. Perform arithmetic operations on polynomial expressions. (CCC 6)
  4. Apply factoring techniques to simplify rational expressions. (CCC 6)
  5. Solve quadratic equations. (CCC 2, 6)
  6. Evaluate functions graphically and algebraically. (CCC 2, 6)

See Core Curriculum Competencies and Program Graduate Competencies at the end of the syllabus. CCPOs are linked to every competency they develop.

Measurable Performance Objectives (MPOs)

Upon completion of this course, the student will:

  1. Solve linear equations and inequalities algebraically and graphically.
    1. Use order of operations to solve linear equations and inequalities.
    2. Use linear equations and inequalities to solve a variety of application problems, including geometry.
    3. Determine the slope, x- and y-intercepts and the equation of a line.
    4. Graph linear equations.
    5. Analyze linear equations to determine whether graphical representations are parallel, perpendicular, or neither.
    6. Graph linear inequalities.
  2. Solve systems of linear equations and inequalities algebraically and graphically.
    1. Classify systems of linear equations as consistent, inconsistent, or dependent.
    2. Determine solution sets to systems of linear equations using substitution, elimination, and graphing methods.
    3. Use systems of linear equations to solve application problems.
    4. Solve systems of linear inequalities graphically.
  3. Perform arithmetic operations on polynomial expressions.
    1. Simplify exponential expressions using rules of exponents.
    2. Convert between standard and scientific notation.
    3. Multiply and divide numbers in scientific notation.
    4. Identify the degree and type of a polynomial expression.
    5. Add, subtract, multiply, and divide polynomial expressions.
  4. Apply factoring techniques to polynomial and rational expressions.
    1. Factor polynomial expressions using the greatest common factor (GCF).
    2. Factor polynomial expressions using grouping, trial and error, perfect squares, difference of squares, and sum/difference of cubes.
    3. Simplify rational expressions.
  5. Solve quadratic equations.
    1. Simplify radical expressions.
    2. Write quadratic equations in standard form.
    3. Apply the zero product property to quadratic equations.
    4. Use factoring, the square root theorem, and the quadratic formula to solve quadratic equations.
  6. Evaluate functions graphically and algebraically.
    1. Identify functions from graphs and sets of ordered pairs.
    2. Determine the domain and range of functions from graphs and sets of ordered pairs.
    3. Evaluate functions graphically and algebraically.
    4. Graph linear functions.

Evaluation Criteria/Policies

The grade will be determined using the Delaware Tech grading system:

90-100 = A
80-89 = B
70-79 = C
0-69 = F
Students should refer to the Catalog/Student Handbook for information on the Academic Standing Policy, the Academic Integrity Policy, Student Rights and Responsibilities, and other policies relevant to their academic progress.

Final Course Grade

Calculated using the following weighted average

Evaluation Measure

Percentage of final grade

  6 Tests (summative) (equally weighted)

75 %

     Homework (formative)

10 %

     Quizzes (formative)

10 %

Activities (formative)

5 %

TOTAL

100 %

Core Curriculum Competencies (CCCs are the competencies every graduate will develop)

  1. Apply clear and effective communication skills.
  2. Use critical thinking to solve problems.
  3. Collaborate to achieve a common goal.
  4. Demonstrate professional and ethical conduct.
  5. Use information literacy for effective vocational and/or academic research.
  6. Apply quantitative reasoning and/or scientific inquiry to solve practical problems.

Students in Need of Accommodations Due to a Disability

We value all individuals and provide an inclusive environment that fosters equity and student success. The College is committed to providing reasonable accommodations for students with disabilities. Students are encouraged to schedule an appointment with the campus Disabilities Support Counselor to request an accommodation needed due to a disability. The College's policy on accommodations for persons with disabilities can be found in the College's Guide to Requesting Academic Accommodations and/or Auxiliary Aids Students may also access the Guide and contact information for Disabilities Support Counselors through the Student Resources web page under Disabilities Support Services, or visit the campus Advising Center.

Minimum Technology Requirements

Minimum technology requirements for online, hybrid, video conferencing and web conferencing courses.

Academic Integrity

https://dtcc.smartcatalogiq.com/Current/Catalog/Academics/Academic-Integrity

Attendance

https://dtcc.smartcatalogiq.com/Current/Catalog/Search?q=attendance

Cell phone/Electronic Device

https://dtcc.smartcatalogiq.com/Current/Catalog/Student-Policy/Cell-Phone-and-Electronic-Device-Policy

Tuition Adjustment Policy

https://dtcc.smartcatalogiq.com/Current/Catalog/Financial/Tuition-Fee-Adjustment-Policy-Course-or-Semester-Withdrawal