MT 006 - Basic Algebra Review

Credit Hours: 3 Not for degree credit

MT006 is intended for students who need a formal review of basic algebraic concepts and whose required mathematics course for their degree is MT111, MT112, or MT116 (Non-STEM majors). By studying the following topics, students will develop, refine, and strengthen problem-solving skills and be able to: perform operations on real numbers and algebraic expressions including polynomials; solve linear equations, inequalities, and systems of linear equations, define and apply the properties of exponents; define and evaluate functions; graph linear equations with emphasis on slope as a rate of change and intercepts. Real-world applications will be introduced throughout the course.

Course Outcomes
Upon completion of this course, the student will be able to:

perform fundamental operations (addition, subtraction, multiplication, division) with real numbers;
demonstrate an understanding of absolute value, inequalities, additive and multiplicative inverse, associate, commutative distributive properties, and order of operations;
evaluate formulas; solve linear equations, linear inequalities, and ratio proportion problems;
apply the properties of exponents;
perform fundamental operations with polynomials;
interpret graphs such as bar graphs, histograms, and scatter plots
define a function; use function notation to represent a function numerically and graphically
sketch and interpret the graphs of linear equations
determine the equation of a line using the slope-intercept form (the point-slope form is optional)
solve systems of linear equations by graphing, addition, and substitution methods
solve basic square root equations (optional)
solve quadratic equations using the quadratic formula (optional)
demonstrate a “sense of numbers” by determining if a mathematical solution is “reasonable;”
present organized written work and show a check to avoid careless mistakes;
perform mental arithmetic, use a calculator effectively to solve and check mathematical calculations and determine when each is appropriate; and
read critically and think logically when solving application problems.

Technology Objectives:

use the arithmetic operations on the scientific calculator to solve algebraic and real-world algebraic problems;
demonstrate an understanding of the keys:

√n ,x²,y^x,π,±,%, ( ) 2^nd key/ inv key; and
demonstrate an understanding of the order of operations on the scientific calculator.

Prerequisites: MT 003 or placed into MT 006.
F/S (C, N, S)

This course does not apply toward an associate’s degree.