MAT 092  Elementary Algebra 3 Credits, 3 Contact Hours 3 lecture periods 0 lab periods
Includes translating written statements into algebraic expressions, solving linear equations and inequalities, graphing linear equations, and solving systems of equations in two or three variables. Also includes integer exponents, scientific notation, polynomial operations, and factoring of polynomials.
Prerequisite(s): Within the last three years: ICS 081 with a grade of B or better, or MAT 086 with a grade of C or better, or completion of module 15 in MAT 089A or MAT 089B , or satisfactory score on the Mathematics assessment test. Corequisite(s): MAT 092LB
Course Learning Outcomes
 Solve multistep linear equations including decimal and fractional coefficients and solutions.
 Graph linear equations using a variety of techniques.
 Solve linear systems using graphical and algebraic techniques.
 Factor polynomials using a variety of techniques.
Performance Objectives:
 Express written statements algebraically.
 Solve linear equations.
 Solve linear inequalities and graph solutions on the number line.
 Graph linear equations.
 Solve systems of linear equations in two variables graphically and algebraically.
 Solve systems of linear equations in three variables algebraically.
 Apply the laws of exponents to expressions with integer exponents.
 Perform the basic operations on polynomials.
 Factor polynomials using multiple techniques.
Optional Objectives:
 Simplify, add, subtract, multiply, and divide elementary rational expressions; solve rational equations that result in linear equations.
 Simplify numerical squareroots.
 Solve quadratic equations by factoring, taking square roots, and the quadratic formula
Outline:
 Translate Written Statements Into Algebraic Expressions
 Linear Equations
 Simplify and solve algebraically
 Applications
 Linear Inequalities
 Solve
 Graph on the number line
 Applications
 Lines
 Cartesian coordinate system
 Midpoint of a line segment
 Slope and intercepts
 Equations
 Vertical and horizontal
 Standard form
 Slopeintercept form
 Pointslope form
 Parallel and perpendicular
 Systems of Linear Equations in Two Variables
 Graphing method
 Substitution method
 Elimination method
 Applications
 Systems of Linear Equations in Three Variables
 Substitution method
 Elimination method
 Applications
 Integer Exponents
 Laws of exponents
 Negative exponents
 Scientific notation
 Polynomials
 Terminology
 Operations including addition, subtraction, multiplication, and division (including long division)
 Factoring Polynomials
 Greatest common factor
 Factor by grouping
 Trinomials
 Difference of squares
 Difference/sum of cubes
 Optional Topics
 Elementary Rational Expressions
 Avoid division by zero
 Simplification
 Basic operations
 Solve rational equations which result in linear equations
 Applications
 Square Roots
 Evaluate
 Simplify
 Solve radical equations which result in linear equations
 Quadratic Equations
 Solve by factoring
 Solve by extracting square roots
 Solve by using quadratic formula
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