MAT 095  PreCollege Algebra 5 Credits, 5 Contact Hours 5 lecture periods 0 lab periods
Basic and intermediate algebra concepts. Includes translating written statements into algebraic expressions, linear equations, linear inequalities, graphing, integer exponents, and polynomials. Also includes factoring, rational and radical expressions and equations, square roots, quadratic equations, functions, exponential and logarithmic expressions.
Prerequisite(s): Within the last three years: ICS 081 with an A, or MAT 086 with a B or better, or completion of module 22 in MAT 089A or MAT 089B , or required score on the Mathematics assessment test. Information: Access to a scanner required for Math classes taken online.
Course Learning Outcomes
 Solve linear rate of change application problems.
 Solve linear 2x2 system application problems.
 Solve absolute value inequalities involving linear equations.
 Solve rational equations with at least one factorable seconddegree polynomial in the denominator.
 Solve radical equations that result in a quadratic equation solvable by factoring.
 Use the quadratic formula to solve quadratic equations that comes from an application problem.
Performance Objectives:
 Find distance and midpoint between two points.
 Calculate slopes of lines, determine equations of lines and graph lines.
 Solve and graph linear inequalities and compound linear inequalities and graph in 1D and 2D.
 Solve systems of two and three linear equations and interpret geometrically.
 Solve absolute value equations and inequalities.
 Factor polynomials and solve related equations.
 Perform operations on square root expressions.
 Solve quadratic equations by factoring, using the square root property, completing the square, and using the quadratic formula; interpret the discriminant; and graph quadratic equations.
 Perform operations on rational expressions, and solve rational equations that yield quadratic equations.
 Apply exponent rules to integer and rational exponents; convert between rational exponents and radical notation; and solve radical equations.
 Evaluate exponential and logarithmic functions, convert between exponential and logarithmic forms, and graph exponential functions.
 Define and identify functions, determine their domains, and use function notation.
Outline:
 Distance and Midpoint Between Two Points
 Distance calculations
 Midpoint calculations
 Lines in the Plane
 Determine slopes of lines
 Write the equation of a line
 Given two points
 Given a point and a slope
 Give a point and a parallel or perpendicular line
 Graph lines
D. Applications
 Inequalities
 Interval notation
 Compound inequalities
 Linear inequalities with two variables
 Applications
 Systems of Linear Equations
 Graphical representation of systems with two variables
 Elimination and substitution methods for two variables
 Geometrical interpretation of consistent, and inconsistent systems
 Applications for two variables
 Algebraic solution of systems with three variables
 Geometrical interpretation of consistent, inconsistent and independent systems of three variables
 Applications for three variables
 Absolute Value
 Solve equations
 Solve inequalities
 Polynomials
 Factoring
 Grouping
 Trinomials
 Substitution methods
 Difference of squares, and sum and difference of cubes
 Solve equations by factoring
 Square Roots and nth Roots
 Evaluate
 Simplify
 Perform operations
 Quadratic Equations and Functions
 Completing the square
 Quadratic formula and the discriminant
 Graphs of quadratic equations
 Applications
 Rational Expressions and Equations
 Reduce and build
 Basic operations (addition, subtraction, multiplication and division)
 Simplify complex rational expressions
 Solve rational equations including those involving quadratic equations
 Applications
 Radical and Exponential Expressions and Equations
 Laws of exponents for integer exponents
 Scientific notation
 Conversion between rational exponents and radical notation
 Laws of exponents for rational exponents
 Addition, subtraction, multiplication and division of radical expressions
 Rationalizing numerators and denominators
 Radical equations
 Applications
 Exponents and Logarithms
 Conversion between exponential and logarithmic forms
 Evaluation of exponential and logarithmic functions
 Graphing exponential functions
 Functions
 Definition
 Identification
 Notation
 Domain
Effective Term: Spring 2020
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