MOHAWK VALLEY COMMUNITY COLLEGE UTICA and ROME, NEW YORK COURSE OUTLINE MA 099 Introduction to Elementary Algebra Prepared by Alex Haines, July 2014 COURSE OUTLINE Title: Introduction to Elementary Algebra Catalog Number: MA 099 Contact Hours: 1 Practicum Hours: 0 Credit Hours: 0 Prerequisite: MA 090 Catalog Description: This course provides the skills necessary for the transition from MA090 for MA115 or MA171. Operation properties, multi-step equations, polynomials, and graphing lines are covered. Attendance Policy: Course Repetition: 0 Major Topics: For each of the following topics the student will: Topic 1. Algebraic Expressions and Linear Equations 1.1 Simplify algebraic expressions using the operations of addition and subtraction and distribution of a constant over an expression. 1.2 Evaluate algebraic expressions. 1.3 Evaluate formulas, including when the desired variable is not isolated. 1.4 Determine solutions to first degree equations by applying the addition and multiplication properties of equations. 1.5 Translate given verbal sentences into equations and solve the resulting equations. Topic 2. Lines 2.1 Graph ordered pairs on a rectangular coordinate system. 2.2 Determine solutions of given linear equations in two variables. 2.3 Graph solutions of given linear equations in two variables on a rectangular coordinate system. 2.4 Recognize and graph horizontal and vertical lines from given equations. 2.5 Determine the x and y-intercepts of given linear equations in two variables. 2.6 Determine and interpret the slopes of lines given two points on the line and/or given the equation of the line. 2.7 Determine an equation of a line given a point and the slope and/or given the graph of a linear equation. Topic 3. Polynomials 3.1 Use the Rules of Exponents to simplify an expression. 3.2 Add and subtract polynomials 3.3 Multiply a monomial by a polynomial, a binomial by a binomial, and divide a polynomial by a monomial. 3.4 Factor the Greatest Common Factor from a polynomial. Teaching Guide Title: Introduction to Elementary Algebra Catalog Number: MA099 Contact Hours: 1 Practicum Hours: 0 Credit Hours: 0 Prerequisite: MA090 Catalog Description: Text: This course provides the skills necessary for the transition from MA090 for MA115 or MA171. Operation properties, multi-step equations, polynomials, and graphing lines are covered. Prealgebra and Introductory Algebra, (Custom), Wright: Hawkes Learning Systems/Quant Systems Inc. 2012 MVCC Supplement written by Anna Radlowski and bundled with the text book. Chapter 5 4Hours 5.1 Simplifying and Evaluating Algebraic Expressions 5.2 Translating English Phrases and Algebraic Expressions 5.3 Solving Linear Equations: x+b=c and ax=c 5.4 Solving Linear Equations: ax+b=c 5.5 Solving Linear Equations: ax+b=cx+d 5.6 Applications: Number Problems and Consecutive Integers 5.7 Applications: Percent Problems 5.8 Working with Formulas 5.9 Applications: Distance – Rate – Time, Interest, Mean, Cost – OMIT Chapter 6 6.1 The Cartesian Coordinate System 6.2 Graphing Linear Equations in Two Variables 6.3 The Slope – Intercept Form 6.4 The Point – Slope Form 6.5 Linear Inequalities in One or Two Variables – OMIT 6.6 Introduction to Functions and Function Notation - OMIT 4 Hours Chapter 7: Exponents, Polynomials, and Factoring Techniques 7.1 Exponents 5 Hours 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 7.10 7.11 Introduction to Polynomials Addition and Subtraction with Polynomials Multiplication with Polynomials Special Products of Polynomials – OMIT Greatest Common Factor (GCF) and Factoring by Grouping Factoring Trinomials: x2+bx+c – OMIT Factoring Trinomials: ax2+bx+c – OMIT Special Factoring Techniques – OMIT Solving Quadratic Equations by Factoring – OMIT Applications of Quadratic Equations – OMIT The teaching guide leaves 1 hour for in class assessment. There will be a two hour proctored comprehensive final examination. Study guides are prohibited on the final exam according to math department policy.