MATH M01: Elementary Algebra

Course Objectives (COR)

 Simplify and evaluate algebraic expressions.  Identify an equation as either conditional, a contradiction, or an identity and determine whether a number satisfies a given equation in one variable.  Solve first-degree equations in one variable and check the solution.  Solve applied problems involving first-degree equations in one variable.  Solve first-degree inequalities in one variable.  Find the x- and y-intercepts of the graph of a linear equation.  Find the slope of the line passing through two given points and determine the slope of a line given its graph.  Graph a linear equation.  Determine the slope and y-intercept of a line given its equation.  Write an equation for a line given two points or given one point and the slope.  Solve systems of linear equations using each of the following methods: graphing method, addition (elimination) method, and the substitution method and solve application problems by solving a system of linear equations in two variables.  Simplify expressions involving integer exponents using the properties and rules of exponents including the definitions of zero and negative exponents.  Convert a number written in standard notation to scientific notation and vice versa.  Determine the degree of a polynomial and simplify, add, subtract, multiply, and divide polynomials.  Factor a polynomial using the greatest common factor and the grouping method, factor trinomials, and use the difference of squares.  Solve quadratic equations by factoring.  Reduce rational expressions to lowest terms and multiply, divide, add, and subtract rational expressions.

Course Learning Outcomes (CLO)  Students completing this course will be able to solve a linear equation of the form ax b  cx  d .  Students completing this course will be able to factor a quadratic expression of the form x2  bx c .  Students completing this course will be able to graph a line of the form ax by c .