Simplify and Evaluate Algebraic Expressions. • Identify an Equation A

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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 . .

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