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Topics in Algebra I

•Review signed numbers and arithmetic operations
•Review fractions, decimals and percents
•Order of Operations
•Number sense
•Properties of real numbers
•The coordinate plane
•Graphing linear equations
•Graphing linear inequalities
•Finding the equation of a line
•Solving linear equations and inequalities and their applications
•Solving Systems of Linear Equations and Inequalities (2 equations with 2 unknowns) by graphing and analytically and application problems
•Absolute value equations and inequalities
•Rules of Exponents
•Scientific Notation
•Introduction to polynomials
•Polynomial Operations
•Factoring Techniques – Finding the GCF, factoring by grouping, factoring trinomials, factoring the difference of squares and perfect square trinomials
•Solving quadratic equations using the quadratic formula, square root method and factoring
•Solving quadratic inequalities
•Recognizing and graphing simple quadratic equations
•Operations with elementary Rational expressions and solving equations with rational expressions
•Square roots, solving elementary equations with square roots, finding conjugates and rationalizing the denominator
•Ratios, proportions and similarity
•Measures of central tendency
•Elementary statistical graphs
•Evaluating Formulas and literal equations
•Applications: motion problems, consecutive integers, Pythagorean Theorem, and others

Optional Topics

•Distance formula
•Completing the square
•Graphing calculator
•Set-builder notation; union and intersection of sets