Topics in Algebra

• 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 • Slope • 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