Part 1 The real numbers and their properties: the real numbers; fractions; addition and subtraction of real numbers; multiplication and division of real numbers; exponential expressions and the order of operations; algebraic expressions; properties of the real numbers; using the properties to simplify expressions. Part 2 Linear equations and inequalities in one variable: the addition and multiplication properties of equality; solving general linear equations; identities, conditional equations and inconsistent equations; formulas; translating verbal expressions into algebraic expressions; number, geometric and uniform motion applications; discount, investment and mixture applications; inequalities; solving inequalities and applications. Part 3 Linear equations in two variables and their graphs: graphing lines in the coordinate plane; slope; equations of lines in slope-intercept and standard form; the point-slope form; applications of linear equations; introduction to functions (optional); variation. Part 4 Polynomials and exponents: addition and subtraction of polynomials; multiplication of polynomials; multiplication of binomials; special products; division of polynomials; positive integral exponents; negative exponents and scientific notation. Part 5 Factoring: factoring out common factors; factoring the special products and factoring by grouping; factoring ax2+bx=+c with a=1; factoring ax2+bx+c with a=/1; the factoring strategy; solving quadratic equations by factoring. Part 6 Rational expressions: reducing rational expressions; multiplication and division; finding the least common denominator; addition and subtraction; complex fractions; solving equations with rational expressions; applications of ratios and proportions; applications of rational expressions. Part 7 Systems of linear equations and inequalities: the graphing method; the substitution method; the addition method; graphing linear inequalities in two variables; graphing systems of linear inequalities. Part 8 Power and roots: roots, radicals and rules: simplifying square roots; operations with radicals; solving equations with radicals and exponents; fractional exponents. Part 9 Quadratic equations and quadratic functions: the square root property and factoring; completing the square; the quadratic formula; applications of quadratic equations; complex numbers; quadratic functions and their graphs; appendices.
