Algebra
Linear inequalities in one variable
Linear inequalities in one variable; solving linear inequality; solution in graph-number line, interval notation, set-builder notation, addition, subtraction, multiplication and division properties of inequality; compound inequalities, union, intersection, or, and operations; absolute value equations and absolute value inequalities.
Linear equations in two variables
Linear equations in two variable; graphing; x- and y- intercepts; horizontal and vertical lines; slope of a line; parallel and perpendicular lines; equations of lines; standard for, slope-intercept form, and point-slope form; relation, domain and range; and functions.
System of linear equations and inequalities
Solving system of linear equations by graphical method, substitution method and addition method; and applications.
Polynomials
Integer exponents; scientific notation; addition and subtraction of polynomials and polynomial functions; multiplication of polynomials; division of polynomials; greatest common factor; factoring by grouping; factoring trinomials; factoring binomials; and solving equations by zero product rule.
Rational expressions and rational equations
rational expressions; rational functions; multiplication of rational expressions; division of rational expressions; addition of rational expressions; subtraction of rational expressions; complex fractions; solving rational equations; applications of rational equations; applications of proportions and variations.
Radicals and complex numbers
nth root; rational exponents; simplifying radical expressions; addition of radicals; subtraction of radicals; multiplication of radicals; division of radicals; rationalization; solving radical equations; and complex numbers.
Quadratic equations and functions
Solving quadratic equation using the square root property; solving quadratic equation by completing the square; quadratic formula; equations in quadratic form; graphs of quadratic functions; vertex of a parabola; polynomial and rational inequalities.
Exponential and logarithmic functions
Algebra of functions; compositions; inverse functions; exponential functions; logarithmic functions; properties of logarithms; the irrational number e; change of base; logarithmic equations and exponential equations.