Upon successful completion of the course, students will be able to: identify sets and properties of real numbers; define natural- number exponents; apply the rules of exponents  and the rules for order of operations to evaluate expressions; define rational  exponents whose numerators are one and whose numerators are not one; evaluate a variable expression; to simplify a variable expression using addition, multiplication, and the Distributive Property; to translate a verbal expression into a variable expression; to determine whether a given number is a solution of an equation; to solve an equation in the form x+a=b, to solve an equation in the form ax=b; to solve uniform motion problems; to solve applications using formulas; to solve problems involving angles; to solve value mixture problems; to solve percent mixture problems; define polynomials, demonstrate addition, subtraction, multiplication, and division of polynomials; explain factoring out of a common monomial; to factor trinomials; to factor the difference of two squares and perfect square trinomial; define rational expressions; demonstrate addition, subtraction, multiplication, and division of rational expressions; to simplify complex fractions; to solve equations containing fractions; to solve literal equations for one of the variables; demonstrate graphing linear equations, vertical and horizontal lines, and fine distance between two points; calculate the slope of a line; use the slope to solve application; write equations of parallel and perpendicular lines; use point-slope and slope-intercept form to write an equation of a title; locate the “x- and y-“ intercepts of a graph; to solve a system of linear equations by graphing, substitution method, and additions method; solve investment problems; solve application problems using two variables; to solve problems having inequalities; to solve an inequality using the addition property and multiplication property of inequalities; to graph an inequality in two variables; to simplify numerical radical expressions; to solve an equation containing a radical expression; calculate quadratic equations using the quadratic formulas, factoring and the Square Root Property; to solve a quadratic equation by completing the square; develop the analytical skills of the student in order to better comprehend various algebraic  theories and applications.