3.3.1 Students are able to add, subtract, multiply and divide monomials and polynomials. Students are able to solve problems using these techniques. 3.3.3 Students apply basic factoring techniques to second and simple third degree polynomials. These techniques include finding the common factors, greatest common factor, difference of two squares, perfect square trinomials, the sum and difference of cubes, and general trinomials. Students simplify fractions with polynomials in the numerator and denominator by factoring both and reducing to lowest terms.
Students are able to add, subtract, multiply, and divide rational expressions and functions.
Students are able to solve both computationally and conceptually challenging problems using these techniques. Represent simultaneous linear situations with tables, graphs and equations, understanding the connections among the representations. Students are able to apply algebraic techniques to rate problems, work problem percent mixture problems, and direct and indirect variations. Students can solve equations and inequalities involving absolute values. Solve a system of two linear equations and inequalities, relate the solution to the graph of the system and interpret it in terms of the context from which the equations arose.