Students use strategies, skills and concepts in finding solutions. Students verify that a point lies on a line given an equation of the line. Students are able to derive linear equations using the point-slope formula. Students solve a system of two linear equations in two variables algebraically, and are able to interpret the answer graphically. Students are able to use this to solve a system of two linear inequalities in two variables, and to sketch the solution sets.
Students add, subtract, multiply and divide monomials and polynomials.
Students solve multistep problems, including word problems, using these techniques. Students add, subtract, multiply, and divide rational expressions and functions. Students solve both computationally and conceptually challenging problems using these techniques. Students understand the concepts of a relation and a function, determine whether a given relation defines a function, and give pertinent information about given relations and functions. Students determine whether a relation defined by a graph, a set of ordered pairs, or symbolic expression is a function and justify the conclusion.