Students understand and use such operations as taking the opposite, reciprocal, raising to a power, and taking a root. This includes the understanding and use of the rules of exponents. Students solve equations and inequalities involving absolute values. Students solve multi-step problems, including word problems, involving linear equations and linear inequalities in one variable, with justification of each step. 6y 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 understand the concepts of parallel and perpendicular lines and how their slopes are related. Students are able to find the equation of a line perpendicular to a given line that passes through a given point. 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.