Students identify and use the arithmetic properties of subsets of integers, rational, irrational and real numbers. This includes closure properties for the four basic arithmetic operations. Students use properties of numbers to demonstrate that assertions are true or false. 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.