In the study of algebra, a student develops an understanding of the symbolic language of mathematics and the sciences. In addition, algebraic skills and concepts are developed and used in a wide variety of problem solving situations. 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.