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. This includes closure properties for the four basic arithmetic operations where applicable. This includes the understanding and use of the rules of exponents.
Students are able to derive linear equations using the point-slope formula.
Students are able to find the equation of a line perpendicular to a given line that passes through a given point. Students are able to use this to solve a system of two linear inequalities in two variables, and to sketch the solution sets. Students solve multistep problems, including word problems, using these techniques. Students will be able to solve both computationally and conceptually challenging problems using these techniques.