Students simplify expressions before solving linear equations and inequalities in one variable. (4.0)
Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step. (5.0 )
Students graph a linear equation and compute the x- and y- intercepts. (6.0)
Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations. (7.0)
Students understand the concepts of parallel lines and how their slopes are related. (8.0 )
Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets. (9.0)
Students add, subtract, multiply, and divide monomial and polynomials. Student solve multistep problems, including world problems, by using these techniques. (10.0)
Students apply basic factoring techniques to second-and simple third-degree polynomials. These techniques include finding a common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials. (11.0)
Students solve a quadratic equation by factoring or completing the square. (14.0)
Students apply algebraic techniques to solve rate problems, work problems, and percent mixture problems. (15.0)
Students use the quadratic formula to find the roots of a second - degree polynomial and to solve quadratic equations. (20.0)
Students graph quadratic functions and know that their roots are the x- intercepts. (21.0
Students use the quadratic formula or factoring techniques or both to determine whether the graph of a quadratic function will intersect the x - axis in zero, one, or two points. (22.0)
