Represent real world and mathematical situations using equations and inequalities involving linear expressions. Solve equations and inequalities symbolically and graphically. Interpret solutions in the original context.

8.2.4.1Use linear equations to represent situations involving a constant rate of change, including proportional and non-proportional relationships.8.2.4.2Solve multi-step equations in one variable. Solve for one variable in a multi-variable equation in terms of the other variables. Justify the steps by identifying the properties of equalities used.8.2.4.3Express linear equations in slope-intercept, point-slope and standard forms, and convert between these forms. Given sufficient information, find an equation of a line.8.2.4.4Use linear inequalities to represent relationships in various contexts.8.2.4.5Solve linear inequalities using properties of inequalities. Graph the solutions on a number line.8.2.4.6Represent relationships in various contexts with equations and inequalities involving the absolute value of a linear expression. Solve such equations and inequalities and graph the solutions on a number line.8.2.4.7Represent relationships in various contexts using systems of linear equations. Solve systems of linear equations in two variables symbolically, graphically and numerically.8.2.4.8Understand that a system of linear equations may have no solution, one solution, or an infinite number of solutions. Relate the number of solutions to pairs of lines that are intersecting, parallel or identical. Check whether a pair of numbers satisfies a system of two linear equations in two unknowns by substituting the numbers into both equations.8.2.4.9Use the relationship between square roots and squares of a number to solve problems.
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