7.AT.C: Model with and solve equations and inequalities

Model with and solve equations and inequalities

7.AT.C.7Analyze contextual situations to determine whether an equation or inequality best represents the relationship between quantities. Justify the choice based on the context.7.AT.C.8Use variables to represent quantities and write and solve equations to model and reason about relationships in context. a. Write equations of the form px + q = r and p(x + q) = r where p, q, and r are specific rational numbers. b. Solve equations of these forms flexibly and efficiently. Explain the solution process and how it connects to the original statement of equality. c. Solve word problems leading to equations of these forms and interpret the solution in terms of the context.7.AT.C.9Use variables to represent quantities and write and solve inequalities to model and reason about constraints and conditions in context. a. Write inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. b. Solve inequalities of these forms and graph the solution set on a number line. c. Interpret the solution set in terms of the context by describing what values are possible or reasonable in the given situation.

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