FAC.EI

Equations and Inequalities

FAC.EI.1Interpret key features of an expression (i.e., terms, factors, and coefficients). (A-SSE.1a)FAC.EI.10Graph the solution point of an equation and the solution set of an inequality in one variable on a horizontal number line. For inequalities, be able to interpret and write the solution set in a variety of ways (e.g., set notation).FAC.EI.11Justify when linear equations in one variable will yield one solution, infinitely many solutions, or no solution. (8.EE.7a)FAC.EI.2Create expressions that can be modeled by a real-world context.FAC.EI.3Use the structure of an expression to identify ways to rewrite it. (A-SSE.2)FAC.EI.4Simplify and evaluate numerical and algebraic expressions. (7.EE.1)FAC.EI.5Compare and contrast an expression and an equation and give examples of each.FAC.EI.6Given an equation, solve for a specified variable of degree one (i.e. isolate a variable). (6.EE.7, 7.EE.4)FAC.EI.7Fluently solve and check multi-step equations and inequalities with an emphasis on the distributive property, variables on both sides, and rational coefficients. Explain each step when solving a multistep equation and inequality. Justify each step using the properties of real numbers.FAC.EI.8Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. (7.EE.4a)FAC.EI.9Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Solve inequalities of these forms fluently. (7.EE.4b)
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