Expressions, Equations, and Inequalities

7.EEI.1Apply mathematical properties (e.g., commutative, associative, distributive) to simplify and to factor linear algebraic expressions with rational coefficients.7.EEI.2Recognize that algebraic expressions may have a variety of equivalent forms and determine an appropriate form for a given real-world situation.7.EEI.3Extend previous understanding of Order of Operations to solve multi-step real-world and mathematical problems involving rational numbers. Include fraction bars as a grouping symbol.7.EEI.4Apply the concepts of linear equations and inequalities in one variable to real-world and mathematical situations.7.EEI.4aWrite and fluently solve linear equations of the form ax+b=c and a(x+b)=c where a, b, and c are rational numbers.7.EEI.4bWrite and solve multi-step linear equations that include the use of the distributive property and combining like terms. Exclude equations that contain variables on both sides.7.EEI.4cWrite and solve two-step linear inequalities. Graph the solution set on a number line and interpret its meaning.7.EEI.4dIdentify and justify the steps for solving multi-step linear equations and two-step linear inequalities.7.EEI.5Understand and apply the laws of exponents (i.e., product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property) to simplify numerical expressions that include whole-number exponents.
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