3.1 Linear Equations and Applications Essential Question(s): How do you solve linear equations? How do you solve linear word problems? Vocabulary: Formed by placing an sign between two algebraic expressions Algebraic Equation Can be solved Part of an algebraic equation. Algebraic Expression Can only be simplified. Caution: Methods for solving and methods for simplifying are not always the same. Domain The set of numbers that are permitted to replace the variable (replacement set) The set of x-values Each element in the domain of the variable that the equation true Solution or Root Finding the complete solution set for the equation Solving an Equation Standard Form of a Ax + By = C, where A 0 ≠ Linear Equation
3.1 Linear Equations and Applications Essential Question(s): How do you solve linear equations? How do you solve linear word problems? Vocabulary: Algebraic Equation Formed by placing an sign between two algebraic expressions Can be solved Algebraic Expression Part of an algebraic equation. Can only be simplified. Caution: Methods for solving and methods for simplifying are not always the same. Domain (replacement set) The set of numbers that are permitted to replace the variable The set of x-values Solution or Root Each element in the domain of the variable that the equation true Solving an Equation Finding the complete solution set for the equation Standard Form of a Linear Equation Ax + By = C, where A ≠ 0
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