Understanding and Solving One and Two-Step Equations
In this guide, we will explore the fundamental concepts of solving one and two-step equations. You will learn how to effectively write and evaluate these equations using inverse operations to isolate variables. Key vocabularies include inverse operations, literal equations, and identities. We will also discuss the properties of equality: reflective, symmetric, substitution, and transitive. Remember, checking your work is crucial! Mastering these concepts will build a strong foundation for solving equations confidently and accurately.
Understanding and Solving One and Two-Step Equations
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Presentation Transcript
1.4 Solving Equations Objective: I will write and evaluate one and two-step equations
Vocab 1. Inverse operations: operations that “undo” each other ex: addition and subtraction; multiplication and division 2. Literal equation: an equation that uses two letters as variables 3. Identity: an equation that is true for every value of the variable
When solving one and two-step equations, always use inverse operations to solve for the variable! Remember AsMOD… 1. add or subtract 2. multiply or divide Remember AsMod 1. add or subtract 2. multiply or divide Remember AsMod… 1. add or subtract 2. multiply or divide
Algebra Property Card Properties of Equality Reflective: a = a 5 = 5 Symmetric: If a = b then b = a If ½ = .5 then .5 = ½ Substitution: If a = b then you can If a = b and 9 + a = 15 replace a with b and then 9 + b = 15 vice versa Transitive: If a = b and b = c then If 2.5 = 2½ and 2½ = 5/2 a = c then 2.5 = 5⁄2
Always Check Your Work!!!
