## One & Two Step Equations

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#### Study Guide One & Two Step Equations Mathematics, Grade 6

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What Is Solving and Explaining Two-Step Equations Involving Whole Numbers and Using Inverse Operations? An algebraic equation is an expression in which a letter represents an unknown number such as, n + 5 = 11 (n = 6). An inverse operation is one that “undoes” or reverses another. Addition and subtraction are inverse operations, and so are multiplication and division. Using an inverse operation allows us to calculate the value of the unknown number by moving all the known numbers to one side of the equation. Two-step equations involve balancing both sides of the equation. To solve 5 + n = 11, subtract 5 (the inverse operation of addition) from both sides: n = 11 5. Perform the operation and n = 6 How to solve two-step equations involving whole numbers by using inverse operations: To solve a two-step equation, the unknown number must be by itself on one side of the equation. This happens by performing inverse operations. An algebraic equation must stay in balance, so whatever is done to one side must be done to the other. To solve this problem: n 6 = 4 Add 6 to both sides of the equation because addition is the inverse of subtraction n = 10. © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.