Study Guide For 2 Step Equations
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This document provides a study guide for solving two-step equations with examples. It explains that a two-step equation contains two operations and provides four examples of solving equations by reversing the operations in two steps. The examples show subtracting, adding, multiplying, and dividing both sides of the equation by the same amount in order to isolate the variable.
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Study Guide For 2 Step Equations
- 1. Name __________________________________________ Date ____________ Polizzi/Woska Math – 6 Study Guide Math Test Two-Step Equations Solving Equations A two-step equation is an equation that contains two operations. Example 1: 2y + 3 = 11 Step 1: 2y + 3 – 3 = 11 – 3 (Subtract 3 from both sides to undo the addition.) 2y = 8 Step 2: 2y = 8 (Divide each side by 2 to undo the multiplication.) 2 2 y=4 Example 2: 2b – 18 = 34 Step 1: 2b – 18 + 18 = 34 + 18 (Add 18 to each side.) 2b = 52 Step 2: 2b = 52 (Divide each side by 2.) 2 2 b = 26 Example 3: x + 5 = 10 2 x Step 1: + 5 – 5 = 10 – 5 (Subtract 5 from each side.) 2 x =5 2 x Step 2: (2) = 5 (2) (Multiply each side by 2.) 2 x = 10 Example 4: x -3=2 4 x Step 1: - 3 + 3 = 2 + 3 (Add 3 to each side.) 4 x =5 4 x Step 2: (4) = 5 (4) (Multiply each side by 4.) 4 x = 20