Solving One-Step Equations Study Guide Steps: 1. 2. 3. 4. 5. Identify the variable Draw “walls” Identify the operation being done in the problem Identify the INVERSE OPERATION Perform the INVERSE OPERATION to both sides of the equation Inverse Operations: Operation Inverse Addition Subtraction Multiplication Division → → → → Subtraction Addition Division Multiplication Examples: Step 1: Identify the variable. Variable- the letter in the problem, it’s what you are solving for For example: 1. 7y = 49 → 2. f - 14 = 24 → “Y” IS THE VARIABLE “f” IS THE VARIABLE Step 2: Find out what operation that the problem is. (x, ÷, +, or -) For example: 8n = 16 z + 10 = 15 → This is multiplication (x) → This is addition (+) Step 3: Do the INVERSE operation to BOTH sides of the = sign to solve the problem. This gets the variable by itself! The INVERSE of multiplication is division… so divide BOTH sides of the = sign by 8 1. The 8s cancel out The 10’s cancel out 8n = 16 8 8 n = 2 2. z + 10 -10 z = 15 - 10 = 5 The OPPOSITE of addition is subtraction… so - BOTH sides of the = sign by 10