Mathematics - TEAS Study Guide | Nurse.org
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Solving Multi-Step Equations

Why This Matters for Nursing: Real-world calculations often have multiple steps. "A patient receives a loading dose plus hourly maintenance: Loading + 2(hourly) = Total." Multi-step equations help you work backward to find missing values.

What You Need to Know

Multi-step equations require more than one operation to solve. The key is working in the right ORDER:

The Strategy (Reverse PEMDAS!)

  1. Simplify each side first (distribute, combine like terms)
  2. Move variables to one side (add/subtract terms with variables)
  3. Undo addition/subtraction (isolate the term with the variable)
  4. Undo multiplication/division (isolate the variable)
Solving 2x + 5 = 13 — Step by Step Start: 2x + 5 = 13 Step 1: 2x + 5 − 5 = 13 − 5 subtract 5 Step 2: 2x = 8 simplified Answer: x = 4 divide by 2

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