Mathematics - TEAS Study Guide | Nurse.org
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Watch First β€” Using Algebra To Solve Word Problems

Start with this short video, then scroll down for the full guide.

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Word Problem Setup & Translation

Why This Matters for Nursing: Real nursing math never comes as "solve 3x + 5 = 20." It comes as: "A patient receives 50 mL/hr. After 4 hours, they've received 350 mL total. What was the initial IV bag volume?" Translating words to math is THE essential skill.

What You Need to Know

The key to word problems is translating English into math. Once you set up the equation correctly, solving is just applying what you already know.

Translation Dictionary

English Math
is, are, was, equals, gives =
more than, increased by, added to +
less than, decreased by, subtracted from -
times, of, product Γ—
divided by, per, ratio of Γ·
what, a number, unknown x (variable)
Word β†’ Math Translation English Phrase Math Symbol is, equals, gives, was = more than, increased by + less than, decreased by βˆ’ times, of, product Γ— per, divided by, ratio Γ·

🧠 Memory Trick

"IS means EQUALS"

Whenever you see "is" in a word problem, write "="

"Three more than a number IS 10" β†’ x + 3 = 10

Read word problems TWICE: 1. First read: Understand the story 2. Second read: Identify what you're solving for


Step-by-Step Strategy

  1. Read the entire problem - don't start writing until you understand it
  2. Identify what you're finding - this is your variable
  3. Write what you know - list given information
  4. Translate to an equation - use the dictionary above
  5. Solve the equation
  6. Check: Does your answer make sense?

✏️ Worked Examples

Example 1: Basic Translation

Problem: Five more than a number is 17. Find the number.

What we're solving: We need to find an unknown number. Let's call it x.

Step 1 β€” Translate piece by piece. - "Five more than a number" β†’ x + 5 ("more than" = add) - "is" β†’ = (whenever you see "is" in a math problem, write an equals sign) - "17" β†’ 17

Step 2 β€” Write the equation. x + 5 = 17.

Step 3 β€” Solve. Subtract 5 from both sides: x = 12.

Answer: The number is 12.


Example 2: Step-by-Step Solution

To solve this type of problem, start by identifying the key values given in the question. Then apply the formula we covered above...

Step 1: Convert the mixed number to an improper fraction...

Step 2: Find the common denominator between the two fractions...

Keep reading β€” there's more to this guide

The worked examples and practice problems are the part that actually prepares you for the TEAS.

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