Operation Words
Recognize the phrases that point to addition, subtraction, multiplication, and division.
Free Algebra Cheat Sheet
Turn Words Into Algebra Without Guessing.
Download the UltimateAlgebra Translating Expressions cheat sheet and quickly learn the phrases that signal addition, subtraction, multiplication, division, equality, word-order changes, and grouped expressions.
2 pages • the preview shows only part of what's included • designed for students
TRANSLATING VERBAL EXPRESSIONS
Turn common math words into the correct algebra symbols.
+ ADDITION
plus • added to • more than • sum of • increased by
− SUBTRACTION
minus • less than • fewer than • decreased by • difference
× MULTIPLICATION
times • product of • twice • double • groups of
÷ DIVISION
divided by • quotient • ratio • per • half of
Watch the order: “5 less than x” becomes x − 5, not 5 − x.
+
And there's more inside
Equality & equation phrases
=
Powers & grouped expressions
( ) ²
More word-order traps & worked examples
→
Preview only • Full 2-page PDF has more
What You'll Learn
Use the words as clues. Then translate with confidence.
Keep this beside you while doing homework, studying for a test, or learning algebra for the first time.
Word-Order Traps
See why phrases such as “less than” and “subtracted from” can reverse the order.
Grouped Phrases
Spot wording that often requires parentheses, including sums, differences, and quantities.
Worked Examples
Compare verbal phrases with their algebraic expressions so the translation pattern becomes clear.
Ready to Learn More?
The cheat sheet helps you remember it. The full course helps you master it.
UltimateAlgebra breaks math down step by step so you can build the foundation first, understand what each step means, and move into harder algebra without feeling lost.
✓
Pre-Algebra, Algebra 1, Algebra 2, and more
✓
Clear, concise video lessons you can replay anytime
✓
Step-by-step explanations designed to make difficult ideas easier
✓
Practice, visual learning, and self-paced study
Keep it open while you practice.
The faster you recognize the language of algebra, the easier it becomes to turn a word problem into the expression you actually need.
Get the Free PDF