Operation Keywords

Ever wondered how to turn confusing word problems into math you can actually solve? The secret is recognizing specific words that signal which operation to use.

When you see words like "sum," "total," "altogether," or "combined," they're telling you to add numbers together. If a problem mentions something "increased by" or "more than," that's also a clue to use addition.

For subtraction, look for words like "difference," "decreased by," "fewer," "take away," or "less than." These signal that you need to subtract one number from another.

Multiplication keywords include "product," "times," "double," "triple," or "of." When a problem mentions something "increased by a factor" or "twice" a number, you'll need to multiply.

Pro Tip: The word "of" often signals multiplication, especially in phrases like "half of 20" (which means 0.5 × 20). This is one of the most commonly misunderstood math keywords!

Division appears when you see "quotient," "per," "ratio," "divided by," or "split up." Words like "half" or "percent" typically involve division as well.

Equation Keywords and Phrases

Recognizing equation-forming words can transform your approach to word problems. These are the bridge between English and math language!

Words like "is," "are," "was," and "will be" usually represent the equals sign (=) in mathematical equations. When you read "a number is 5," that translates to "x = 5."

Phrases like "yields" or "sold for" also indicate equality in a mathematical relationship. For instance, "Ten tickets sold for $50" means 10t = $50.

More complex phrases require careful attention. "Twice the sum of a number and 5" translates to 2$x + 5$, while "times the difference of" means to multiply after subtracting $like 3(x - 2)$.

Remember: Always read word problems carefully and identify these keyword phrases before attempting to solve. Circle or underline them to help organize your thinking!