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Word Problems to Expressions

MATH QUIZ

WORD PROBLEMS TO EXPRESSIONS

Learn to turn real-life situations into algebraic expressions!

What Are Word Problem Expressions?

Many real-life situations involve fixed amounts (constants) and changing amounts (variables). Your job is to identify which is which, then write the correct algebraic expression.

Key Words to Remember

"Per" and "each" mean multiply the rate by the variable.
"Plus" and "and" (for cost) mean add the parts together.
"Times as many" means multiply the quantity by that number.
For geometry: Perimeter = 2(length + width), Area = length × width

Common Mistakes

Don't multiply the fixed fee by the variable! A flat charge like "₱40" stays as 40, not 40x. Only the "per unit" part gets multiplied.

Tip: Always ask yourself — "What stays the same?" (constant) and "What changes?" (variable × rate). Then combine them!

Translation Examples

"A flat fee of ₱30 plus ₱12 per hour h" → Fixed: 30, Variable: 12 × h → 30 + 12h

"Buys x items at ₱15 each" → Rate × quantity → 15x

"Width is w, length is 3 times the width" → Length = 3w, Area = w × 3w → 3w²

"n notebooks at ₱20 each and y pens at ₱10 each" → 20n + 10y → 20n + 10y

Remember: Separate the constant from the variable part, then put them together with the correct operation!

Quiz Time!

Read each situation carefully. Choose the correct algebraic expression!

Answer all questions first before submitting!
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Made for students who want to master Word Problem Expressions

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