Worksheets · Pre-Algebra

Pre-Algebra writing algebraic expressions from words worksheet

Sum, difference, product and quotient name the four operations; "more than" and "less than" add and subtract, and "less than" swaps the order: seven less than a number is n - 7. "Twice the sum of" wraps the sum in brackets before doubling it. On the equation sheet, "is" becomes the equals sign.

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Pick more than one for a sheet that mixes them.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Words to Algebra

Date Period

Write each as an expression or equation. Use n for the number.

  1. The square of a number
  2. A number divided by nine is equal to 16. Write the equation
  3. The difference of a number and five
  4. The sum of a number and three is equal to 15. Write the equation
  5. The difference of a number and four
  6. A number increased by six equals 22. Write the equation
  7. The difference of a number and eight
  8. A number divided by eight is eight. Write the equation
  9. A number divided by five
  10. The sum of a number and six is equal to 21. Write the equation
  11. The difference of a number and three
  12. The square of a number is equal to 23. Write the equation
  13. The sum of a number and eight
  14. Eight minus a number is equal to 29. Write the equation
  15. Three more than a number
  16. Nine more than a number is 15. Write the equation
  17. The sum of a number and seven
  18. A number increased by eight is equal to twelve. Write the equation
  19. The product of four and a number
  20. The sum of a number and four is equal to twelve. Write the equation

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Words to AlgebraAnswer keyVersion 1

Date Period

Write each as an expression or equation. Use n for the number.

  1. The square of a numbern2
  2. A number divided by nine is equal to 16. Write the equationn9=16
  3. The difference of a number and fiven5
  4. The sum of a number and three is equal to 15. Write the equationn+3=15
  5. The difference of a number and fourn4
  6. A number increased by six equals 22. Write the equationn+6=22
  7. The difference of a number and eightn8
  8. A number divided by eight is eight. Write the equationn8=8
  9. A number divided by fiven5
  10. The sum of a number and six is equal to 21. Write the equationn+6=21
  11. The difference of a number and threen3
  12. The square of a number is equal to 23. Write the equationn2=23
  13. The sum of a number and eightn+8
  14. Eight minus a number is equal to 29. Write the equation8n=29
  15. Three more than a numbern+3
  16. Nine more than a number is 15. Write the equationn+9=15
  17. The sum of a number and sevenn+7
  18. A number increased by eight is equal to twelve. Write the equationn+8=12
  19. The product of four and a number4n
  20. The sum of a number and four is equal to twelve. Write the equationn+4=12

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

Seven less than twice a number

  1. Twice a number is 2n.
  2. Seven less than that takes 7 away: 2n - 7, not 7 - 2n.

The answer is 2n7.

Where students go wrong

Writing the words in the order they come. "Seven less than a number" is n - 7; the 7 is spoken first and written last.

Also called translating algebraic expressions, verbal expressions, translating phrases or writing equations from words.

What you can put on this worksheet

A phrase to an expression
Six more than a number n+6
A sentence to an equation
Six more than a number equals 17. Write the equation n+6=17

Questions about these worksheets

Yes. Every writing algebraic expressions from words sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Pre-Algebra is usually taken around 7th or 8th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the writing algebraic expressions from words questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 2: a phrase to an expression and a sentence to an equation. Tick as many as you want and set how many of each, or let it spread them evenly.

Writing the words in the order they come. "Seven less than a number" is n - 7; the 7 is spoken first and written last.