Worksheets · Algebra 1

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 product of seven and a number, plus one
  2. Four less than the square of a number is equal to 31. Write the equation
  3. Five times the difference of a number and six
  4. Two less than three times a number is equal to 30. Write the equation
  5. Four times the difference of a number and three
  6. Six times a number, decreased by ten equals 43. Write the equation
  7. Eight times the difference of a number and three
  8. Twelve less than the square of a number is 17. Write the equation
  9. Three less than the square of a number
  10. Two less than six times a number is equal to 41. Write the equation
  11. Three times the difference of a number and twelve
  12. The product of four and a number, plus nine is equal to 45. Write the equation
  13. Twelve less than eight times a number
  14. The quotient of a number and eight, increased by four is equal to 57. Write the equation
  15. Nine more than three times a number
  16. Two more than nine times a number is 30. Write the equation
  17. Seven less than seven times a number
  18. Eleven more than eight times a number is equal to 25. Write the equation
  19. The quotient of a number and four, increased by two
  20. Two less than four times a number is equal to 25. 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 product of seven and a number, plus one7n+1
  2. Four less than the square of a number is equal to 31. Write the equationn2−4=31
  3. Five times the difference of a number and six5(n−6)
  4. Two less than three times a number is equal to 30. Write the equation3n−2=30
  5. Four times the difference of a number and three4(n−3)
  6. Six times a number, decreased by ten equals 43. Write the equation6n−10=43
  7. Eight times the difference of a number and three8(n−3)
  8. Twelve less than the square of a number is 17. Write the equationn2−12=17
  9. Three less than the square of a numbern2−3
  10. Two less than six times a number is equal to 41. Write the equation6n−2=41
  11. Three times the difference of a number and twelve3(n−12)
  12. The product of four and a number, plus nine is equal to 45. Write the equation4n+9=45
  13. Twelve less than eight times a number8n−12
  14. The quotient of a number and eight, increased by four is equal to 57. Write the equationn8+4=57
  15. Nine more than three times a number3n+9
  16. Two more than nine times a number is 30. Write the equation9n+2=30
  17. Seven less than seven times a number7n−7
  18. Eleven more than eight times a number is equal to 25. Write the equation8n+11=25
  19. The quotient of a number and four, increased by twon4+2
  20. Two less than four times a number is equal to 25. Write the equation4n−2=25

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 2n−7.

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.

Algebra 1 is usually taken around 8th or 9th 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.