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Free worksheets for writing expressions with variables

Create free worksheets for writing simple expressions with variables (pre-algebra / algebra 1 / grades 6-9, either as PDF or html files.

The problems give the student the expression in words, such as the quotient of 7t and 5, the difference of x and 8, divided by 2, or the quantity 8 plus 2t, cubed, and ask the student to write a mathematical expression to match that.

Basic instructions for the worksheets

Each worksheet is randomly generated and thus unique. The answer key is automatically generated and is placed on the second page of the file.

You can generate the worksheets either in html or PDF format — both are easy to print. To get the PDF worksheet, simply push the button titled "Create PDF" or "Make PDF worksheet". To get the worksheet in html format, push the button "View in browser" or "Make html worksheet". This has the advantage that you can save the worksheet directly from your browser (choose File → Save) and then edit it in Word or other word processing program.

Sometimes the generated worksheet is not exactly what you want. Just try again! To get a different worksheet using the same options:

  • PDF format: come back to this page and push the button again.
  • Html format: simply refresh the worksheet page in your browser window.

Ready-made worksheets

Use these quick links to create some common types of worksheets for writing expressions. Below, with the actual generator, you can generate worksheets to your exact specifications.

Very easy expressions – only one operation; 12 problems per sheet

View in browser     Create PDF
Easy expressions – two operations; 8 problems per sheet

View in browser     Create PDF
Medium-level worksheet: expressions have two or three operations; 8 problems per sheet

View in browser     Create PDF
All expressions have three operations; 6 problems per sheet

View in browser     Create PDF

See also

Worksheets for simplifying expressions

Worksheets for evaluating expressions with variables

Worksheets for linear equations

Worksheets for linear inequalities


With the worksheet generator, you can control control the number of operations in the problems, the number of problems, workspace, border around the problems, and additional instructions.

Expressions with Variables Worksheet Generator
Columns:   Rows:
(These determine the number of problems)

Level 1: one operation - e.g. sum of 7 and t
Level 2: two operations - e.g. y cubed divided by 4
Level 3: three operations - e.g. 3 times the quantity 9 minus 5t

Number of empty lines below the problems (workspace)
Page orientation:
Portrait   Landscape
(PDF worksheet only; the orientation of an html worksheet can be set in the print preview of the browser)

Font:   Font Size: 

Cell Padding:

Border:     Bordercolor:

Additional title & instructions  (HTML allowed)


Key to Algebra workbook series

Key to Algebra Workbooks

Key to Algebra offers a unique, proven way to introduce algebra to your students. New concepts are explained in simple language, and examples are easy to follow. Word problems relate algebra to familiar situations, helping students to understand abstract concepts. Students develop understanding by solving equations and inequalities intuitively before formal solutions are introduced. Students begin their study of algebra in Books 1-4 using only integers. Books 5-7 introduce rational numbers and expressions. Books 8-10 extend coverage to the real number system.

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