Write Linear & Nonlinear Expressions Worksheets


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Printable “Algebra” worksheets:
Write Equations Using Symbols
Write Linear & Nonlinear Expressions
Write & Solve Linear Equations
Solve Linear Equations (Distributive)
Solve Linear Equations in Disguise
Solve Linear Equations Word Problems

Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 learn how to write linear and nonlinear expressions from mathematical statements.

How to write linear and nonlinear expressions?

Writing Linear and Nonlinear Expressions from Mathematical Statements

Understanding the Key Terms:
Linear Expression: Contains only variables raised to the power of 1.
Nonlinear Expression: Contains variables raised to powers other than 1.

Steps to Write Expressions:

  1. Identify the Variables: Determine which quantities in the statement are unknown and represent them with variables (e.g., x, y, z).
  2. Translate the Operations: Convert the words into mathematical symbols:
  • “Sum” or “added to”: +
  • “Difference” or “subtracted from”: -
  • “Product” or “multiplied by”: ×
  • “Quotient” or “divided by”: ÷
  • “Squared”: ²
  • “Square root”: √
  1. Form the Expression: Combine the variables and operations to create the mathematical expression.


Have a look at this video if you need to review how to write linear and nonlinear expressions.

Click on the following worksheet to get a printable pdf document.
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Linear & Nonlinear Expressions
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