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Writing Algebraic Expressions Worksheet (Free Printable)

How do you turn everyday phrases into algebraic expressions? That’s the core skill this worksheet helps students master.

Whether you’re teaching pre-algebra in middle school or supporting advanced elementary learners, this free printable algebra worksheet from Superthink offers clear, approachable practice for writing expressions and equations based on verbal descriptions.

Why This Skill Matters

Translating words into algebraic expressions is one of the most important foundational skills in algebra. It builds:

  • Mathematical fluency: Students learn how to connect language to operations like addition, subtraction, multiplication, and division.

  • Problem-solving confidence: Once kids grasp how to translate a phrase like “five less than x” into “x – 5,” they’re better prepared for multi-step problems.

  • Equation-reading skills: Understanding expressions like “twice a number increased by three” leads directly into solving linear equations and word problems later on.


What’s on the Worksheet?

This worksheet is broken into three clear tiers to build confidence step by step:

Simple expressions with one operation and one variable.

  • The sum of p and four → p + 4

  • Five less than xx – 5

Expressions that combine multiple operations or reverse phrasing.

  • Six multiplied by a number and decreased by two → 6x – 2

  • A number divided by three and decreased by one → x ÷ 3 – 1

Two-step expressions written as full equations:

  • A number plus eight is equal to twenty-four → x + 8 = 24

  • Twice a number increased by three equals eleven → 2x + 3 = 11

How to Use This Worksheet

  • In class: Use this as a review tool or group challenge before diving into equation solving.

  • At home: Perfect for independent practice or extra support for kids learning how to read algebraic language.

  • Assessment: Try using only the peak challenge section as a quick quiz to assess understanding.

Download the Worksheet

This worksheet is free, printable, and designed for grades 5–7—but flexible enough for enrichment in upper elementary or review in early algebra courses.

Related Worksheets

Browse our other algebra equation worksheets:

Multi Step Equations Worksheet with Distributive Property

Free Solving Two Step Equations Worksheet

Free Distributive Property Worksheet with Variables

 

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Keep Practicing

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Mixed PEMDAS Practice Worksheet (No Exponents)
Free Distributive Property and Combining Like Terms Worksheet