Interval Notation & Inequalities Worksheets | Algebra 1 Homework Practice

Three worksheets on inequality representations. Students are required to convert given inequalities to intervals and vice versa. In the first worksheet the inequality is given and students are required to write the corresponding interval. In the second worksheet the interval is given and students are required to write the corresponding inequality. In the third worksheet both cases are included.

Are your students struggling to grasp the difference between parentheses and square brackets when writing boundaries? Simplify the transition from inequality signs to interval notation with this focused, print-and-go practice collection.

This resource features three distinct, clean practice worksheets designed to build confidence in writing and interpreting mathematical inequalities. It is the perfect addition to your Key Stage 4 (KS4) or GCSE maths unit on solving inequalities, region shading, domain, and range.

What’s Included in This Resource?

• Inequality to Interval Practice: Students look at a given inequality (including compound inequalities and fractions) and convert it into correct interval notation.
• Interval to Inequality Practice: Students read an interval (including infinite intervals and fractions) and write the corresponding inequality expression.
• Mixed Practice Review: Comprehensive practice sheets that challenge students to switch fluently between both formats depending on what information is provided.
• Full Answer Keys: Complete, easy-to-read solutions are included for every single problem to make marking a breeze or to allow for quick student self-checking.

Why Teachers Choose It

• Zero Preparation Required: Just print and copy. Perfect for cover lessons, independent work, homework assignments, or targeted revision sessions.
• Scaffolded Learning: Progresses smoothly from basic inequalities to compound and fractional problems to challenge all learners.
• Flexible Lesson Use: Use all pages together as a comprehensive booklet, or break them up into separate starter activities, main classwork tasks, or assessments.

Curriculum Standards Met

• UK National Curriculum (Key Stage 4): Solve linear inequalities in one variable and represent the solution set on a number line or using set notation.
• GCSE Maths Specifications (AQA, Edexcel, OCR): Understand and use inequality notation, solve linear inequalities, and accurately express domain ranges for advanced algebraic functions.
• Mathematical Precision: Helps students master the structural difference between open intervals () and closed intervals [] based on strict and non-strict inequality symbols.