Evaluating Absolute Value Expressions Worksheet | Comparing Integers | Key

A worksheet introducing the students to the concept of absolute value. Solutions are included.

This no-prep math worksheet helps secondary school students master evaluating absolute value expressions and comparing integers accurately. It features targeted absolute value calculation tasks, structural brackets operations, and a full teacher answer key—making it an ideal revision tool or homework task for KS3, KS4, and GCSE Maths classes!

Master the calculations of absolute values and operations on integers with this ready-to-print revision worksheet!
What is Absolute Value?
In mathematics, the absolute value (or modulus) of a real number is its non-negative value regardless of its sign. Visually, it represents the absolute distance of that number away from zero on a continuous number line.
• The absolute value of a positive number is just the number itself (e.g., |4| = 4).
• The absolute value of a negative number becomes its positive counterpart (e.g., |-8| = 8).
• The absolute value of zero is always zero (|0| = 0).

What is Included in this Resource?
• 1 PDF File containing:
o Absolute Value Basics: 10 questions prompting students to find the absolute value of integers, decimals, positive/negative fractions, and mixed numbers.
o Missing Value Identification: 6 conceptual fill-in-the-blank problems requiring students to identify original inputs within absolute value bars.
o Comparing Integers & Values: 12 inequalities where students use <, >, or = to compare absolute values against standard positive and negative integers.
o Evaluating Expressions: 8 multi-step problems featuring addition and subtraction with absolute value brackets.
o Algebraic Variable Substitution: 3 challenge problems evaluating expressions with given values for variables a and b.
o Conceptual Odd-Man-Out Challenge: 1 multi-layered expression comparison question to build deep critical thinking skills.
o Complete Teacher Answer Key: A fully populated copy of the worksheet for fast, hassle-free marking or student self-assessment.

Target Age & Curriculum Alignment:
• Ages: 11 to 16 years old (Secondary school)
• Key Stages: KS3 Math and KS4 / GCSE Mathematics revision
• Topic Focus: Number properties, operations with directed numbers, absolute value brackets, linear evaluation

No Preparation Required!
Simply download, print, and distribute to your classroom immediately. The clean, structured layout provides plenty of room for students to write out their working out clearly. No extra formatting adjustments are needed!