Evaluating Algebraic Expressions Bundle | 6th 7th 8th Grade Math Worksheets

Three worksheets on evaluating algebraic expressions by substituting given integer values. The students are required to evaluate expressions involving the four operations between integers and variables and exponents in which the base is a positive or negative integer. In the first worksheet there are expressions involving the addition, subtraction and multiplication between integers and variables and exponents. In the second worksheet there are expressions involving the four operations between integers and variables and exponents. In the third worksheet there are expressions with exponents.
Detailed solutions to all worksheets are included.

Master evaluating algebraic expressions with this massive, scaffolded 3-worksheet bundle!
Substituting positive and negative directed numbers into variable expressions is a foundational algebraic skill that students often struggle to master. This comprehensive bundle solves that problem by breaking the skill down into three perfectly progressive levels.
Whether you need introductory practice, multi-step integer review, or a rigorous challenge involving indices and fraction bars, this zero-prep bundle has you covered!

What Is Inside This Bundle?
This resource contains three completely separate worksheets, each focusing on a different level of difficulty to help you differentiate your teaching with ease:

• Worksheet 1: Introduction to Substituting IntegersA 16-problem introductory page guiding students through basic single and dual-variable substitution. Perfect for building early confidence with directed numbers.
• Worksheet 2: Advanced Substitution & OperationsA 24-problem comprehensive practice page. It ups the challenge with trickier operations, multi-step expressions, and deep integration of negative numbers.
• Worksheet 3: Evaluating Expressions with Indices (Exponents)A 24-problem mastery page. Students will evaluate highly complex algebraic expressions featuring squares, cubes, higher-order indices, and algebraic fractions.

Why Teachers Love This Resource:

• 100% No-Prep: Just print the pages and you are ready to go!
• Full Step-by-Step Answer Keys: Every single problem comes with a fully worked-out solutions page showing the exact substitution steps. This makes marking effortless and allows for easy student self-correction.
• Perfect for Differentiation: Use the worksheets across consecutive lessons to build mastery, or hand out different pages to different students based on their current maths ability.

Perfect For:

• Independent classroom practice and skill-building
• Homework assignments or weekly maths booklets
• Small group intervention and retrieval practice
• Fast finishers who need an extra algebraic challenge
• Ready-to-go cover work / supply teacher lesson plans

Skills Covered:

• Substituting positive and negative integers into expressions
• Applying the correct Order of Operations (BIDMAS / BODMAS)
• Multiplying and subtracting directed numbers
• Working with variable indices (powers, squares, and cubes)
• Simplifying algebraic fractions through substitution

Target Year Groups & Key Stages:

• Key Stage 3 (KS3): Perfectly aligned with Year 7, Year 8, and Year 9 maths curricula for expressions, equations, and directed numbers.
• Key Stage 4 (KS4 / GCSE): Excellent for Year 10 Foundation students as a refresher or intervention tool to secure essential algebra marks.

Save hours of planning time and give your students the targeted algebra practice they need to succeed!