Essential Combining Like Terms Worksheet | Grade 7-8 Math

Simplifying expressions by combining like terms is a foundational pillar of algebra. This worksheet provides Grade 7 and 8 students with focused practice in identifying and merging variables and constants within linear expressions. By mastering this skill, students build the computational fluency required for solving complex equations and advancing into higher-level mathematical modeling.

At a Glance

• Grade: 7–8 · Subject: Math
• Standard: CCSS.MATH.CONTENT.7.EE.A.1 — Apply properties of operations as strategies to add and subtract linear expressions.
• Skill Focus: Combining Like Terms
• Format: 1 page · 10 problems · Answer key included · PDF
• Best For: Independent practice or quick homework assignment
• Time: 15–20 minutes

This classroom-ready resource features ten unique algebraic expressions that challenge students to apply the distributive property and group terms with identical variables. The layout is clean and spacious, providing ample room for students to show their work. A comprehensive answer key is included, allowing for rapid grading or student self-correction during independent study sessions.

The zero-prep workflow for this resource is designed for maximum efficiency. Simply print the single-page PDF (under 1 minute), distribute it to your students (under 1 minute), and use the included answer key for a streamlined review session (under 5 minutes). This makes the worksheet an ideal solution for last-minute substitute plans, warm-ups, or exit tickets where time is of the essence.

This worksheet is strictly aligned to the CCSS.MATH.CONTENT.7.EE.A.1 standard, focusing on the manipulation of linear expressions with rational coefficients. It also supports 8.EE.C.7 by preparing students to simplify sides of an equation before solving. Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools.

Use this worksheet as a formative assessment immediately following a direct instruction lesson on algebraic properties. Observe students as they work through the first three problems to identify those struggling with sign errors or coefficient operations. It also serves as an effective "Do Now" activity to activate prior knowledge before introducing two-step equations.

This practice set is perfect for middle school students in general education algebra or pre-algebra courses. The clear structure supports students requiring additional scaffolding, while the variety of variable combinations provides enough challenge for on-grade learners. Pair this with a digital whiteboard demonstration or an anchor chart on the properties of operations for a complete instructional cycle.

Research from EdReports (2024) emphasizes that procedural fluency in expression simplification is a critical predictor of success in high school mathematics. This worksheet facilitates that fluency by providing targeted, repetitive practice that solidifies the cognitive pathways associated with term identification and variable manipulation. According to the NAEP framework, students who can accurately combine like terms demonstrate a deeper understanding of mathematical structure and the properties of operations. This resource utilizes a gradual release approach that mirrors best practices identified in Fisher & Frey (2014), moving students from simple two-term mergers to more complex multi-variable expressions. By isolating the skill of combining like terms, teachers can provide the surgical intervention necessary to close gaps in algebraic reasoning before students encounter more complex multi-step equations. This standard-aligned 7.EE.A.1 tool ensures that every practice session contributes directly to measurable student progress and mastery of the core curriculum.