Combining Like Terms Worksheet | Essential Grade 7 Math

This Grade 7 algebra worksheet helps students master the fundamental skill of simplifying expressions by combining like terms. By working through 15 structured problems, learners move from basic variable grouping to complex multi-term challenges involving geometry and the distributive property. It provides a clear path toward algebraic fluency and mastery.

At a Glance

• Grade: 7 · Subject: Math
• Standard: 7.EE.A.1 — Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions
• Skill Focus: Combining Like Terms
• Format: 3 pages · 15 problems · Answer key included · PDF
• Best For: Middle school algebra introductory practice
• Time: 30–45 minutes

The resource includes three pages of student content and a full answer key. It features a "Golden Rule" reference box to anchor student understanding, followed by four distinct sections: basic combinations, intermediate multi-term challenges, geometry applications for perimeter, and "Ultimate Challenge" problems that incorporate the distributive property and negative signs.

Skill Progression

• Guided Practice: The first 6 problems focus on simple two-variable combinations, allowing students to apply the "Golden Rule" with immediate success.
• Supported Practice: 4 intermediate problems increase the term count, requiring students to track multiple variables and constants within a single expression.
• Independent Practice: The final 5 problems apply skills to real-world geometry perimeters and complex expressions involving parentheses, ensuring students can transfer knowledge.

This gradual-release model follows the I Do, We Do, You Do instructional framework to build student confidence and procedural fluency.

Standards Alignment

This worksheet is aligned to CCSS.MATH.CONTENT.7.EE.A.1, which requires students to apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. It also supports CCSS.MATH.CONTENT.6.EE.A.3 by focusing on generating equivalent expressions. Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools.

How to Use It

Use this worksheet during the "We Do" phase of a lesson on algebraic properties. It works effectively as a formative assessment after direct instruction on variable coefficients. Teachers should observe Part 3 (Geometry) to see if students can translate visual shapes into algebraic sums. Completion typically takes 30 to 45 minutes.

Who It's For

This resource is designed for Grade 7 students but serves as an excellent extension for Grade 6 or a review for Grade 8. It is ideal for general education classrooms, small group intervention, or as a supplemental resource paired with an anchor chart on variable properties.

According to Fisher & Frey (2014), the gradual release of responsibility is vital for mathematical proficiency, particularly when transitioning from concrete arithmetic to abstract algebraic reasoning. This worksheet embodies that research by scaffolding the concept of "like terms" through four distinct levels of cognitive demand. By starting with basic variable grouping and ending with the distributive property and geometric application, the resource ensures that students do not just memorize a rule but understand the underlying logic of equivalent expressions. The inclusion of a "Golden Rule" visual aid serves as a permanent scaffold that reduces cognitive load during the initial practice phase. Data from NAEP suggests that middle school students often struggle with negative signs and multi-step simplification; this resource specifically targets those friction points in the "Ultimate Challenge" section to prepare learners for high school algebra.