Combining Like Terms Worksheet | Essential Grade 7 Math

This Grade 7 math worksheet provides targeted practice in simplifying algebraic expressions. Students will apply the distributive property and combine like terms to find equivalent expressions across 16 multiple-choice problems. By identifying coefficients and constants, learners build the foundational fluency required for solving complex multi-step equations in later units.

At a Glance

• Grade: 7 · Subject: Math
• Standard: CCSS.MATH.CONTENT.7.EE.A.1 — Apply properties of operations to add, subtract, factor, and expand linear expressions
• Skill Focus: Combining Like Terms
• Format: 2 pages · 16 problems · Answer key included · PDF
• Best For: Independent practice or formative assessment
• Time: 20–30 minutes

The resource contains two pages featuring 16 unique multiple-choice questions. Each problem requires students to evaluate a linear expression involving variables and constants. The layout includes distributive property challenges, such as 3(9x - 8), alongside standard addition and subtraction of like terms. A clear multiple-choice format allows for quick grading and immediate feedback during the learning process.

Skill Progression

• Guided Practice: The first 5 problems introduce basic combinations of two terms and simple distribution to build initial confidence.
• Supported Practice: Problems 6 through 12 increase complexity by introducing negative coefficients and three-term expressions.
• Independent Practice: The final set of problems requires students to manage multiple operations and signs simultaneously without additional scaffolding.

This sequence follows a gradual-release model, moving from basic recognition to operational fluency in algebraic manipulation.

Standards Alignment
This worksheet is directly aligned with `CCSS.MATH.CONTENT.7.EE.A.1`, which asks students to "Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients." It also supports Grade 6 standards regarding 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 independent practice phase of a lesson after demonstrating the distributive property. It serves as an excellent exit ticket or a quick formative assessment to check for common errors, such as forgetting to distribute to the second term in a parenthesis. Expect students to complete the 16 tasks within 25 minutes.

Who It's For
This resource is designed for Grade 7 students mastering algebraic foundations, though it is highly effective for Grade 6 acceleration or Grade 8 intervention. It pairs naturally with an anchor chart demonstrating the "shapes method" for grouping like terms or a direct instruction lesson on integer operations.

Algebraic fluency is a critical predictor of success in high school mathematics. According to research from EdReports 2024, consistent practice with equivalent expressions under CCSS.MATH.CONTENT.7.EE.A.1 ensures that students can transition from arithmetic to abstract reasoning. This worksheet focuses on the specific skill of combining like terms, which requires students to distinguish between variable coefficients and constant terms. By providing 16 structured multiple-choice opportunities, the resource allows for the repetition necessary to internalize operational properties. Fisher & Frey (2014) emphasize that such targeted practice, when used as part of a gradual release of responsibility, helps bridge the gap between teacher modeling and independent mastery. This PDF is a reliable tool for ensuring students meet middle school algebra benchmarks effectively.