Printable Adding Polynomials Worksheet | Grade 7 Math

This worksheet provides targeted practice for Grade 7 students on adding polynomials. Through a set of 10 carefully selected problems, learners will reinforce their ability to identify and combine like terms, a foundational skill in algebra. It is designed to build procedural fluency and confidence in manipulating algebraic expressions.

At a Glance

• Grade: 7 · Subject: Math
• Standard: CCSS.MATH.CONTENT.7.EE.A.1 — Apply properties of operations to add, subtract, and expand algebraic expressions.
• Skill Focus: Adding Polynomials
• Format: 4 pages · 10 problems · Answer key included · PDF
• Best For: Independent practice, homework, or formative assessment.
• Time: 15–25 minutes

What's Inside

This resource is a four-page PDF worksheet. The first three pages contain eight problems for adding polynomials. The fourth page offers two "Extra Practice" problems. A complete four-page answer key is included, showing the simplified solution for each problem, making review straightforward.

Skill Progression

The worksheet follows a gradual release model.

• Guided Practice: The first problems feature simpler polynomials, allowing students to focus on combining like terms with positive and negative coefficients.
• Supported Practice: Later problems introduce more complexity with higher-degree terms, requiring greater attention to detail.
• Independent Practice: The final "Extra Practice" section serves as a check for understanding, presenting problems students should solve independently.

This structure helps students build confidence before tackling complex examples.

Standards Alignment

This worksheet aligns with CCSS.MATH.CONTENT.7.EE.A.1, which focuses on applying properties of operations to algebraic expressions. The skill of combining like terms is foundational for this standard and for future algebra success. The standard code can be copied directly into lesson plans or curriculum maps.

How to Use It

Use this flexible resource after a direct instruction lesson for independent homework or as an in-class activity for pairs. For formative assessment, observe which term types cause the most difficulty for students. The activity is designed to be completed in approximately 15-25 minutes.

Who It's For

This worksheet is designed for 7th-grade math students learning algebra. It's also suitable for advanced 6th graders or for 8th graders needing review. For extra support, pair this with a visual anchor chart defining "like terms." For an extension, have students create their own problems to trade with a partner.

Providing structured, repetitive practice in core procedural skills like adding polynomials is critical for developing algebraic fluency. This worksheet supports CCSS.MATH.CONTENT.7.EE.A.1, which focuses on applying operational properties to algebraic expressions. Research from the RAND AIRS (2024) study highlights the importance of practice in building automaticity, freeing up cognitive resources for more complex problem-solving. By offering 10 distinct problems, this resource gives students the deliberate practice needed to master the process of identifying and combining like terms. The clear progression from simpler to more complex examples ensures that students build a solid foundation in polynomial operations, a key predictor of success in higher-level mathematics. This targeted approach is essential for ensuring all students meet grade-level expectations in algebra.