Combining Like Terms Worksheet | Grade 5 Essential

This Grade 5 algebraic expressions worksheet helps students master the distributive property and combining like terms through a matching activity. By simplifying complex expressions into their most basic forms, learners develop the fluency required for middle school algebra. This resource ensures students can identify equivalent expressions with accuracy and confidence.

At a Glance

• Grade: 5 · Subject: Math
• Standard: CCSS.MATH.CONTENT.6.EE.A.3 — Apply properties of operations to generate equivalent expressions
• Skill Focus: Distributive property and combining like terms
• Format: 1 page · 39 problems · Answer key included · PDF
• Best For: Independent practice, homework, or fast finishers
• Time: 20–30 minutes

The worksheet features a grid of 39 individual boxes. The top portion contains 20 expressions that require applying the distributive property, such as multiplying a constant by a binomial. The bottom portion provides the simplified results. Students must calculate the value of each expression and color the matching boxes the same color to complete the activity.

This zero-prep workflow is designed for busy educators. First, print the single-page PDF (30 seconds). Next, distribute the sheets to students and provide colored pencils or crayons (1 minute). Finally, use the included answer key to review results as a whole group or during individual check-ins (5 minutes). This structure makes it an ideal sub plan for any math classroom.

This resource aligns with CCSS.MATH.CONTENT.6.EE.A.3, which focuses on applying properties of operations to generate equivalent expressions. Students specifically practice the distributive property to transform expressions like 3(2 + x) into 6 + 3x. Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools.

Use this worksheet as a formative assessment after a direct instruction lesson on algebraic properties. It works well as a Friday activity where students can collaborate in pairs to find matching colors. Teachers should observe if students are correctly distributing the coefficients, which is a common area for calculation errors during independent practice.

This activity is perfect for Grade 5 students ready for enrichment or Grade 6 students practicing core algebraic skills. It supports visual learners through the coloring component. Pair this worksheet with a distributive property anchor chart or a short video tutorial to provide students with a visual reference during their independent work session.

According to Fisher & Frey (2014), the use of scaffolded practice that moves from guided identification to independent application is critical for mathematical fluency. This worksheet utilizes a matching format to provide immediate feedback; if a student cannot find a matching simplified expression, they know they must re-evaluate their calculation. Research from the NAEP indicates that students who engage with multiple representations of algebraic expressions, including equivalent forms, show higher retention rates in secondary mathematics. By focusing on CCSS.MATH.CONTENT.6.EE.A.3, this resource targets the specific skill of generating equivalent expressions through the distributive property. The coloring task reduces math anxiety while maintaining high cognitive demand, allowing students to focus on the procedural steps of simplification. This approach aligns with evidence-based practices for middle-grade math instruction, ensuring that students build a robust foundation for solving complex equations in later grades.