Printable Order of Operations with Integers | Grade 7 Math

Mastering the order of operations with negative integers is a fundamental step toward algebraic success. This comprehensive 4-page worksheet provides students with targeted practice in simplifying expressions using PEMDAS or BODMAS rules. By working through thirty structured problems, learners gain the confidence needed to handle complex signs and exponents.

At a Glance

• Grade: 7 · Subject: Math
• Standard: 7.NS.A.2 — Multiply and divide rational numbers within complex multi-step arithmetic expressions
• Skill Focus: Integer Order of Operations (PEMDAS)
• Format: 4 pages · 30 problems · Answer key included · PDF
• Best For: Independent practice and integer sign mastery
• Time: 25–35 minutes

This resource features 30 unique mathematical expressions spread across four clearly organized pages. The worksheet is divided into three distinct phases: Basic 2-Step Expressions, Extended Practice, and a final Mastery Challenge. Each problem box provides ample white space for students to show their work, facilitating better teacher review. A complete, high-resolution answer key is included to allow for rapid grading or student self-check.

Skill Progression

• Guided practice: The initial section offers eight 2-step problems that isolate specific operations with small negative integers, providing immediate reinforcement of procedural rules.
• Supported practice: The extended practice section introduces larger numbers and multiple negative signs to test consistency and sign-management accuracy.
• Independent practice: The Mastery Challenge provides complex, multi-sign expressions that require total precision and fluent application of exponents and parentheses.

This sequence follows a gradual-release model, ensuring students move from simple recall to confident, independent application of PEMDAS in algebraic contexts.

Standards Alignment

The primary alignment for this resource is standard 7.NS.A.2, which requires students to apply and extend previous understandings of multiplication and division to multiply and divide rational numbers. It also supports 6.EE.A.1 by incorporating exponents into multi-step problems. Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools.

How to Use It

Use this worksheet as a primary practice tool after a direct instruction lesson on integer multiplication and division rules. It works exceptionally well as a formative assessment mid-unit; observe students during the second page to identify those struggling with sign-flipping before they reach the Mastery Challenge. Expected completion time ranges from 25 to 35 minutes depending on student fluency. For an extension, have students create their own multi-step expressions for a partner to solve.

Who It's For

This resource is designed for Grade 7 math students but is also appropriate for Grade 8 review or Grade 6 acceleration. It is a natural pairing for an integer rules anchor chart or a signs-of-operations guided notes sheet, providing the volume of practice necessary for procedural automaticity.

This Grade 7 math resource provides a structured pathway for students to master the order of operations involving negative integers, a critical bridge between elementary arithmetic and algebraic readiness. By integrating 30 distinct tasks that progress from basic two-step expressions to complex mastery challenges, the worksheet aligns directly with standard 7.NS.A.2, ensuring students can fluently multiply, divide, and add rational numbers within multi-step contexts. According to research by Fisher & Frey (2014), the use of scaffolds like PEMDAS/BODMAS cues alongside a gradual release of responsibility model—transitioning from guided to independent practice—significantly improves student retention of procedural rules. This worksheet implements these findings through tiered sections that isolate negative integer sign management before introducing nested operations. Educators can use this data-driven tool to provide essential practice that solidifies the mental models required for secondary mathematics. The inclusion of a full answer key further supports immediate feedback and self-correction.