Printable Integer Order of Operations Worksheet | Grade 7

Solve complex numerical expressions with confidence using this comprehensive order of operations worksheet. Designed for middle school students, this resource focuses on mastering PEMDAS through fourteen rigorous 6-step problems involving positive and negative integers. Students will develop procedural fluency and mathematical accuracy by applying rules for parentheses, exponents, multiplication, division, addition, and subtraction in the correct sequence.

At a Glance

• Grade: 7 · Subject: Math
• Standard: 7.NS.A.2 — Apply multiplication and division rules to rational numbers including integers
• Skill Focus: Multi-step Order of Operations with Integers
• Format: 5 pages · 14 problems · Answer key included · PDF
• Best For: Mid-unit practice or formative assessment
• Time: 35–45 minutes

This five-page PDF resource provides a structured workspace for students to tackle fourteen multi-step integer expressions. The worksheet is divided into two sections: Section 1 focuses on standard expressions with various operations, while Section 2 introduces more complex multi-step nested expressions. Each problem features a large, dedicated box for students to show their step-by-step calculations, promoting organized mathematical thinking. A complete answer key is provided to facilitate rapid grading or student self-correction.

Skill Progression

The problem set follows a deliberate sequence to build student competence:

• Guided practice: The first two problems feature standard expressions with four steps, allowing students to orient themselves with integer rules and the basic sequence.
• Supported practice: Problems 3 through 8 increase complexity, incorporating more negative signs and varied operations to challenge sign-rule consistency.
• Independent practice: The final six problems in the nested expressions section require students to manage multiple levels of parentheses across six or more steps.

This gradual increase in demand ensures students master individual operations before applying them within complex, nested structures.

Standards Alignment

The primary focus of this worksheet is `7.NS.A.2`, which requires students to apply and extend previous understandings of operations to multiply and divide rational numbers, specifically focusing on integers in this context. It also supports `6.EE.A.2.C` by asking students to evaluate expressions at specific values. Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools.

How to Use It

Assign this worksheet as a formal practice session following direct instruction on integer sign rules and the PEMDAS hierarchy. For a formative assessment, have students complete one problem from the nested expressions section and check their work against a partner's before proceeding. Expect most Grade 7 students to require approximately 40 minutes for thorough completion, including showing all intermediate steps.

Who It's For

This resource is ideal for Grade 6 through Grade 8 students who have mastered basic integer addition and subtraction but require more practice with complex, multi-operational strings. It serves as an excellent bridge for students transitioning into pre-algebra. Pair this worksheet with a visual anchor chart displaying PEMDAS rules and integer multiplication/division sign laws for maximum student support.

This integer operations resource is grounded in the principle of mathematical procedural fluency. According to research by Fisher & Frey (2014) on the gradual release of responsibility, structured practice that moves from standard expressions to nested, multi-step problems is essential for students to internalize the order of operations hierarchy (PEMDAS/BODMAS). By focusing on 7.NS.A.2, the worksheet addresses a critical middle school bottleneck: the consistent application of sign rules within longer computational sequences. The inclusion of dedicated workspace encourages the externalization of mathematical thinking, a practice proven to reduce cognitive load and decrease errors in multi-step problem solving. Regular use of these fourteen targeted tasks ensures that students move beyond rote memorization of acronyms and toward a deep, functional understanding of expression evaluation, providing a stable foundation for secondary algebraic coursework and real-world quantitative reasoning.