Printable 2-Step Order of Operations with Integers Worksheet

Strengthen mathematical fluency with this comprehensive 2-step order of operations worksheet focused on integers. Students practice applying PEMDAS or BODMAS rules to simplify expressions that incorporate both positive and negative numbers. This structured resource ensures learners move beyond basic arithmetic to achieve mastery in algebraic preparation and rational number manipulation through repeated, high-quality practice.

At a Glance

• Grade: 7 · Subject: Math
• Standard: 7.NS.A.3 — Solve multi-step mathematical problems involving the four operations with rational numbers
• Skill Focus: 2-Step PEMDAS with positive and negative integers
• Format: 4 pages · 40 problems · Answer key included · PDF
• Best For: Middle school algebra readiness and integer review
• Time: 25–40 minutes

What's Inside

This four-page PDF resource provides forty unique mathematical expressions for students to simplify. The worksheet is organized into four distinct parts, including basic operations, negative integer practice, mixed application, and a final challenge section. Each problem is presented in a clear, spacious box with a dedicated line for the final answer, facilitating easy grading and clear student work.

Skill Progression

• Guided Practice: The first eight problems utilize basic positive integers and simple two-step operations, such as adding a quotient, to build initial confidence with operation hierarchy.
• Supported Practice: Problems nine through twenty-four introduce negative integers into the PEMDAS sequence, requiring students to apply rules for multiplying and dividing signed numbers while maintaining the correct order.
• Independent Practice: The final sixteen problems, including the challenge section, involve more complex combinations and larger values, removing scaffolds to ensure students can independently navigate multi-step integer problems.

This gradual-release model follows the proven I Do, We Do, You Do instructional framework for maximum student growth.

Standards Alignment

The primary focus of this worksheet is `CCSS.MATH.CONTENT.7.NS.A.3`, which requires students to solve real-world and mathematical problems involving the four operations with rational numbers. It also supports `6.EE.A.2.C` by reinforcing the conventional order of operations. Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools.

How to Use It

Deploy this worksheet during the independent practice phase of your lesson on integer operations. It works exceptionally well as a summative check after teaching the individual rules for adding, subtracting, multiplying, and dividing negative numbers. As students work, observe how they handle subtraction of negative numbers within parentheses. Expect completion to take approximately thirty minutes for a standard seventh-grade cohort.

Who It's For

This resource is designed for seventh and eighth-grade students mastering pre-algebra concepts, as well as sixth-grade advanced learners. It is an ideal pairing for an anchor chart displaying PEMDAS or BODMAS rules and can be used effectively as a sub plan or a targeted intervention for students struggling with integer signs.

According to the research findings in Fisher & Frey (2014), the implementation of high-repetition practice sessions is vital for students to achieve cognitive automaticity when performing multi-step mathematical procedures. This Grade 7 worksheet specifically addresses the complexities of CCSS.MATH.CONTENT.7.NS.A.3 by requiring students to solve forty distinct 2-step order of operations problems involving integers. By integrating negative numbers into traditional PEMDAS or BODMAS structures, the resource forces learners to manage sign changes alongside operation hierarchy, a critical hurdle in middle school mathematics. Empirical data suggests that students who engage with structured, incremental problem sets demonstrate significantly higher retention rates during summative assessments compared to those using fragmented practice models. The inclusion of a challenge section further encourages higher-order thinking, ensuring that students do not merely memorize steps but understand the underlying logic of numerical relationships. This worksheet serves as a rigorous tool for building the foundational skills necessary for success in high school algebra and beyond.