Operations and Equations with Rational Numbers Worksheet Bundle (with Solutions)

Six worksheets on operations and equations with rational numbers.

• There is one worksheet on each of the following topics:
• Adding and Subtracting Rational Numbers
• Multiplying and Dividing Rational Numbers
• Powers of Rational Numbers
• Order of Operations with Rational Numbers
• Solving Two Step Equations with Rational Numbers
• Solving Equations with Rational Numbers
  There are 47 pages in total. Detailed solutions to all worksheets are included.

Equip your students with everything they need to master rational numbers with this comprehensive, ready-to-print worksheet bundle. This resource is carefully structured to transition students smoothly from basic arithmetic operations to solving complex algebraic equations involving fractions, decimals, mixed numbers, and integers.
This complete download features multiple targeted practice sets designed to build computational confidence and algebraic fluency, accompanied by a step-by-step worked solutions key to save you hours of grading time!

What’s Included in this Bundle:

• Adding & Subtracting Rational Numbers: Practice handling positive and negative signs, common denominators, and decimals.
• Multiplying & Dividing Rational Numbers: Layouts to master operations with integer, fractional, and decimal terms.
  Powers of Rational Numbers: Exercises targeting base-exponent notation, negative bases, and arranging numbers in order.
• Order of Operations (PEMDAS / BODMAS): Multi-step calculations grouping operations with fractional terms and parentheses.
• Solving Two-Step Linear Equations: Isolation of variables mixed with rational coefficients.
• Solving Multi-Step Linear Equations: Advanced equations featuring distribution, variables on both sides, and clearing denominators.
• Complete Step-by-Step Worked Solutions: A comprehensive answer key displaying every algebraic step to support easy grading, peer review, or self-correction.

Core Skills Covered:

• Applying arithmetic operations on positive and negative rational numbers.
• Evaluating powers, ordering values, and simplifying complex operations.
• Applying inverse operations to isolate variables in two-step and multi-step contexts.
• Expanding brackets and simplifying multi-step algebraic terms.

Perfect For:

• Core instructional material, homework assignments, or structured packets
• Targeted intervention, remedial review sessions, and test preparation
• No-prep, highly professional sub plans for substitute teacher days
• Curriculum Alignment: Suited for US Common Core (Middle School Math, Pre-Algebra, Algebra 1) and UK National Curriculum (KS3/KS4 Maths).

Terms of Use: This bundle is for single-classroom use only. Digital redistribution, public hosting, or commercial use is strictly prohibited.