Solving Equations with Fractions Worksheet Algebra 1 Practice Answer Key

A worksheet on solving linear equations with fractions. There are 24 problems.

The problems require students to solve:
•one-step equations with fractional coefficients
• two-step equations with fractional coefficients
•multi-step equations with variables on both sides and fractional coefficients
Detailed solutions are included.

Make teaching multi-step linear equations with fractions simple with this comprehensive, no-prep practice worksheet! This resource features 24 carefully scaffolded equations designed to help students build absolute fluency—ranging from straightforward one-step fraction equations to complex problems with fractions on both sides and brackets in the numerators.

Whether you need a targeted homework assignment, a structured main-lesson task, or high-quality revision/cover work, this printable resource is ready to download. It includes a complete, handwritten, step-by-step answer key.

What is Included?

• 24 Student Practice Problems: Clean, spacious layout giving students plenty of room to write out their algebraic steps.
• Complete Step-by-Step Worked Solutions: Fully worked-out answers for every single equation. This makes grading effortless and allows students to self-assess or peer-mark with ease.

Scaffolded Progressional Layout

• Questions 1–8: Basic one-step and two-step linear equations involving fractions with common denominators.
• Questions 9–16: Multi-step equations requiring students to find a lowest common multiple (LCM) to clear the denominators.
• Questions 17–24: Advanced equations requiring expanding brackets across numerators, collecting like terms, and working with variables on both sides.

UK National Curriculum & Exam Board Alignment

• Key Stage 3 (KS3) Maths: Year 8 and Year 9 Algebra — Solve linear equations with rational coefficients and those requiring algebraic fraction manipulation.
• Key Stage 4 (KS4) / GCSE Foundation & Higher: Perfect for strengthening Core Algebra skills, solving linear equations, and clearing denominators in algebraic fractions.

Versatile Uses in the Classroom

• Independent classroom practice or main lesson task
• Differentiated homework assignment or weekend revision packet
• Structured partner work or small-group remediation
• A quick, high-quality, reliable resource for supply teacher lessons