Linear Equations with Variables on Both Sides

Help students master one of the most important algebra skills with this interactive worksheet focused on linear equations with variables on both sides. Students apply the distributive property, combine like terms, and isolate the variable to solve equations accurately and confidently.


What students will do

  • Solve equations with variables on both sides
  • Apply the distributive property correctly
  • Combine like terms before isolating the variable
  • Identify equations with one solution, no solution, or infinitely many solutions
  • Receive instant feedback through auto-grading


Key features

  • Supports randomization for individualized student practice
  • Clean, practice-focused design for fluency building
  • Ideal for classwork, homework, or formative assessment


Standards Alignment

  • CCSS.MATH.CONTENT.8.EE.C.7


Perfect as a follow-up to one- and two-step equations, this worksheet builds the procedural fluency students need for algebra, functions, and systems of equations.

Learning Objective

Students will solve linear equations with variables on both sides by using the distributive property, combining like terms, and isolating the variable, including identifying equations with no solution or infinitely many solutions.

Randomization Available

This worksheet supports randomization. When enabled, each student receives different equations involving variables on both sides and distribution.

💡 Tip: When assigning this activity to your classroom, you can optionally enable randomization to give each student a unique version of the problems. When you re-assign the same worksheet, each student will get a new set of questions, helping them master the content through repeated practice.

Linear Equations with Variables on Both Sides
Grade Level
8
Type
Skill Mastery
Duration
20 minutes
Auto-Graded
Yes
Randomized
Yes
Topics
Equivalent Expressions, Solving Equations, Linear Equations, Systems of Equations
Tags