Practice solving linear equations with variables on both sides. Students use distribution, combine like terms, and isolate the variable in this auto-graded worksheet. Supports randomization so every student receives unique equations. Ideal for Grade 8 algebra practice aligned to CCSS 8.EE.C.7.
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
Key features
Standards Alignment
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.
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.
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.
Solve linear equations in one variable.
All 8.EE.C.7 activities →Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form *x* = *a*, *a* = *a*, or *a* = *b* results (where *a* and *b* are different numbers).
All 8.EE.C.7a activities →Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
All 8.EE.C.7b activities →More interactive, auto-graded activities on the same standards and topics.
Apply algebra to real life with this interactive worksheet on solving linear equations. Students write and solve equations from real-world scenarios, interpret solutions, and identify special cases like no solution or infinite solutions. Supports randomization so every student receives unique problems. Aligned to Grade 8 standard 8.EE.C.7.
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