pdf Solving Equations - Variable On Both Sides
Tagged in 6.EE, 6.EE.A.3, 6.EE.A.4, 6.EE.B.5, 6.EE.B.7, 6th grade, 7.EE, 7.EE.A.1, 7.EE.A.2, 7.EE.B.4, 7th grade, 8.ee, 8.EE.C.7, 8th grade, algebraic reasoning, combining like terms, distributive property, fractional coefficients, linear equations, multi-step equations, solving equations, variables on both sides
This worksheet provides structured practice with solving multi-step linear equations that require simplifying expressions and working with variables on both sides of the equation. Students apply inverse operations, combine like terms, use the distributive property, and simplify expressions before isolating the variable. The progression of problems reinforces equation balance while encouraging students to organize their work carefully and justify each step of the solution process.
The set includes a variety of equation types, such as \(2x-5=3x+1\) and \(4(x-2)=2x+6\), encouraging students to reason about algebraic structure rather than rely on memorized procedures. Several problems also include fractions and parentheses, requiring careful attention to order of operations, sign management, and simplifying expressions before solving.
An answer key is included for quick checking and error analysis. Some problems are marked to indicate additional instructional support, making this resource well suited for guided instruction, independent practice, homework, intervention, or review before quizzes and unit assessments.
Skills Assessed
- Solving multi-step linear equations
- Working with variables on both sides of an equation
- Applying the distributive property
- Combining like terms
- Solving equations with fractional coefficients
- Using inverse operations to isolate variables
- Maintaining equation balance throughout the solving process
Details
- 2 pages
- Multi-step equation practice
- Includes equations with parentheses and fractions
- Requires simplifying expressions before solving
- Answer key included
ID# 0843