Solving Equations with Variables on Both Sides
A practice set of four problems for 8th graders that walks through solving linear equations with variables on both sides, using a three-step method: move the smaller variable term, move constants, then divide or multiply to isolate x. Each problem is worked step by step, with a worked example and a check-your-answer routine to build algebraic reasoning and careful equation handling.
Teacher Guide & Tips
- Use this as a 30 to 40 minute independent or partner practice block after you have modeled the worked example together on the board.
- Discussion question: Why does it matter which variable term you move first, and what would change if you moved the larger one instead?
- Scaffold for struggling readers: Have them write each step on a separate line with the operation noted beside it (as the worked example does), and check each answer by substituting back into the original equation.
- Extension for advanced students: Ask them to create their own equation with a fractional or negative coefficient on both sides and explain each step to a partner.
- Estimated time: About 5 minutes per problem, plus a few minutes for a whole-class answer review at the end.
Solving Equations with Variables on Both Sides
A practice set of four problems for 8th graders that walks through solving linear equations with variables on both sides, using a three-step method: move the smaller variable term, move constants, then divide or multiply to isolate x. Each problem is worked step by step, with a worked example and a check-your-answer routine to build algebraic reasoning and careful equation handling.
Teacher Guide & Tips
- Use this as a 30 to 40 minute independent or partner practice block after you have modeled the worked example together on the board.
- Discussion question: Why does it matter which variable term you move first, and what would change if you moved the larger one instead?
- Scaffold for struggling readers: Have them write each step on a separate line with the operation noted beside it (as the worked example does), and check each answer by substituting back into the original equation.
- Extension for advanced students: Ask them to create their own equation with a fractional or negative coefficient on both sides and explain each step to a partner.
- Estimated time: About 5 minutes per problem, plus a few minutes for a whole-class answer review at the end.