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.
“Create a 4 problem assignment for solving equations with variables on both sides. Have students work through the steps for each problem starting with moving the smallest variable, move constants to the other side, then divide or multiply off the coefficient”
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.
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Try Diffit for free“Create a 4 problem assignment for solving equations with variables on both sides. Have students work through the steps for each problem starting with moving the smallest variable, move constants to the other side, then divide or multiply off the coefficient”
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.
What is Diffit?
Teachers use Diffit to get quality materials for their unique classrooms. Adjust difficulty, add scaffolds, or change the topic to get started.
Try Diffit for free