Math6-8
One-Step Equations with Fractions Practice Set
By Amy A.
A 7th-grade practice worksheet that walks students through solving one-step equations with fractions, from undoing addition and subtraction to undoing multiplication and division by fractions. It includes worked examples, a Remember callout on inverse operations, and a self-check step, making it well suited to a 30-45 minute independent or partner practice block.
Customize for your classroom
Teacher Guide & Tips
- Use this as guided practice after students have seen one-step equations with whole numbers; work Example 1 together on the board before releasing students to the problems.
- Discussion question: Why do we need a common denominator to subtract 1/2 from 5/6, and what would happen if we subtracted the numerators and denominators directly?
- Scaffold for struggling readers: Have them rewrite each equation on a separate line and circle the operation to undo before doing any arithmetic, and provide a fraction-strip or number line for finding common denominators.
- Extension for advanced students: Ask them to create their own one-step equation with a fraction coefficient, solve it, and explain why multiplying by the reciprocal works.
- Estimated time: About 30-45 minutes, including the worked examples and the check step; note that the example's decimal answer (0.333333) is a rounded value, so consider having students express the exact answer as 1/3.
Math6-8
One-Step Equations with Fractions Practice Set
By Amy A.
A 7th-grade practice worksheet that walks students through solving one-step equations with fractions, from undoing addition and subtraction to undoing multiplication and division by fractions. It includes worked examples, a Remember callout on inverse operations, and a self-check step, making it well suited to a 30-45 minute independent or partner practice block.
Customize for your classroom
Teacher Guide & Tips
- Use this as guided practice after students have seen one-step equations with whole numbers; work Example 1 together on the board before releasing students to the problems.
- Discussion question: Why do we need a common denominator to subtract 1/2 from 5/6, and what would happen if we subtracted the numerators and denominators directly?
- Scaffold for struggling readers: Have them rewrite each equation on a separate line and circle the operation to undo before doing any arithmetic, and provide a fraction-strip or number line for finding common denominators.
- Extension for advanced students: Ask them to create their own one-step equation with a fraction coefficient, solve it, and explain why multiplying by the reciprocal works.
- Estimated time: About 30-45 minutes, including the worked examples and the check step; note that the example's decimal answer (0.333333) is a rounded value, so consider having students express the exact answer as 1/3.