One-Step Equations Guided Practice for 7th Grade
A guided-notes packet of about 20 problems that walks 7th graders through solving one-step equations with inverse operations, moving from scaffolded examples to independent practice and a two-question exit ticket. It builds skills in identifying the operation on a variable, applying inverse operations to both sides, and checking solutions by substitution, with sentence stems that prompt students to explain each move.
“One-Step Equations Guided Practice Worksheet Name: _________________________________ Date: ____________ Guided Notes Key Vocabulary Equation: A math sentence with an equals sign. Inverse Operations: Operations that "undo" each other. Addition ↔ Subtraction Multiplication ↔ Division Steps for Solving One-Step Equations Identify the operation attached to the variable. Use the inverse operation on both sides of the equation. Simplify. Check your answer by substituting it back into the original equation. Sentence Stems The variable is being __________ by ________. To isolate the variable, I will __________ both sides. After performing the inverse operation, I get __________. Therefore, the value of ______ is __________. I checked my answer by substituting __________ into the equation. Example A Solve: x - 8 = 12 The variable is being __________________________. To isolate x, I will __________________________. x - 8 + _____ = 12 + _____ x = _______ Check: _______ - 8 = 12 ✓ Example B Solve: -5y = 25 The variable is being __________________________. To isolate y, I will __________________________. -5y ÷ _____ = 25 ÷ _____ y = _______ Check: -5(_____) = 25 ✓ Guided Practice 1. x - 6 = 14 The variable is being __________________________. Inverse operation: __________________________ x = ______ 2. n + 12 = -5 The variable is being __________________________. Inverse operation: __________________________ n = ______ 3. a - 19 = 4 The variable is being __________________________. Inverse operation: __________________________ a = ______ 4. p + 7 = 25 The variable is being __________________________. Inverse operation: __________________________ p = ______ 5. -8m = 48 The variable is being __________________________. Inverse operation: __________________________ m = ______ 6. 6r = -54 The variable is being __________________________. Inverse operation: __________________________ r = ______ 7. k ÷ 3 = 11 The variable is being __________________________. Inverse operation: __________________________ k = ______ 8. t ÷ 4 = -9 The variable is being __________________________. Inverse operation: __________________________ t = ______ 9. w - 32 = -10 The variable is being __________________________. Inverse operation: __________________________ w = ______ 10. c + 18 = -7 The variable is being __________________________. Inverse operation: __________________________ c = ______ Independent Practice Solve each equation. Show all work. 11. b - 15 = 20 12. x + 27 = 45 13. g - 41 = -8 14. z + 14 = -16 15. -7h = 56 16. 9q = -81 17. d ÷ 5 = 14 18. r ÷ 8 = -6 19. m - 26 = 17 20. y + 39 = -12 Exit Ticket Use complete sentences. 1. How do you know whether to add, subtract, multiply, or divide when solving an equation? 2. Why must you do the same operation to both sides of the equation?”
Teacher Guide & Tips
- Use this as a whole-class lesson or a 45-minute block: start with Examples A and B together, then have students complete problems 1-10 in pairs before moving to independent practice.
- Discussion question: Why does dividing both sides by -5 keep the equation balanced, and how can the check step confirm that a negative answer is correct?
- Scaffold for struggling readers: Have them fill in the sentence stems aloud before writing, and provide a number line or the hanger graphic to visualize adding or subtracting the same amount from both sides.
- Extension for advanced students: Ask them to write their own one-step equation with a negative variable coefficient and a negative solution, then trade with a partner to solve and check.
- Estimated time: about 10 minutes for the notes and examples, 20 minutes for guided practice, 15 minutes for independent practice, and 5 minutes for the exit ticket.
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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“One-Step Equations Guided Practice Worksheet Name: _________________________________ Date: ____________ Guided Notes Key Vocabulary Equation: A math sentence with an equals sign. Inverse Operations: Operations that "undo" each other. Addition ↔ Subtraction Multiplication ↔ Division Steps for Solving One-Step Equations Identify the operation attached to the variable. Use the inverse operation on both sides of the equation. Simplify. Check your answer by substituting it back into the original equation. Sentence Stems The variable is being __________ by ________. To isolate the variable, I will __________ both sides. After performing the inverse operation, I get __________. Therefore, the value of ______ is __________. I checked my answer by substituting __________ into the equation. Example A Solve: x - 8 = 12 The variable is being __________________________. To isolate x, I will __________________________. x - 8 + _____ = 12 + _____ x = _______ Check: _______ - 8 = 12 ✓ Example B Solve: -5y = 25 The variable is being __________________________. To isolate y, I will __________________________. -5y ÷ _____ = 25 ÷ _____ y = _______ Check: -5(_____) = 25 ✓ Guided Practice 1. x - 6 = 14 The variable is being __________________________. Inverse operation: __________________________ x = ______ 2. n + 12 = -5 The variable is being __________________________. Inverse operation: __________________________ n = ______ 3. a - 19 = 4 The variable is being __________________________. Inverse operation: __________________________ a = ______ 4. p + 7 = 25 The variable is being __________________________. Inverse operation: __________________________ p = ______ 5. -8m = 48 The variable is being __________________________. Inverse operation: __________________________ m = ______ 6. 6r = -54 The variable is being __________________________. Inverse operation: __________________________ r = ______ 7. k ÷ 3 = 11 The variable is being __________________________. Inverse operation: __________________________ k = ______ 8. t ÷ 4 = -9 The variable is being __________________________. Inverse operation: __________________________ t = ______ 9. w - 32 = -10 The variable is being __________________________. Inverse operation: __________________________ w = ______ 10. c + 18 = -7 The variable is being __________________________. Inverse operation: __________________________ c = ______ Independent Practice Solve each equation. Show all work. 11. b - 15 = 20 12. x + 27 = 45 13. g - 41 = -8 14. z + 14 = -16 15. -7h = 56 16. 9q = -81 17. d ÷ 5 = 14 18. r ÷ 8 = -6 19. m - 26 = 17 20. y + 39 = -12 Exit Ticket Use complete sentences. 1. How do you know whether to add, subtract, multiply, or divide when solving an equation? 2. Why must you do the same operation to both sides of the equation?”
Teacher Guide & Tips
- Use this as a whole-class lesson or a 45-minute block: start with Examples A and B together, then have students complete problems 1-10 in pairs before moving to independent practice.
- Discussion question: Why does dividing both sides by -5 keep the equation balanced, and how can the check step confirm that a negative answer is correct?
- Scaffold for struggling readers: Have them fill in the sentence stems aloud before writing, and provide a number line or the hanger graphic to visualize adding or subtracting the same amount from both sides.
- Extension for advanced students: Ask them to write their own one-step equation with a negative variable coefficient and a negative solution, then trade with a partner to solve and check.
- Estimated time: about 10 minutes for the notes and examples, 20 minutes for guided practice, 15 minutes for independent practice, and 5 minutes for the exit ticket.
One-Step Equations Guided Practice for 7th Grade
A guided-notes packet of about 20 problems that walks 7th graders through solving one-step equations with inverse operations, moving from scaffolded examples to independent practice and a two-question exit ticket. It builds skills in identifying the operation on a variable, applying inverse operations to both sides, and checking solutions by substitution, with sentence stems that prompt students to explain each move.
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