🔮 Algebra Realm · Equations
One-step division equations focuses on how to undo division by multiplying both sides by the divisor. In this lesson, focus on an equation is a balanced statement.
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One-step division equations focuses on how to undo division by multiplying both sides by the divisor. In this lesson, focus on an equation is a balanced statement.
An equation is a balanced statement. Undo operations in a controlled order while performing the same change to both sides. For one-step division equations, the final written answer should make that exact relationship visible rather than hiding it inside an unexplained result.
One-step division equations: An equation is a balanced statement. Substitute the proposed solution into the original equation and verify that both sides match. Keep the one-step division equations representation visible until the final line.
Move algebra tiles across a balance scale and record each legal inverse operation as a solver step. Use the model to explain one change you notice while working on one-step division equations.
Substitute the proposed solution into the original equation and verify that both sides match. Write that check beside the final one-step division equations answer.
x / 4 = 6 gives x = 24.
Visual / interactive
Move algebra tiles across a balance scale and record each legal inverse operation as a solver step. Use the model to explain one change you notice while working on one-step division equations.
Worked examples
Understand the idea with small numbers, one representation and one clear step.
Use the standard Year 8 method with mixed examples and normal wording.
Handle multi-step or less familiar questions and explain choices.
Solve a worded question, show reasoning, check accuracy and write a final sentence.
Given information: One-step division equations — Solve x + 3 = 5. Method choice: use the one-step division equations method and show each step with the stated values. Calculation or reasoning: Subtract 3 from both sides: x = 5 − 3 = 2. Final answer: 2. Check: substitute or compare with the original information to confirm the result fits the question.
Given information: One-step division equations — Solve x + 3 = 17. Method choice: use the one-step division equations method and show each step with the stated values. Calculation or reasoning: Subtract 3 from both sides: x = 17 − 3 = 14. Final answer: 14. Check: substitute or compare with the original information to confirm the result fits the question.
Check: Divide again to confirm the original share.
Given information: One-step division equations — Solve x + 3 = 16. Method choice: use the one-step division equations method and show each step with the stated values. Calculation or reasoning: Subtract 3 from both sides: x = 16 − 3 = 13. Final answer: 13. Check: substitute or compare with the original information to confirm the result fits the question.
Try explaining why each step works before checking the answer.
Given information: One-step division equations — Solve x + 3 = 15. Method choice: use the one-step division equations method and show each step with the stated values. Calculation or reasoning: Subtract 3 from both sides: x = 15 − 3 = 12. Final answer: 12. Check: substitute or compare with the original information to confirm the result fits the question.
Substitute the proposed solution into the original equation and verify that both sides match. Write that check beside the final one-step division equations answer.
Create a one-step division equations problem with a tempting incorrect answer. Solve it, apply the check, and explain exactly where the incorrect method breaks down.
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Use balance battle controls to solve three checked one-step division equations rounds. Solve at least two of three marked rounds and use feedback to correct any error.
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One-step division equations: An equation is a balanced statement. Substitute the proposed solution into the original equation and verify that both sides match. Keep the one-step division equations representation visible until the final line.
Tap to mark reviewedequation · inverse operation · balance · unknown · solution · one · step
Tap to mark reviewedSimplify either side if needed. Choose an inverse operation that removes one obstacle around the unknown. Apply the same operation to both sides. Continue until the unknown is isolated, then substitute to check. Record the check explicitly for one-step division equations.
Tap to mark reviewedx / 4 = 6 gives x = 24.
Tap to mark reviewedGiven information: One-step division equations — Solve x + 3 = 5. Method choice: use the one-step division equations method and show each step with the stated values. Calculation or reasoning: Subtract 3 from both sides: x = 5 − 3 = 2. Final answer: 2. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedGiven information: One-step division equations — Solve x + 3 = 17. Method choice: use the one-step division equations method and show each step with the stated values. Calculation or reasoning: Subtract 3 from both sides: x = 17 − 3 = 14. Final answer: 14. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedGiven information: One-step division equations — Solve x + 3 = 16. Method choice: use the one-step division equations method and show each step with the stated values. Calculation or reasoning: Subtract 3 from both sides: x = 16 − 3 = 13. Final answer: 13. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedGiven information: One-step division equations — Solve x + 3 = 15. Method choice: use the one-step division equations method and show each step with the stated values. Calculation or reasoning: Subtract 3 from both sides: x = 15 − 3 = 12. Final answer: 12. Check: substitute or compare with the original information to confirm the result fits the question.
Tap to mark reviewedChanging one side only. This is a key trap when answering one-step division equations questions.
Tap to mark reviewedFor one-step division equations, show the key representation before the final calculation. Use this final check: Substitute the proposed solution into the original equation and verify that both sides match.
Tap to mark reviewedUnknown prices, Formula calculations
Tap to mark reviewedI can explain one-step division equations, use the method, check for mistakes, and answer an exam-style question.
Tap to mark reviewedI’m Stuck
Use this whenever a question feels confusing. Nothing here is locked.
One-step division equations: An equation is a balanced statement. Substitute the proposed solution into the original equation and verify that both sides match. Keep the one-step division equations representation visible until the final line.
Think of one-step division equations as a careful model: make the important values visible, change one thing at a time, and use the check to prove the answer fits.
Start by naming the given information and the exact result required for one-step division equations.
Simplify either side if needed.
Given information: One-step division equations — Solve x + 3 = 5. Method choice: use the one-step division equations method and show each step with the stated values. Calculation or reasoning: Subtract 3 from both sides: x = 5 − 3 = 2. Final answer: 2. Check: substitute or compare with the original information to confirm the result fits the question.
Method: Simplify either side if needed. → Choose an inverse operation that removes one obstacle around the unknown. → Apply the same operation to both sides. → Continue until the unknown is isolated, then substitute to check. Record the check explicitly for one-step division equations.
Changing one side only. This is a key trap when answering one-step division equations questions.
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