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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 271 · 40 sums
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The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

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  1. 1.Solve: 3t − 31 = 14. What is t?
  2. 2.Solve: 3x − 2 = 4. What is x?
  3. 3.Solve: 7x − 70 = 28. What is x?
  4. 4.Solve: 3p + 27 = 36. What is p?
  5. 5.Solve: 9(m + 5) = 162. What is m?
  6. 6.Lakshmi thinks of a number, multiplies it by 9 and then adds 27. The result is 117. What is the number?
  7. 7.Solve: 9(n + 2) = 117. What is n?
  8. 8.Rohan thinks of a number, multiplies it by 8 and then adds 20. The result is 84. What is the number?
  9. 9.Saanvi thinks of a number, multiplies it by 3 and then adds 8. The result is 17. What is the number?
  10. 10.Solve: 2(n + 1) = 30. What is n?
  11. 11.Solve: n/9 + 19 = 20. What is n?
  12. 12.Solve: p/3 + 11 = 15. What is p?
  13. 13.Solve: 2(t + 6) = 40. What is t?
  14. 14.Solve: 7(t + 3) = 84. What is t?
  15. 15.Diya thinks of a number, multiplies it by 9 and then adds 20. The result is 119. What is the number?
  16. 16.Riya is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  17. 17.Solve: 6y − 21 = 3. What is y?
  18. 18.Solve: p/5 + 16 = 19. What is p?
  19. 19.Solve: 8x + 26 = 50. What is x?
  20. 20.Solve: 4m − 31 = 9. What is m?
  21. 21.Solve: 8n − 110 = 10. What is n?
  22. 22.Kavya’s mother is three times as old as Kavya. Their ages add up to 32 years. How old is Kavya?
  23. 23.Solve: 8p − 21 = 3. What is p?
  24. 24.Tara is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  25. 25.Solve: 7n + 25 = 130. What is n?
  26. 26.Solve: 7y − 1 = 6. What is y?
  27. 27.Solve: 6t − 52 = 32. What is t?
  28. 28.Solve: 2y − 3 = 5. What is y?
  29. 29.Solve: p/3 + 3 = 4. What is p?
  30. 30.Solve: y/5 + 7 = 16. What is y?
  31. 31.Rahul thinks of a number, multiplies it by 2 and then adds 12. The result is 16. What is the number?
  32. 32.Nisha thinks of a number, multiplies it by 9 and then adds 12. The result is 129. What is the number?
  33. 33.Karan is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  34. 34.Solve: n/5 + 15 = 25. What is n?
  35. 35.Manav thinks of a number, multiplies it by 4 and then adds 10. The result is 42. What is the number?
  36. 36.Solve: y/2 + 4 = 7. What is y?
  37. 37.Rohan’s mother is twice as old as Rohan. Their ages add up to 42 years. How old is Rohan?
  38. 38.Solve: 4y − 1 = 23. What is y?
  39. 39.Ananya thinks of a number, multiplies it by 5 and then adds 23. The result is 38. What is the number?
  40. 40.Solve: 5(m + 1) = 20. What is m?

Answer key

  1. 15
  2. 2
  3. 14
  4. 3
  5. 13
  6. 10
  7. 11
  8. 8
  9. 3
  10. 14
  11. 9
  12. 12
  13. 14
  14. 9
  15. 11
  16. 8
  17. 4
  18. 15
  19. 3
  20. 10
  21. 15
  22. 8
  23. 3
  24. 8
  25. 15
  26. 1
  27. 14
  28. 4
  29. 3
  30. 45
  31. 2
  32. 13
  33. 13
  34. 50
  35. 8
  36. 6
  37. 14
  38. 6
  39. 3
  40. 3

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