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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 371 · 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.Tara’s mother is twice as old as Tara. Their ages add up to 24 years. How old is Tara?
  2. 2.Solve: 8(n + 4) = 112. What is n?
  3. 3.Solve: 7(p + 5) = 98. What is p?
  4. 4.Solve: 7y − 13 = 1. What is y?
  5. 5.Kavya is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  6. 6.Solve: 6(y + 5) = 72. What is y?
  7. 7.Zoya thinks of a number, multiplies it by 2 and then adds 7. The result is 15. What is the number?
  8. 8.Solve: 8x − 22 = 42. What is x?
  9. 9.Isha thinks of a number, multiplies it by 2 and then adds 21. The result is 25. What is the number?
  10. 10.Solve: 4y + 30 = 86. What is y?
  11. 11.Solve: n/9 + 5 = 14. What is n?
  12. 12.Solve: t/4 + 2 = 12. What is t?
  13. 13.Solve: 2(p + 1) = 24. What is p?
  14. 14.Solve: 8n − 14 = 18. What is n?
  15. 15.Karan thinks of a number, multiplies it by 2 and then adds 24. The result is 32. What is the number?
  16. 16.Joseph thinks of a number, multiplies it by 2 and then adds 8. The result is 32. What is the number?
  17. 17.Solve: x/2 + 16 = 18. What is x?
  18. 18.Solve: n/4 + 2 = 5. What is n?
  19. 19.Solve: 3(t + 1) = 33. What is t?
  20. 20.Solve: y/3 + 17 = 28. What is y?
  21. 21.Solve: 4(x + 8) = 56. What is x?
  22. 22.Solve: 9(m + 6) = 162. What is m?
  23. 23.Solve: 9x − 7 = 2. What is x?
  24. 24.Solve: 9m + 26 = 62. What is m?
  25. 25.Solve: 2(p + 6) = 36. What is p?
  26. 26.Solve: 9m + 4 = 67. What is m?
  27. 27.Solve: 9x − 45 = 36. What is x?
  28. 28.Solve: 8x + 9 = 81. What is x?
  29. 29.Solve: 8t − 16 = 24. What is t?
  30. 30.Rahul thinks of a number, multiplies it by 5 and then adds 3. The result is 33. What is the number?
  31. 31.Ananya thinks of a number, multiplies it by 8 and then adds 18. The result is 50. What is the number?
  32. 32.Solve: 3(n + 7) = 27. What is n?
  33. 33.Solve: 7t + 23 = 79. What is t?
  34. 34.Solve: x/2 + 5 = 18. What is x?
  35. 35.Solve: 9m − 51 = 48. What is m?
  36. 36.Solve: 6(t + 3) = 60. What is t?
  37. 37.Solve: n/3 + 6 = 9. What is n?
  38. 38.Solve: 3t + 16 = 52. What is t?
  39. 39.Solve: 2p − 8 = 4. What is p?
  40. 40.Zoya thinks of a number, multiplies it by 9 and then adds 6. The result is 33. What is the number?

Answer key

  1. 8
  2. 10
  3. 9
  4. 2
  5. 10
  6. 7
  7. 4
  8. 8
  9. 2
  10. 14
  11. 81
  12. 40
  13. 11
  14. 4
  15. 4
  16. 12
  17. 4
  18. 12
  19. 10
  20. 33
  21. 6
  22. 12
  23. 1
  24. 4
  25. 12
  26. 7
  27. 9
  28. 9
  29. 5
  30. 6
  31. 4
  32. 2
  33. 8
  34. 26
  35. 11
  36. 7
  37. 9
  38. 12
  39. 6
  40. 3

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