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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 434 · 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: p/2 + 1 = 4. What is p?
  2. 2.Solve: 9m − 65 = 61. What is m?
  3. 3.Solve: 9t − 44 = 1. What is t?
  4. 4.Solve: m/3 + 4 = 5. What is m?
  5. 5.Solve: x/2 + 4 = 10. What is x?
  6. 6.Solve: 7t − 39 = 52. What is t?
  7. 7.Solve: 4t + 20 = 32. What is t?
  8. 8.Kabir thinks of a number, multiplies it by 2 and then adds 4. The result is 6. What is the number?
  9. 9.Solve: 2(p + 7) = 16. What is p?
  10. 10.Lakshmi thinks of a number, multiplies it by 3 and then adds 17. The result is 20. What is the number?
  11. 11.Solve: 8(x + 8) = 152. What is x?
  12. 12.Joseph thinks of a number, multiplies it by 9 and then adds 30. The result is 165. What is the number?
  13. 13.Solve: t/2 + 20 = 32. What is t?
  14. 14.Solve: y/5 + 14 = 16. What is y?
  15. 15.Solve: t/4 + 12 = 15. What is t?
  16. 16.Solve: 4p − 2 = 38. What is p?
  17. 17.Solve: 7(p + 8) = 70. What is p?
  18. 18.Solve: 2(n + 5) = 36. What is n?
  19. 19.Nisha is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  20. 20.Solve: 5(p + 1) = 45. What is p?
  21. 21.Solve: x/8 + 11 = 15. What is x?
  22. 22.Kavya thinks of a number, multiplies it by 4 and then adds 20. The result is 28. What is the number?
  23. 23.Solve: 9(x + 1) = 108. What is x?
  24. 24.Solve: n/4 + 18 = 19. What is n?
  25. 25.Isha is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  26. 26.Sneha’s mother is twice as old as Sneha. Their ages add up to 30 years. How old is Sneha?
  27. 27.Solve: 6m − 42 = 48. What is m?
  28. 28.Solve: 2y − 1 = 3. What is y?
  29. 29.Solve: 6(p + 2) = 90. What is p?
  30. 30.Solve: 2p + 25 = 31. What is p?
  31. 31.Solve: 9(n + 2) = 36. What is n?
  32. 32.Solve: 8x − 59 = 61. What is x?
  33. 33.Solve: 2y + 13 = 35. What is y?
  34. 34.Solve: 6t − 24 = 24. What is t?
  35. 35.Solve: p/2 + 15 = 17. What is p?
  36. 36.Solve: 9(m + 4) = 45. What is m?
  37. 37.Riya thinks of a number, multiplies it by 7 and then adds 18. The result is 74. What is the number?
  38. 38.Solve: 7y + 14 = 28. What is y?
  39. 39.Solve: x/4 + 8 = 12. What is x?
  40. 40.Diya thinks of a number, multiplies it by 7 and then adds 24. The result is 45. What is the number?

Answer key

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

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