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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 216 · 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: 3p + 16 = 52. What is p?
  2. 2.Solve: 4m + 17 = 41. What is m?
  3. 3.Solve: 3p + 11 = 44. What is p?
  4. 4.Solve: 5t − 25 = 10. What is t?
  5. 5.Solve: 2m + 21 = 27. What is m?
  6. 6.Solve: m/4 + 5 = 7. What is m?
  7. 7.Solve: n/9 + 18 = 32. What is n?
  8. 8.Solve: 7(n + 7) = 133. What is n?
  9. 9.Priya’s mother is three times as old as Priya. Their ages add up to 56 years. How old is Priya?
  10. 10.Riya is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  11. 11.Solve: 2t + 12 = 38. What is t?
  12. 12.Solve: n/2 + 4 = 6. What is n?
  13. 13.Solve: 8n + 3 = 27. What is n?
  14. 14.Manav is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  15. 15.Solve: 9n + 9 = 54. What is n?
  16. 16.Ananya’s mother is three times as old as Ananya. Their ages add up to 52 years. How old is Ananya?
  17. 17.Solve: 8t + 10 = 74. What is t?
  18. 18.Solve: m/5 + 19 = 23. What is m?
  19. 19.Solve: x/9 + 15 = 20. What is x?
  20. 20.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 40 years. How old is Vivaan?
  21. 21.Solve: 3m + 18 = 48. What is m?
  22. 22.Kavya thinks of a number, multiplies it by 4 and then adds 8. The result is 24. What is the number?
  23. 23.Kabir is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  24. 24.Rahul thinks of a number, multiplies it by 4 and then adds 10. The result is 14. What is the number?
  25. 25.Aarav is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  26. 26.Solve: 8(x + 7) = 136. What is x?
  27. 27.Solve: m/4 + 5 = 8. What is m?
  28. 28.Solve: 9(t + 3) = 153. What is t?
  29. 29.Solve: 8m − 5 = 43. What is m?
  30. 30.Solve: 6p + 11 = 65. What is p?
  31. 31.Solve: 2t + 14 = 22. What is t?
  32. 32.Solve: 7x − 52 = 39. What is x?
  33. 33.Solve: 8(p + 9) = 168. What is p?
  34. 34.Kabir thinks of a number, multiplies it by 3 and then adds 2. The result is 41. What is the number?
  35. 35.Solve: 9n + 22 = 58. What is n?
  36. 36.Riya is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  37. 37.Solve: 2x − 4 = 2. What is x?
  38. 38.Solve: 7t − 13 = 1. What is t?
  39. 39.Solve: 9t + 28 = 127. What is t?
  40. 40.Solve: 5y + 14 = 59. What is y?

Answer key

  1. 12
  2. 6
  3. 11
  4. 7
  5. 3
  6. 8
  7. 126
  8. 12
  9. 14
  10. 11
  11. 13
  12. 4
  13. 3
  14. 12
  15. 5
  16. 13
  17. 8
  18. 20
  19. 45
  20. 8
  21. 10
  22. 4
  23. 5
  24. 1
  25. 14
  26. 10
  27. 12
  28. 14
  29. 6
  30. 9
  31. 4
  32. 13
  33. 12
  34. 13
  35. 4
  36. 7
  37. 3
  38. 2
  39. 11
  40. 9

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