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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 75 · 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: 8p + 2 = 42. What is p?
  2. 2.Solve: 8(n + 2) = 136. What is n?
  3. 3.Pooja thinks of a number, multiplies it by 9 and then adds 10. The result is 46. What is the number?
  4. 4.Rohan is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  5. 5.Solve: x/3 + 6 = 19. What is x?
  6. 6.Solve: 9m + 8 = 143. What is m?
  7. 7.Solve: m/7 + 12 = 24. What is m?
  8. 8.Solve: y/9 + 19 = 25. What is y?
  9. 9.Zoya is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  10. 10.Solve: m/3 + 12 = 21. What is m?
  11. 11.Farhan’s mother is twice as old as Farhan. Their ages add up to 15 years. How old is Farhan?
  12. 12.Solve: t/7 + 20 = 33. What is t?
  13. 13.Solve: 7t − 6 = 36. What is t?
  14. 14.Solve: n/3 + 6 = 19. What is n?
  15. 15.Solve: 2(m + 6) = 38. What is m?
  16. 16.Rahul is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  17. 17.Solve: 4(x + 9) = 44. What is x?
  18. 18.Solve: 7n + 1 = 99. What is n?
  19. 19.Solve: 5t − 26 = 34. What is t?
  20. 20.Solve: 8(m + 2) = 136. What is m?
  21. 21.Solve: 7(p + 6) = 133. What is p?
  22. 22.Solve: 4m + 1 = 57. What is m?
  23. 23.Solve: 7p + 28 = 49. What is p?
  24. 24.Priya is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  25. 25.Solve: m/8 + 10 = 20. What is m?
  26. 26.Solve: p/4 + 16 = 20. What is p?
  27. 27.Solve: 8t − 6 = 18. What is t?
  28. 28.Solve: p/4 + 12 = 19. What is p?
  29. 29.Solve: 7n − 16 = 47. What is n?
  30. 30.Solve: 7x − 83 = 8. What is x?
  31. 31.Solve: 4(m + 5) = 64. What is m?
  32. 32.Diya is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  33. 33.Solve: 3p + 11 = 53. What is p?
  34. 34.Solve: 8m − 26 = 22. What is m?
  35. 35.Solve: 3p − 17 = 4. What is p?
  36. 36.Gurpreet thinks of a number, multiplies it by 7 and then adds 3. The result is 45. What is the number?
  37. 37.Solve: 7t + 25 = 60. What is t?
  38. 38.Priya thinks of a number, multiplies it by 4 and then adds 29. The result is 37. What is the number?
  39. 39.Solve: 4t + 8 = 40. What is t?
  40. 40.Solve: 4t − 6 = 2. What is t?

Answer key

  1. 5
  2. 15
  3. 4
  4. 12
  5. 39
  6. 15
  7. 84
  8. 54
  9. 9
  10. 27
  11. 5
  12. 91
  13. 6
  14. 39
  15. 13
  16. 12
  17. 2
  18. 14
  19. 12
  20. 15
  21. 13
  22. 14
  23. 3
  24. 15
  25. 80
  26. 16
  27. 3
  28. 28
  29. 9
  30. 13
  31. 11
  32. 10
  33. 14
  34. 6
  35. 7
  36. 6
  37. 5
  38. 2
  39. 8
  40. 2

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