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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 171 · 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.Priya is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  2. 2.Riya thinks of a number, multiplies it by 3 and then adds 20. The result is 38. What is the number?
  3. 3.Solve: p/3 + 11 = 18. What is p?
  4. 4.Ananya thinks of a number, multiplies it by 7 and then adds 23. The result is 121. What is the number?
  5. 5.Solve: 4p + 27 = 59. What is p?
  6. 6.Solve: 9(t + 2) = 99. What is t?
  7. 7.Zoya’s mother is three times as old as Zoya. Their ages add up to 32 years. How old is Zoya?
  8. 8.Aditya’s mother is twice as old as Aditya. Their ages add up to 39 years. How old is Aditya?
  9. 9.Solve: 7x + 12 = 82. What is x?
  10. 10.Solve: 7y + 7 = 98. What is y?
  11. 11.Solve: 8(x + 6) = 64. What is x?
  12. 12.Priya thinks of a number, multiplies it by 7 and then adds 5. The result is 68. What is the number?
  13. 13.Solve: t/2 + 19 = 30. What is t?
  14. 14.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 65 years. How old is Ishaan?
  15. 15.Solve: y/2 + 18 = 31. What is y?
  16. 16.Solve: 5(p + 6) = 90. What is p?
  17. 17.Solve: 3(m + 7) = 24. What is m?
  18. 18.Solve: 5(x + 2) = 60. What is x?
  19. 19.Solve: 2(x + 4) = 22. What is x?
  20. 20.Solve: 8n − 42 = 70. What is n?
  21. 21.Solve: 4(n + 9) = 92. What is n?
  22. 22.Solve: 3(p + 6) = 42. What is p?
  23. 23.Solve: 4(x + 4) = 36. What is x?
  24. 24.Solve: 6(t + 8) = 54. What is t?
  25. 25.Solve: 9y − 16 = 11. What is y?
  26. 26.Solve: 8(x + 4) = 64. What is x?
  27. 27.Solve: 9(p + 3) = 135. What is p?
  28. 28.Solve: 7y + 7 = 49. What is y?
  29. 29.Solve: 9n + 13 = 67. What is n?
  30. 30.Solve: 2m − 1 = 3. What is m?
  31. 31.Nisha thinks of a number, multiplies it by 3 and then adds 28. The result is 58. What is the number?
  32. 32.Solve: 9(n + 4) = 90. What is n?
  33. 33.Solve: 3p − 17 = 22. What is p?
  34. 34.Solve: 7(t + 5) = 133. What is t?
  35. 35.Vivaan thinks of a number, multiplies it by 8 and then adds 13. The result is 53. What is the number?
  36. 36.Solve: 4m − 59 = 1. What is m?
  37. 37.Solve: m/5 + 12 = 16. What is m?
  38. 38.Solve: 3t + 14 = 35. What is t?
  39. 39.Nisha thinks of a number, multiplies it by 2 and then adds 14. The result is 44. What is the number?
  40. 40.Solve: 3m + 9 = 36. What is m?

Answer key

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

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