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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 157 · 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: 8(t + 3) = 128. What is t?
  2. 2.Solve: 7y + 4 = 46. What is y?
  3. 3.Solve: 3(y + 6) = 63. What is y?
  4. 4.Solve: 9p − 113 = 13. What is p?
  5. 5.Riya is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  6. 6.Solve: 7n − 46 = 10. What is n?
  7. 7.Solve: 7m − 29 = 6. What is m?
  8. 8.Solve: p/8 + 11 = 22. What is p?
  9. 9.Solve: 6m + 24 = 102. What is m?
  10. 10.Solve: 9n − 107 = 10. What is n?
  11. 11.Kabir thinks of a number, multiplies it by 4 and then adds 26. The result is 42. What is the number?
  12. 12.Solve: 3n − 9 = 12. What is n?
  13. 13.Kavya thinks of a number, multiplies it by 4 and then adds 16. The result is 52. What is the number?
  14. 14.Solve: t/8 + 14 = 29. What is t?
  15. 15.Solve: 8(x + 1) = 80. What is x?
  16. 16.Solve: 7(m + 7) = 119. What is m?
  17. 17.Karan’s mother is twice as old as Karan. Their ages add up to 39 years. How old is Karan?
  18. 18.Solve: 3(m + 5) = 18. What is m?
  19. 19.Solve: 9p + 24 = 141. What is p?
  20. 20.Solve: x/2 + 17 = 21. What is x?
  21. 21.Solve: 9(t + 8) = 99. What is t?
  22. 22.Aarav thinks of a number, multiplies it by 9 and then adds 2. The result is 65. What is the number?
  23. 23.Solve: 8(m + 6) = 120. What is m?
  24. 24.Rohan thinks of a number, multiplies it by 7 and then adds 3. The result is 80. What is the number?
  25. 25.Solve: t/5 + 2 = 6. What is t?
  26. 26.Lakshmi thinks of a number, multiplies it by 9 and then adds 15. The result is 78. What is the number?
  27. 27.Sneha thinks of a number, multiplies it by 3 and then adds 7. The result is 13. What is the number?
  28. 28.Solve: 2m + 4 = 10. What is m?
  29. 29.Solve: 2y − 2 = 22. What is y?
  30. 30.Kavya’s mother is four times as old as Kavya. Their ages add up to 30 years. How old is Kavya?
  31. 31.Gurpreet is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  32. 32.Solve: 5n − 35 = 5. What is n?
  33. 33.Farhan is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  34. 34.Solve: 8t + 29 = 37. What is t?
  35. 35.Solve: 4(p + 9) = 72. What is p?
  36. 36.Solve: 6p − 31 = 5. What is p?
  37. 37.Farhan thinks of a number, multiplies it by 3 and then adds 29. The result is 68. What is the number?
  38. 38.Pooja thinks of a number, multiplies it by 4 and then adds 17. The result is 57. What is the number?
  39. 39.Meera thinks of a number, multiplies it by 8 and then adds 11. The result is 131. What is the number?
  40. 40.Solve: n/5 + 7 = 10. What is n?

Answer key

  1. 13
  2. 6
  3. 15
  4. 14
  5. 15
  6. 8
  7. 5
  8. 88
  9. 13
  10. 13
  11. 4
  12. 7
  13. 9
  14. 120
  15. 9
  16. 10
  17. 13
  18. 1
  19. 13
  20. 8
  21. 3
  22. 7
  23. 9
  24. 11
  25. 20
  26. 7
  27. 2
  28. 3
  29. 12
  30. 6
  31. 8
  32. 8
  33. 13
  34. 1
  35. 9
  36. 6
  37. 13
  38. 10
  39. 15
  40. 15

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