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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 253 · 40 sums
TalentJR

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: 9y + 27 = 144. What is y?
  2. 2.Solve: 5t − 13 = 27. What is t?
  3. 3.Solve: 3(m + 8) = 57. What is m?
  4. 4.Solve: 6(t + 2) = 96. What is t?
  5. 5.Solve: 4(n + 9) = 60. What is n?
  6. 6.Solve: 2(m + 2) = 22. What is m?
  7. 7.Solve: 7(p + 9) = 161. What is p?
  8. 8.Solve: n/4 + 11 = 15. What is n?
  9. 9.Solve: t/2 + 6 = 18. What is t?
  10. 10.Riya thinks of a number, multiplies it by 7 and then adds 18. The result is 74. What is the number?
  11. 11.Solve: t/6 + 19 = 30. What is t?
  12. 12.Solve: 6m + 29 = 53. What is m?
  13. 13.Meera thinks of a number, multiplies it by 2 and then adds 16. The result is 28. What is the number?
  14. 14.Solve: x/3 + 5 = 12. What is x?
  15. 15.Solve: 7y − 4 = 94. What is y?
  16. 16.Solve: x/5 + 8 = 12. What is x?
  17. 17.Rahul thinks of a number, multiplies it by 7 and then adds 10. The result is 38. What is the number?
  18. 18.Solve: 3x + 16 = 28. What is x?
  19. 19.Ananya thinks of a number, multiplies it by 9 and then adds 14. The result is 77. What is the number?
  20. 20.Solve: y/9 + 19 = 29. What is y?
  21. 21.Vivaan thinks of a number, multiplies it by 2 and then adds 17. The result is 21. What is the number?
  22. 22.Solve: p/4 + 5 = 16. What is p?
  23. 23.Solve: 7(t + 4) = 119. What is t?
  24. 24.Solve: 6y + 2 = 14. What is y?
  25. 25.Solve: 7x + 14 = 42. What is x?
  26. 26.Solve: 7t − 5 = 2. What is t?
  27. 27.Dev thinks of a number, multiplies it by 7 and then adds 7. The result is 35. What is the number?
  28. 28.Solve: 7y − 81 = 3. What is y?
  29. 29.Arjun is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  30. 30.Solve: 5t + 18 = 63. What is t?
  31. 31.Solve: 4y − 8 = 8. What is y?
  32. 32.Solve: p/9 + 3 = 5. What is p?
  33. 33.Solve: 4(t + 7) = 44. What is t?
  34. 34.Solve: 9n + 12 = 21. What is n?
  35. 35.Solve: 8(m + 7) = 72. What is m?
  36. 36.Solve: 3m − 7 = 2. What is m?
  37. 37.Solve: m/4 + 16 = 28. What is m?
  38. 38.Solve: 3m + 28 = 70. What is m?
  39. 39.Solve: 9y + 5 = 14. What is y?
  40. 40.Solve: x/6 + 1 = 3. What is x?

Answer key

  1. 13
  2. 8
  3. 11
  4. 14
  5. 6
  6. 9
  7. 14
  8. 16
  9. 24
  10. 8
  11. 66
  12. 4
  13. 6
  14. 21
  15. 14
  16. 20
  17. 4
  18. 4
  19. 7
  20. 90
  21. 2
  22. 44
  23. 13
  24. 2
  25. 4
  26. 1
  27. 4
  28. 12
  29. 9
  30. 9
  31. 4
  32. 18
  33. 4
  34. 1
  35. 2
  36. 3
  37. 48
  38. 14
  39. 1
  40. 12

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