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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 121 · 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: 3t − 10 = 2. What is t?
  2. 2.Solve: 2(m + 3) = 20. What is m?
  3. 3.Solve: x/8 + 5 = 10. What is x?
  4. 4.Solve: 2x + 14 = 26. What is x?
  5. 5.Solve: 9x + 27 = 144. What is x?
  6. 6.Riya thinks of a number, multiplies it by 9 and then adds 30. The result is 84. What is the number?
  7. 7.Solve: 2y − 12 = 2. What is y?
  8. 8.Solve: 2m + 2 = 4. What is m?
  9. 9.Meera thinks of a number, multiplies it by 3 and then adds 23. The result is 68. What is the number?
  10. 10.Solve: p/3 + 9 = 12. What is p?
  11. 11.Solve: 2p − 4 = 6. What is p?
  12. 12.Solve: m/3 + 20 = 25. What is m?
  13. 13.Tara thinks of a number, multiplies it by 9 and then adds 15. The result is 33. What is the number?
  14. 14.Solve: 7y + 5 = 89. What is y?
  15. 15.Solve: t/5 + 12 = 18. What is t?
  16. 16.Solve: 3(t + 9) = 72. What is t?
  17. 17.Solve: 8(x + 5) = 56. What is x?
  18. 18.Solve: 6x + 16 = 52. What is x?
  19. 19.Kavya’s mother is twice as old as Kavya. Their ages add up to 36 years. How old is Kavya?
  20. 20.Solve: t/4 + 7 = 13. What is t?
  21. 21.Solve: 5m − 33 = 22. What is m?
  22. 22.Solve: 2m + 5 = 11. What is m?
  23. 23.Solve: x/2 + 10 = 12. What is x?
  24. 24.Solve: 3(y + 2) = 51. What is y?
  25. 25.Solve: 6m − 7 = 23. What is m?
  26. 26.Aarav thinks of a number, multiplies it by 2 and then adds 13. The result is 35. What is the number?
  27. 27.Solve: 4n − 2 = 58. What is n?
  28. 28.Solve: x/7 + 13 = 25. What is x?
  29. 29.Riya’s mother is three times as old as Riya. Their ages add up to 16 years. How old is Riya?
  30. 30.Ishaan thinks of a number, multiplies it by 8 and then adds 5. The result is 93. What is the number?
  31. 31.Solve: 3y − 10 = 23. What is y?
  32. 32.Solve: 3y − 35 = 7. What is y?
  33. 33.Solve: 3t + 11 = 41. What is t?
  34. 34.Solve: 7y − 50 = 6. What is y?
  35. 35.Solve: 9p − 4 = 14. What is p?
  36. 36.Solve: 4(p + 4) = 64. What is p?
  37. 37.Solve: 4y + 5 = 21. What is y?
  38. 38.Solve: y/3 + 17 = 23. What is y?
  39. 39.Nisha’s mother is twice as old as Nisha. Their ages add up to 33 years. How old is Nisha?
  40. 40.Solve: 6x − 30 = 6. What is x?

Answer key

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

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