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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 981 · 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: 3(m + 8) = 63. What is m?
  2. 2.Solve: x/2 + 8 = 13. What is x?
  3. 3.Solve: 2(y + 1) = 18. What is y?
  4. 4.Solve: 5(x + 6) = 65. What is x?
  5. 5.Solve: 5y − 17 = 53. What is y?
  6. 6.Solve: 8(y + 6) = 88. What is y?
  7. 7.Rohan is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  8. 8.Solve: n/4 + 1 = 12. What is n?
  9. 9.Tara is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  10. 10.Solve: 5(m + 7) = 70. What is m?
  11. 11.Solve: 5p − 17 = 13. What is p?
  12. 12.Solve: 6p + 29 = 95. What is p?
  13. 13.Solve: 2(m + 9) = 48. What is m?
  14. 14.Solve: 8x − 16 = 64. What is x?
  15. 15.Solve: 4m + 17 = 21. What is m?
  16. 16.Solve: p/3 + 11 = 24. What is p?
  17. 17.Solve: 4y − 9 = 51. What is y?
  18. 18.Solve: 5(t + 2) = 85. What is t?
  19. 19.Solve: 2p + 4 = 22. What is p?
  20. 20.Solve: 8p + 25 = 49. What is p?
  21. 21.Meera thinks of a number, multiplies it by 3 and then adds 21. The result is 48. What is the number?
  22. 22.Saanvi is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  23. 23.Solve: 9m + 13 = 139. What is m?
  24. 24.Solve: 7n − 5 = 9. What is n?
  25. 25.Rahul thinks of a number, multiplies it by 6 and then adds 1. The result is 19. What is the number?
  26. 26.Vivaan thinks of a number, multiplies it by 3 and then adds 3. The result is 33. What is the number?
  27. 27.Pooja is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  28. 28.Manav thinks of a number, multiplies it by 2 and then adds 10. The result is 34. What is the number?
  29. 29.Solve: 3y + 29 = 56. What is y?
  30. 30.Nisha thinks of a number, multiplies it by 5 and then adds 13. The result is 23. What is the number?
  31. 31.Solve: 6m + 4 = 94. What is m?
  32. 32.Solve: 7(m + 9) = 77. What is m?
  33. 33.Solve: 2(m + 9) = 42. What is m?
  34. 34.Farhan thinks of a number, multiplies it by 6 and then adds 4. The result is 64. What is the number?
  35. 35.Solve: 7x + 24 = 87. What is x?
  36. 36.Solve: 8m + 8 = 128. What is m?
  37. 37.Solve: 4t − 22 = 10. What is t?
  38. 38.Joseph thinks of a number, multiplies it by 7 and then adds 6. The result is 104. What is the number?
  39. 39.Solve: 2(n + 1) = 20. What is n?
  40. 40.Solve: 9t − 29 = 97. What is t?

Answer key

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

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