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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 49 · 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: 9m + 20 = 128. What is m?
  2. 2.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 48 years. How old is Saanvi?
  3. 3.Solve: 5(x + 6) = 45. What is x?
  4. 4.Diya thinks of a number, multiplies it by 3 and then adds 7. The result is 37. What is the number?
  5. 5.Dev thinks of a number, multiplies it by 8 and then adds 5. The result is 77. What is the number?
  6. 6.Solve: t/6 + 3 = 5. What is t?
  7. 7.Manav thinks of a number, multiplies it by 3 and then adds 9. The result is 18. What is the number?
  8. 8.Solve: 7p + 10 = 45. What is p?
  9. 9.Solve: 2y + 10 = 14. What is y?
  10. 10.Karan is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  11. 11.Solve: 9(x + 7) = 135. What is x?
  12. 12.Solve: 2y − 11 = 5. What is y?
  13. 13.Solve: 8p + 7 = 47. What is p?
  14. 14.Solve: 2(x + 8) = 32. What is x?
  15. 15.Solve: 5x + 24 = 69. What is x?
  16. 16.Joseph thinks of a number, multiplies it by 8 and then adds 5. The result is 109. What is the number?
  17. 17.Solve: 7n + 1 = 8. What is n?
  18. 18.Solve: y/4 + 13 = 18. What is y?
  19. 19.Solve: 6m − 45 = 3. What is m?
  20. 20.Solve: y/8 + 20 = 32. What is y?
  21. 21.Solve: 3p + 15 = 60. What is p?
  22. 22.Solve: 8y + 14 = 30. What is y?
  23. 23.Solve: 6p − 7 = 47. What is p?
  24. 24.Solve: 6m + 10 = 28. What is m?
  25. 25.Solve: 7(m + 1) = 112. What is m?
  26. 26.Nisha’s mother is twice as old as Nisha. Their ages add up to 39 years. How old is Nisha?
  27. 27.Solve: y/5 + 15 = 19. What is y?
  28. 28.Dev is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  29. 29.Solve: 6n − 15 = 39. What is n?
  30. 30.Karan is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  31. 31.Solve: 8x − 21 = 11. What is x?
  32. 32.Solve: y/3 + 10 = 22. What is y?
  33. 33.Solve: y/6 + 19 = 28. What is y?
  34. 34.Solve: x/4 + 2 = 5. What is x?
  35. 35.Solve: 5(x + 4) = 40. What is x?
  36. 36.Solve: y/7 + 15 = 22. What is y?
  37. 37.Solve: 6(y + 2) = 102. What is y?
  38. 38.Solve: n/3 + 1 = 3. What is n?
  39. 39.Solve: 4t + 14 = 58. What is t?
  40. 40.Solve: 6n − 24 = 48. What is n?

Answer key

  1. 12
  2. 12
  3. 3
  4. 10
  5. 9
  6. 12
  7. 3
  8. 5
  9. 2
  10. 14
  11. 8
  12. 8
  13. 5
  14. 8
  15. 9
  16. 13
  17. 1
  18. 20
  19. 8
  20. 96
  21. 15
  22. 2
  23. 9
  24. 3
  25. 15
  26. 13
  27. 20
  28. 12
  29. 9
  30. 10
  31. 4
  32. 36
  33. 54
  34. 12
  35. 4
  36. 49
  37. 15
  38. 6
  39. 11
  40. 12

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