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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 51 · 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.Ananya is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  2. 2.Solve: y/8 + 19 = 26. What is y?
  3. 3.Solve: t/7 + 11 = 24. What is t?
  4. 4.Solve: 8(y + 1) = 24. What is y?
  5. 5.Priya thinks of a number, multiplies it by 8 and then adds 2. The result is 66. What is the number?
  6. 6.Solve: x/7 + 8 = 23. What is x?
  7. 7.Saanvi is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  8. 8.Meera thinks of a number, multiplies it by 4 and then adds 29. The result is 73. What is the number?
  9. 9.Solve: 3n − 11 = 1. What is n?
  10. 10.Riya thinks of a number, multiplies it by 9 and then adds 12. The result is 147. What is the number?
  11. 11.Solve: 8(p + 3) = 80. What is p?
  12. 12.Solve: 3(n + 8) = 39. What is n?
  13. 13.Aditya thinks of a number, multiplies it by 4 and then adds 5. The result is 53. What is the number?
  14. 14.Solve: 3(t + 1) = 27. What is t?
  15. 15.Solve: 7m + 25 = 32. What is m?
  16. 16.Meera thinks of a number, multiplies it by 4 and then adds 1. The result is 5. What is the number?
  17. 17.Solve: 7(p + 5) = 133. What is p?
  18. 18.Solve: 8n − 43 = 77. What is n?
  19. 19.Kabir is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  20. 20.Solve: 4n − 6 = 14. What is n?
  21. 21.Solve: 3x + 19 = 46. What is x?
  22. 22.Solve: 7x + 1 = 99. What is x?
  23. 23.Aditya thinks of a number, multiplies it by 8 and then adds 10. The result is 122. What is the number?
  24. 24.Solve: 9(y + 3) = 72. What is y?
  25. 25.Solve: 6(n + 2) = 66. What is n?
  26. 26.Solve: 3m + 27 = 30. What is m?
  27. 27.Solve: 8(p + 9) = 192. What is p?
  28. 28.Solve: 5(n + 4) = 90. What is n?
  29. 29.Solve: 8y + 29 = 93. What is y?
  30. 30.Solve: 8y − 2 = 6. What is y?
  31. 31.Farhan is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  32. 32.Solve: 4x − 51 = 5. What is x?
  33. 33.Solve: p/8 + 13 = 17. What is p?
  34. 34.Solve: 3(x + 4) = 54. What is x?
  35. 35.Solve: 9y + 1 = 91. What is y?
  36. 36.Solve: 8y + 3 = 59. What is y?
  37. 37.Solve: 8(m + 9) = 96. What is m?
  38. 38.Pooja is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  39. 39.Solve: 9m − 15 = 75. What is m?
  40. 40.Riya’s mother is twice as old as Riya. Their ages add up to 33 years. How old is Riya?

Answer key

  1. 6
  2. 56
  3. 91
  4. 2
  5. 8
  6. 105
  7. 5
  8. 11
  9. 4
  10. 15
  11. 7
  12. 5
  13. 12
  14. 8
  15. 1
  16. 1
  17. 14
  18. 15
  19. 13
  20. 5
  21. 9
  22. 14
  23. 14
  24. 5
  25. 9
  26. 1
  27. 15
  28. 14
  29. 8
  30. 1
  31. 5
  32. 14
  33. 32
  34. 14
  35. 10
  36. 7
  37. 3
  38. 6
  39. 10
  40. 11

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