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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 947 · 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: m/5 + 12 = 18. What is m?
  2. 2.Gurpreet thinks of a number, multiplies it by 5 and then adds 10. The result is 25. What is the number?
  3. 3.Solve: y/7 + 12 = 15. What is y?
  4. 4.Solve: 4(y + 1) = 48. What is y?
  5. 5.Solve: 4n − 4 = 4. What is n?
  6. 6.Solve: y/2 + 16 = 31. What is y?
  7. 7.Manav is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  8. 8.Riya thinks of a number, multiplies it by 5 and then adds 26. The result is 36. What is the number?
  9. 9.Solve: 6y + 3 = 27. What is y?
  10. 10.Isha is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  11. 11.Isha thinks of a number, multiplies it by 8 and then adds 10. The result is 122. What is the number?
  12. 12.Ananya is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  13. 13.Solve: 9m − 121 = 5. What is m?
  14. 14.Solve: n/6 + 11 = 12. What is n?
  15. 15.Solve: 4n − 35 = 17. What is n?
  16. 16.Solve: 6(m + 9) = 84. What is m?
  17. 17.Solve: 2m + 3 = 19. What is m?
  18. 18.Isha thinks of a number, multiplies it by 4 and then adds 27. The result is 67. What is the number?
  19. 19.Sneha thinks of a number, multiplies it by 9 and then adds 24. The result is 114. What is the number?
  20. 20.Solve: 3t − 24 = 9. What is t?
  21. 21.Diya thinks of a number, multiplies it by 8 and then adds 29. The result is 133. What is the number?
  22. 22.Solve: 4t − 3 = 21. What is t?
  23. 23.Solve: 9x − 5 = 4. What is x?
  24. 24.Solve: 8y − 22 = 42. What is y?
  25. 25.Solve: 5y − 38 = 37. What is y?
  26. 26.Aditya thinks of a number, multiplies it by 9 and then adds 28. The result is 91. What is the number?
  27. 27.Solve: 6(p + 8) = 66. What is p?
  28. 28.Solve: 8y − 48 = 16. What is y?
  29. 29.Solve: m/2 + 6 = 12. What is m?
  30. 30.Solve: 3(t + 7) = 63. What is t?
  31. 31.Solve: 4y − 14 = 6. What is y?
  32. 32.Solve: 3(p + 7) = 36. What is p?
  33. 33.Solve: 5t + 5 = 75. What is t?
  34. 34.Solve: 7(x + 4) = 56. What is x?
  35. 35.Solve: 7y − 9 = 61. What is y?
  36. 36.Vivaan thinks of a number, multiplies it by 6 and then adds 1. The result is 61. What is the number?
  37. 37.Solve: 5p + 27 = 42. What is p?
  38. 38.Zoya thinks of a number, multiplies it by 6 and then adds 15. The result is 105. What is the number?
  39. 39.Solve: 6m − 15 = 3. What is m?
  40. 40.Solve: 6(p + 4) = 96. What is p?

Answer key

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

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