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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 562 · 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: 9y + 13 = 148. What is y?
  2. 2.Solve: 3p + 28 = 58. What is p?
  3. 3.Solve: 7n − 59 = 39. What is n?
  4. 4.Solve: 9x + 15 = 132. What is x?
  5. 5.Diya is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  6. 6.Solve: 3t + 12 = 42. What is t?
  7. 7.Solve: 3t − 10 = 2. What is t?
  8. 8.Solve: y/2 + 8 = 16. What is y?
  9. 9.Solve: 9p − 119 = 7. What is p?
  10. 10.Solve: m/2 + 1 = 8. What is m?
  11. 11.Solve: 7t + 12 = 117. What is t?
  12. 12.Solve: 6(n + 6) = 96. What is n?
  13. 13.Diya thinks of a number, multiplies it by 7 and then adds 5. The result is 26. What is the number?
  14. 14.Solve: 2n − 5 = 25. What is n?
  15. 15.Solve: 8x + 12 = 20. What is x?
  16. 16.Solve: n/9 + 10 = 12. What is n?
  17. 17.Solve: m/7 + 18 = 21. What is m?
  18. 18.Solve: 3n − 21 = 6. What is n?
  19. 19.Solve: n/9 + 3 = 4. What is n?
  20. 20.Pooja thinks of a number, multiplies it by 3 and then adds 26. The result is 65. What is the number?
  21. 21.Solve: 8n − 12 = 36. What is n?
  22. 22.Solve: 3(p + 2) = 12. What is p?
  23. 23.Solve: 7n + 16 = 44. What is n?
  24. 24.Solve: 2m + 17 = 31. What is m?
  25. 25.Ananya thinks of a number, multiplies it by 3 and then adds 18. The result is 42. What is the number?
  26. 26.Zoya is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  27. 27.Solve: 6p − 2 = 28. What is p?
  28. 28.Solve: 2(n + 7) = 26. What is n?
  29. 29.Solve: 3x − 6 = 3. What is x?
  30. 30.Saanvi thinks of a number, multiplies it by 6 and then adds 18. The result is 102. What is the number?
  31. 31.Nisha thinks of a number, multiplies it by 8 and then adds 24. The result is 32. What is the number?
  32. 32.Solve: 6x − 45 = 3. What is x?
  33. 33.Solve: 2t − 6 = 4. What is t?
  34. 34.Solve: 8p + 6 = 62. What is p?
  35. 35.Solve: 2x − 3 = 1. What is x?
  36. 36.Lakshmi thinks of a number, multiplies it by 3 and then adds 3. The result is 9. What is the number?
  37. 37.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 50 years. How old is Vivaan?
  38. 38.Solve: 6x − 16 = 56. What is x?
  39. 39.Aarav thinks of a number, multiplies it by 8 and then adds 26. The result is 98. What is the number?
  40. 40.Solve: 3y + 17 = 47. What is y?

Answer key

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

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