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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 869 · 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: 9x + 6 = 69. What is x?
  2. 2.Solve: 5n − 56 = 19. What is n?
  3. 3.Solve: 6y + 23 = 107. What is y?
  4. 4.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 36 years. How old is Saanvi?
  5. 5.Solve: 4t − 37 = 3. What is t?
  6. 6.Solve: n/6 + 11 = 24. What is n?
  7. 7.Solve: t/9 + 17 = 24. What is t?
  8. 8.Solve: 7n − 6 = 92. What is n?
  9. 9.Solve: 4n − 3 = 17. What is n?
  10. 10.Solve: 8x + 28 = 60. What is x?
  11. 11.Solve: x/4 + 7 = 16. What is x?
  12. 12.Solve: 5(m + 1) = 60. What is m?
  13. 13.Solve: 3(p + 9) = 33. What is p?
  14. 14.Solve: 8(p + 2) = 136. What is p?
  15. 15.Solve: m/7 + 3 = 13. What is m?
  16. 16.Solve: 4t − 1 = 3. What is t?
  17. 17.Solve: x/2 + 1 = 15. What is x?
  18. 18.Solve: 3p + 11 = 38. What is p?
  19. 19.Vivaan thinks of a number, multiplies it by 9 and then adds 17. The result is 116. What is the number?
  20. 20.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 30 years. How old is Saanvi?
  21. 21.Solve: 8(m + 2) = 48. What is m?
  22. 22.Rahul’s mother is twice as old as Rahul. Their ages add up to 39 years. How old is Rahul?
  23. 23.Solve: 9(t + 2) = 135. What is t?
  24. 24.Solve: 8y + 10 = 82. What is y?
  25. 25.Solve: 6n + 29 = 65. What is n?
  26. 26.Solve: 2n + 29 = 39. What is n?
  27. 27.Solve: 6t + 22 = 52. What is t?
  28. 28.Solve: m/3 + 18 = 30. What is m?
  29. 29.Kabir thinks of a number, multiplies it by 4 and then adds 29. The result is 81. What is the number?
  30. 30.Dev thinks of a number, multiplies it by 5 and then adds 5. The result is 30. What is the number?
  31. 31.Joseph’s mother is three times as old as Joseph. Their ages add up to 52 years. How old is Joseph?
  32. 32.Solve: 2p + 19 = 29. What is p?
  33. 33.Solve: 2y + 7 = 11. What is y?
  34. 34.Solve: 8(n + 7) = 64. What is n?
  35. 35.Solve: y/5 + 18 = 26. What is y?
  36. 36.Solve: 7x − 9 = 12. What is x?
  37. 37.Solve: 8y − 75 = 5. What is y?
  38. 38.Arjun thinks of a number, multiplies it by 3 and then adds 12. The result is 15. What is the number?
  39. 39.Nisha’s mother is twice as old as Nisha. Their ages add up to 42 years. How old is Nisha?
  40. 40.Solve: 3m − 7 = 5. What is m?

Answer key

  1. 7
  2. 15
  3. 14
  4. 9
  5. 10
  6. 78
  7. 63
  8. 14
  9. 5
  10. 4
  11. 36
  12. 11
  13. 2
  14. 15
  15. 70
  16. 1
  17. 28
  18. 9
  19. 11
  20. 10
  21. 4
  22. 13
  23. 13
  24. 9
  25. 6
  26. 5
  27. 5
  28. 36
  29. 13
  30. 5
  31. 13
  32. 5
  33. 2
  34. 1
  35. 40
  36. 3
  37. 10
  38. 1
  39. 14
  40. 4

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