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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 142 · 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: p/2 + 16 = 18. What is p?
  2. 2.Solve: 6(x + 8) = 60. What is x?
  3. 3.Solve: t/9 + 4 = 8. What is t?
  4. 4.Solve: x/9 + 14 = 26. What is x?
  5. 5.Solve: 3t + 25 = 64. What is t?
  6. 6.Solve: x/9 + 6 = 9. What is x?
  7. 7.Solve: 4p + 29 = 69. What is p?
  8. 8.Karan’s mother is three times as old as Karan. Their ages add up to 24 years. How old is Karan?
  9. 9.Solve: t/6 + 20 = 27. What is t?
  10. 10.Ananya’s mother is twice as old as Ananya. Their ages add up to 30 years. How old is Ananya?
  11. 11.Dev thinks of a number, multiplies it by 7 and then adds 2. The result is 9. What is the number?
  12. 12.Solve: 8m + 16 = 96. What is m?
  13. 13.Solve: 4t − 19 = 37. What is t?
  14. 14.Solve: 9n + 2 = 74. What is n?
  15. 15.Vivaan thinks of a number, multiplies it by 6 and then adds 3. The result is 21. What is the number?
  16. 16.Solve: 8y + 10 = 50. What is y?
  17. 17.Solve: 4m − 1 = 15. What is m?
  18. 18.Aarav thinks of a number, multiplies it by 4 and then adds 25. The result is 65. What is the number?
  19. 19.Solve: 7y + 4 = 102. What is y?
  20. 20.Solve: x/9 + 20 = 25. What is x?
  21. 21.Solve: n/6 + 7 = 9. What is n?
  22. 22.Solve: p/5 + 16 = 17. What is p?
  23. 23.Solve: 7(t + 7) = 119. What is t?
  24. 24.Solve: 2(m + 8) = 36. What is m?
  25. 25.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 45 years. How old is Ishaan?
  26. 26.Solve: y/8 + 4 = 5. What is y?
  27. 27.Solve: 2(y + 8) = 36. What is y?
  28. 28.Solve: 6(m + 4) = 48. What is m?
  29. 29.Solve: 6(m + 3) = 108. What is m?
  30. 30.Arjun is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  31. 31.Aditya thinks of a number, multiplies it by 4 and then adds 28. The result is 32. What is the number?
  32. 32.Nisha is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  33. 33.Solve: 5m − 3 = 52. What is m?
  34. 34.Solve: 8x + 17 = 81. What is x?
  35. 35.Solve: 3x − 7 = 8. What is x?
  36. 36.Solve: 2t + 27 = 51. What is t?
  37. 37.Solve: 6t + 26 = 44. What is t?
  38. 38.Solve: 7x + 15 = 78. What is x?
  39. 39.Solve: t/6 + 19 = 32. What is t?
  40. 40.Solve: 5n + 22 = 77. What is n?

Answer key

  1. 4
  2. 2
  3. 36
  4. 108
  5. 13
  6. 27
  7. 10
  8. 6
  9. 42
  10. 10
  11. 1
  12. 10
  13. 14
  14. 8
  15. 3
  16. 5
  17. 4
  18. 10
  19. 14
  20. 45
  21. 12
  22. 5
  23. 10
  24. 10
  25. 15
  26. 8
  27. 10
  28. 4
  29. 15
  30. 4
  31. 1
  32. 10
  33. 11
  34. 8
  35. 5
  36. 12
  37. 3
  38. 9
  39. 78
  40. 11

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