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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 930 · 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: 3(m + 1) = 36. What is m?
  2. 2.Dev thinks of a number, multiplies it by 6 and then adds 10. The result is 46. What is the number?
  3. 3.Isha’s mother is twice as old as Isha. Their ages add up to 12 years. How old is Isha?
  4. 4.Nisha’s mother is four times as old as Nisha. Their ages add up to 20 years. How old is Nisha?
  5. 5.Vivaan thinks of a number, multiplies it by 3 and then adds 23. The result is 47. What is the number?
  6. 6.Arjun’s mother is four times as old as Arjun. Their ages add up to 65 years. How old is Arjun?
  7. 7.Solve: y/5 + 20 = 28. What is y?
  8. 8.Solve: 3t − 13 = 14. What is t?
  9. 9.Solve: 7(p + 3) = 77. What is p?
  10. 10.Solve: 2(n + 1) = 14. What is n?
  11. 11.Rohan thinks of a number, multiplies it by 7 and then adds 16. The result is 86. What is the number?
  12. 12.Solve: 7n + 29 = 50. What is n?
  13. 13.Solve: 5x + 27 = 82. What is x?
  14. 14.Solve: t/9 + 20 = 33. What is t?
  15. 15.Solve: x/7 + 1 = 7. What is x?
  16. 16.Solve: 8t + 21 = 141. What is t?
  17. 17.Solve: 4x − 9 = 23. What is x?
  18. 18.Solve: 5(y + 8) = 115. What is y?
  19. 19.Solve: 5x − 10 = 35. What is x?
  20. 20.Solve: n/6 + 18 = 21. What is n?
  21. 21.Kavya thinks of a number, multiplies it by 6 and then adds 6. The result is 96. What is the number?
  22. 22.Solve: y/5 + 7 = 15. What is y?
  23. 23.Solve: 5n − 1 = 69. What is n?
  24. 24.Solve: y/4 + 9 = 22. What is y?
  25. 25.Arjun thinks of a number, multiplies it by 3 and then adds 19. The result is 46. What is the number?
  26. 26.Solve: 6y + 22 = 88. What is y?
  27. 27.Nisha thinks of a number, multiplies it by 3 and then adds 18. The result is 30. What is the number?
  28. 28.Solve: y/5 + 2 = 13. What is y?
  29. 29.Solve: 3t + 21 = 48. What is t?
  30. 30.Solve: n/9 + 17 = 30. What is n?
  31. 31.Solve: 2x − 18 = 4. What is x?
  32. 32.Diya is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  33. 33.Solve: 7(m + 8) = 133. What is m?
  34. 34.Zoya thinks of a number, multiplies it by 4 and then adds 13. The result is 37. What is the number?
  35. 35.Solve: 8(p + 8) = 80. What is p?
  36. 36.Solve: 5y − 7 = 13. What is y?
  37. 37.Solve: 7y − 18 = 66. What is y?
  38. 38.Aarav thinks of a number, multiplies it by 6 and then adds 1. The result is 61. What is the number?
  39. 39.Solve: 9(m + 2) = 126. What is m?
  40. 40.Solve: 4y − 14 = 2. What is y?

Answer key

  1. 11
  2. 6
  3. 4
  4. 4
  5. 8
  6. 13
  7. 40
  8. 9
  9. 8
  10. 6
  11. 10
  12. 3
  13. 11
  14. 117
  15. 42
  16. 15
  17. 8
  18. 15
  19. 9
  20. 18
  21. 15
  22. 40
  23. 14
  24. 52
  25. 9
  26. 11
  27. 4
  28. 55
  29. 9
  30. 117
  31. 11
  32. 4
  33. 11
  34. 6
  35. 2
  36. 4
  37. 12
  38. 10
  39. 12
  40. 4

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