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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 330 · 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.Lakshmi thinks of a number, multiplies it by 8 and then adds 27. The result is 131. What is the number?
  2. 2.Ananya thinks of a number, multiplies it by 4 and then adds 26. The result is 42. What is the number?
  3. 3.Solve: 4x + 23 = 27. What is x?
  4. 4.Riya is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  5. 5.Solve: 7t + 11 = 74. What is t?
  6. 6.Vivaan is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  7. 7.Isha thinks of a number, multiplies it by 8 and then adds 29. The result is 61. What is the number?
  8. 8.Solve: 5(n + 4) = 85. What is n?
  9. 9.Solve: 2(y + 5) = 12. What is y?
  10. 10.Solve: p/7 + 2 = 12. What is p?
  11. 11.Solve: 8(y + 8) = 104. What is y?
  12. 12.Diya thinks of a number, multiplies it by 9 and then adds 6. The result is 78. What is the number?
  13. 13.Solve: m/6 + 5 = 8. What is m?
  14. 14.Solve: 4x + 7 = 35. What is x?
  15. 15.Solve: p/5 + 7 = 11. What is p?
  16. 16.Sneha is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  17. 17.Solve: 9m + 21 = 129. What is m?
  18. 18.Solve: 3(m + 9) = 51. What is m?
  19. 19.Solve: 5y − 13 = 47. What is y?
  20. 20.Solve: 8n + 27 = 107. What is n?
  21. 21.Solve: n/5 + 4 = 12. What is n?
  22. 22.Solve: p/9 + 1 = 2. What is p?
  23. 23.Solve: 4p − 44 = 4. What is p?
  24. 24.Solve: 3n + 26 = 62. What is n?
  25. 25.Solve: 3x − 8 = 13. What is x?
  26. 26.Solve: t/9 + 7 = 9. What is t?
  27. 27.Solve: 2n + 1 = 27. What is n?
  28. 28.Pooja thinks of a number, multiplies it by 6 and then adds 29. The result is 41. What is the number?
  29. 29.Aarav thinks of a number, multiplies it by 3 and then adds 14. The result is 38. What is the number?
  30. 30.Solve: t/5 + 14 = 24. What is t?
  31. 31.Solve: 8(n + 9) = 120. What is n?
  32. 32.Dev thinks of a number, multiplies it by 5 and then adds 5. The result is 70. What is the number?
  33. 33.Solve: 6y − 17 = 19. What is y?
  34. 34.Solve: 4p − 13 = 43. What is p?
  35. 35.Solve: t/4 + 10 = 23. What is t?
  36. 36.Riya’s mother is three times as old as Riya. Their ages add up to 28 years. How old is Riya?
  37. 37.Saanvi thinks of a number, multiplies it by 7 and then adds 8. The result is 57. What is the number?
  38. 38.Manav’s mother is four times as old as Manav. Their ages add up to 75 years. How old is Manav?
  39. 39.Solve: 9(n + 1) = 99. What is n?
  40. 40.Solve: 5n − 31 = 9. What is n?

Answer key

  1. 13
  2. 4
  3. 1
  4. 8
  5. 9
  6. 8
  7. 4
  8. 13
  9. 1
  10. 70
  11. 5
  12. 8
  13. 18
  14. 7
  15. 20
  16. 7
  17. 12
  18. 8
  19. 12
  20. 10
  21. 40
  22. 9
  23. 12
  24. 12
  25. 7
  26. 18
  27. 13
  28. 2
  29. 8
  30. 50
  31. 6
  32. 13
  33. 6
  34. 14
  35. 52
  36. 7
  37. 7
  38. 15
  39. 10
  40. 8

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