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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 993 · 40 sums
TalentJR

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: 7m + 3 = 52. What is m?
  2. 2.Solve: 4t + 25 = 81. What is t?
  3. 3.Diya is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  4. 4.Solve: n/7 + 2 = 6. What is n?
  5. 5.Solve: n/5 + 2 = 11. What is n?
  6. 6.Zoya is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  7. 7.Solve: 2t − 16 = 8. What is t?
  8. 8.Solve: 3(p + 6) = 36. What is p?
  9. 9.Solve: 7t − 3 = 88. What is t?
  10. 10.Solve: 3m + 1 = 10. What is m?
  11. 11.Kavya is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  12. 12.Ananya’s mother is four times as old as Ananya. Their ages add up to 25 years. How old is Ananya?
  13. 13.Solve: 8n + 15 = 31. What is n?
  14. 14.Arjun thinks of a number, multiplies it by 5 and then adds 15. The result is 45. What is the number?
  15. 15.Solve: 4(m + 9) = 60. What is m?
  16. 16.Solve: 7t + 27 = 48. What is t?
  17. 17.Manav’s mother is four times as old as Manav. Their ages add up to 20 years. How old is Manav?
  18. 18.Solve: 8x − 8 = 16. What is x?
  19. 19.Solve: m/7 + 1 = 11. What is m?
  20. 20.Solve: 4y + 11 = 67. What is y?
  21. 21.Solve: 8n + 16 = 120. What is n?
  22. 22.Nisha thinks of a number, multiplies it by 7 and then adds 1. The result is 85. What is the number?
  23. 23.Solve: 7p − 32 = 3. What is p?
  24. 24.Solve: 2(x + 1) = 32. What is x?
  25. 25.Solve: 9x + 26 = 125. What is x?
  26. 26.Solve: 3t − 12 = 18. What is t?
  27. 27.Solve: 5(t + 7) = 50. What is t?
  28. 28.Solve: 6p + 21 = 105. What is p?
  29. 29.Sneha is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  30. 30.Solve: 4p − 39 = 13. What is p?
  31. 31.Solve: 4n − 20 = 32. What is n?
  32. 32.Meera thinks of a number, multiplies it by 2 and then adds 9. The result is 37. What is the number?
  33. 33.Solve: 5(y + 4) = 65. What is y?
  34. 34.Solve: 6n − 24 = 54. What is n?
  35. 35.Solve: 8m + 8 = 80. What is m?
  36. 36.Manav’s mother is four times as old as Manav. Their ages add up to 35 years. How old is Manav?
  37. 37.Solve: 9p + 14 = 149. What is p?
  38. 38.Meera thinks of a number, multiplies it by 5 and then adds 30. The result is 75. What is the number?
  39. 39.Solve: 4n − 14 = 2. What is n?
  40. 40.Solve: 5n + 2 = 77. What is n?

Answer key

  1. 7
  2. 14
  3. 4
  4. 28
  5. 45
  6. 14
  7. 12
  8. 6
  9. 13
  10. 3
  11. 4
  12. 5
  13. 2
  14. 6
  15. 6
  16. 3
  17. 4
  18. 3
  19. 70
  20. 14
  21. 13
  22. 12
  23. 5
  24. 15
  25. 11
  26. 10
  27. 3
  28. 14
  29. 6
  30. 13
  31. 13
  32. 14
  33. 9
  34. 13
  35. 9
  36. 7
  37. 15
  38. 9
  39. 4
  40. 15

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