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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 429 · 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: 7x − 15 = 20. What is x?
  2. 2.Solve: 4t + 10 = 30. What is t?
  3. 3.Solve: 8t + 9 = 41. What is t?
  4. 4.Solve: 8x + 25 = 49. What is x?
  5. 5.Solve: x/4 + 6 = 8. What is x?
  6. 6.Solve: 7(y + 4) = 42. What is y?
  7. 7.Solve: 9n + 13 = 76. What is n?
  8. 8.Solve: 3t − 1 = 5. What is t?
  9. 9.Solve: 3(p + 1) = 6. What is p?
  10. 10.Dev is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  11. 11.Solve: 7m + 26 = 110. What is m?
  12. 12.Solve: 5n + 3 = 28. What is n?
  13. 13.Manav’s mother is twice as old as Manav. Their ages add up to 36 years. How old is Manav?
  14. 14.Rahul’s mother is four times as old as Rahul. Their ages add up to 60 years. How old is Rahul?
  15. 15.Solve: y/9 + 5 = 18. What is y?
  16. 16.Solve: 7x − 6 = 99. What is x?
  17. 17.Solve: 9m + 11 = 128. What is m?
  18. 18.Kavya is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  19. 19.Arjun thinks of a number, multiplies it by 6 and then adds 8. The result is 26. What is the number?
  20. 20.Nisha is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  21. 21.Solve: 5m + 8 = 53. What is m?
  22. 22.Karan thinks of a number, multiplies it by 7 and then adds 20. The result is 62. What is the number?
  23. 23.Solve: p/8 + 16 = 18. What is p?
  24. 24.Solve: 7(x + 5) = 84. What is x?
  25. 25.Nisha thinks of a number, multiplies it by 3 and then adds 8. The result is 29. What is the number?
  26. 26.Ananya thinks of a number, multiplies it by 8 and then adds 20. The result is 124. What is the number?
  27. 27.Solve: 6(y + 7) = 60. What is y?
  28. 28.Aarav is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  29. 29.Solve: 6m − 27 = 57. What is m?
  30. 30.Solve: 4t + 25 = 29. What is t?
  31. 31.Solve: 8(p + 9) = 176. What is p?
  32. 32.Solve: 9(t + 3) = 99. What is t?
  33. 33.Solve: 9x − 72 = 9. What is x?
  34. 34.Solve: 7x − 1 = 6. What is x?
  35. 35.Solve: 2n − 23 = 1. What is n?
  36. 36.Solve: y/5 + 1 = 14. What is y?
  37. 37.Solve: 4t − 1 = 3. What is t?
  38. 38.Rahul is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  39. 39.Solve: 7(p + 1) = 63. What is p?
  40. 40.Solve: p/6 + 7 = 13. What is p?

Answer key

  1. 5
  2. 5
  3. 4
  4. 3
  5. 8
  6. 2
  7. 7
  8. 2
  9. 1
  10. 10
  11. 12
  12. 5
  13. 12
  14. 12
  15. 117
  16. 15
  17. 13
  18. 11
  19. 3
  20. 9
  21. 9
  22. 6
  23. 16
  24. 7
  25. 7
  26. 13
  27. 3
  28. 5
  29. 14
  30. 1
  31. 13
  32. 8
  33. 9
  34. 1
  35. 12
  36. 65
  37. 1
  38. 5
  39. 8
  40. 36

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