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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 112 · 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: t/7 + 1 = 2. What is t?
  2. 2.Solve: 8(m + 9) = 144. What is m?
  3. 3.Solve: 4(x + 2) = 28. What is x?
  4. 4.Solve: 3n − 6 = 3. What is n?
  5. 5.Solve: t/3 + 6 = 15. What is t?
  6. 6.Solve: 8x − 32 = 56. What is x?
  7. 7.Riya thinks of a number, multiplies it by 7 and then adds 26. The result is 40. What is the number?
  8. 8.Solve: 3(p + 3) = 48. What is p?
  9. 9.Solve: 5m − 55 = 15. What is m?
  10. 10.Solve: 6p − 28 = 14. What is p?
  11. 11.Solve: m/5 + 2 = 3. What is m?
  12. 12.Farhan’s mother is three times as old as Farhan. Their ages add up to 40 years. How old is Farhan?
  13. 13.Solve: 8y − 52 = 52. What is y?
  14. 14.Solve: 2m + 12 = 30. What is m?
  15. 15.Solve: 8t + 30 = 70. What is t?
  16. 16.Solve: n/2 + 8 = 12. What is n?
  17. 17.Solve: 8t − 28 = 20. What is t?
  18. 18.Solve: 6(n + 7) = 120. What is n?
  19. 19.Aarav thinks of a number, multiplies it by 6 and then adds 1. The result is 79. What is the number?
  20. 20.Manav is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  21. 21.Aditya’s mother is three times as old as Aditya. Their ages add up to 20 years. How old is Aditya?
  22. 22.Ananya thinks of a number, multiplies it by 7 and then adds 7. The result is 91. What is the number?
  23. 23.Solve: 4(m + 4) = 40. What is m?
  24. 24.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 48 years. How old is Gurpreet?
  25. 25.Solve: 2(x + 2) = 16. What is x?
  26. 26.Solve: 7x − 28 = 63. What is x?
  27. 27.Solve: 5y − 11 = 59. What is y?
  28. 28.Solve: 8t + 19 = 99. What is t?
  29. 29.Solve: 3(t + 9) = 72. What is t?
  30. 30.Solve: x/4 + 13 = 15. What is x?
  31. 31.Aditya is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  32. 32.Solve: 3n − 10 = 32. What is n?
  33. 33.Solve: 9(n + 2) = 54. What is n?
  34. 34.Rahul thinks of a number, multiplies it by 6 and then adds 10. The result is 16. What is the number?
  35. 35.Tara thinks of a number, multiplies it by 5 and then adds 16. The result is 21. What is the number?
  36. 36.Vivaan is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  37. 37.Aarav thinks of a number, multiplies it by 8 and then adds 11. The result is 91. What is the number?
  38. 38.Solve: 2(x + 4) = 36. What is x?
  39. 39.Solve: 6p − 1 = 29. What is p?
  40. 40.Aarav thinks of a number, multiplies it by 8 and then adds 27. The result is 91. What is the number?

Answer key

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

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