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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 927 · 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.Diya’s mother is twice as old as Diya. Their ages add up to 24 years. How old is Diya?
  2. 2.Solve: 3x + 5 = 38. What is x?
  3. 3.Solve: 3t + 29 = 32. What is t?
  4. 4.Pooja’s mother is four times as old as Pooja. Their ages add up to 20 years. How old is Pooja?
  5. 5.Saanvi thinks of a number, multiplies it by 6 and then adds 10. The result is 46. What is the number?
  6. 6.Solve: 2(n + 8) = 30. What is n?
  7. 7.Solve: 2x − 1 = 3. What is x?
  8. 8.Solve: 3t + 1 = 19. What is t?
  9. 9.Solve: 4(t + 9) = 68. What is t?
  10. 10.Gurpreet is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  11. 11.Solve: 3n − 16 = 11. What is n?
  12. 12.Solve: 7p − 6 = 36. What is p?
  13. 13.Solve: t/2 + 12 = 17. What is t?
  14. 14.Solve: 4t + 26 = 74. What is t?
  15. 15.Solve: 9n + 22 = 139. What is n?
  16. 16.Solve: 7x + 3 = 87. What is x?
  17. 17.Solve: m/8 + 5 = 6. What is m?
  18. 18.Solve: 8p + 28 = 92. What is p?
  19. 19.Solve: 9p − 38 = 25. What is p?
  20. 20.Diya thinks of a number, multiplies it by 4 and then adds 30. The result is 90. What is the number?
  21. 21.Ananya is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  22. 22.Kavya’s mother is three times as old as Kavya. Their ages add up to 52 years. How old is Kavya?
  23. 23.Solve: 6p − 11 = 43. What is p?
  24. 24.Solve: 3y − 41 = 4. What is y?
  25. 25.Solve: 5x + 7 = 72. What is x?
  26. 26.Solve: 5t + 27 = 67. What is t?
  27. 27.Kavya thinks of a number, multiplies it by 7 and then adds 27. The result is 48. What is the number?
  28. 28.Rahul’s mother is three times as old as Rahul. Their ages add up to 56 years. How old is Rahul?
  29. 29.Solve: m/7 + 2 = 16. What is m?
  30. 30.Solve: 7n + 11 = 67. What is n?
  31. 31.Solve: 8(n + 2) = 112. What is n?
  32. 32.Solve: 2t + 1 = 9. What is t?
  33. 33.Diya thinks of a number, multiplies it by 6 and then adds 19. The result is 103. What is the number?
  34. 34.Solve: x/5 + 7 = 9. What is x?
  35. 35.Solve: 3m + 3 = 21. What is m?
  36. 36.Solve: x/2 + 4 = 13. What is x?
  37. 37.Solve: p/4 + 16 = 20. What is p?
  38. 38.Solve: t/6 + 1 = 4. What is t?
  39. 39.Solve: m/9 + 1 = 9. What is m?
  40. 40.Rahul thinks of a number, multiplies it by 3 and then adds 13. The result is 22. What is the number?

Answer key

  1. 8
  2. 11
  3. 1
  4. 4
  5. 6
  6. 7
  7. 2
  8. 6
  9. 8
  10. 12
  11. 9
  12. 6
  13. 10
  14. 12
  15. 13
  16. 12
  17. 8
  18. 8
  19. 7
  20. 15
  21. 14
  22. 13
  23. 9
  24. 15
  25. 13
  26. 8
  27. 3
  28. 14
  29. 98
  30. 8
  31. 12
  32. 4
  33. 14
  34. 10
  35. 6
  36. 18
  37. 16
  38. 18
  39. 72
  40. 3

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