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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 47 · 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.Joseph thinks of a number, multiplies it by 5 and then adds 12. The result is 32. What is the number?
  2. 2.Solve: 3y + 25 = 49. What is y?
  3. 3.Kabir’s mother is twice as old as Kabir. Their ages add up to 30 years. How old is Kabir?
  4. 4.Solve: 7m + 17 = 73. What is m?
  5. 5.Diya thinks of a number, multiplies it by 3 and then adds 4. The result is 43. What is the number?
  6. 6.Solve: 7(n + 1) = 28. What is n?
  7. 7.Solve: 5t + 28 = 63. What is t?
  8. 8.Solve: 9(y + 1) = 90. What is y?
  9. 9.Solve: 3n + 7 = 31. What is n?
  10. 10.Solve: 2(t + 2) = 10. What is t?
  11. 11.Solve: 9y + 16 = 142. What is y?
  12. 12.Solve: x/8 + 11 = 25. What is x?
  13. 13.Solve: 3x + 23 = 59. What is x?
  14. 14.Nisha’s mother is twice as old as Nisha. Their ages add up to 24 years. How old is Nisha?
  15. 15.Solve: 6m + 14 = 92. What is m?
  16. 16.Solve: 3(y + 1) = 39. What is y?
  17. 17.Solve: 3p − 8 = 16. What is p?
  18. 18.Solve: 6(n + 1) = 30. What is n?
  19. 19.Solve: 5(p + 5) = 60. What is p?
  20. 20.Solve: 4(n + 8) = 36. What is n?
  21. 21.Zoya thinks of a number, multiplies it by 8 and then adds 24. The result is 128. What is the number?
  22. 22.Diya’s mother is four times as old as Diya. Their ages add up to 65 years. How old is Diya?
  23. 23.Solve: 7(m + 4) = 119. What is m?
  24. 24.Solve: 3m − 5 = 1. What is m?
  25. 25.Solve: 4x − 6 = 2. What is x?
  26. 26.Solve: x/3 + 7 = 14. What is x?
  27. 27.Solve: 8(m + 6) = 56. What is m?
  28. 28.Solve: 7n − 3 = 4. What is n?
  29. 29.Manav is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  30. 30.Solve: 6n + 24 = 36. What is n?
  31. 31.Solve: 4y + 5 = 53. What is y?
  32. 32.Arjun’s mother is four times as old as Arjun. Their ages add up to 70 years. How old is Arjun?
  33. 33.Solve: 3(y + 1) = 18. What is y?
  34. 34.Solve: 9t − 13 = 5. What is t?
  35. 35.Nisha is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  36. 36.Solve: 8x − 4 = 4. What is x?
  37. 37.Solve: 8p − 8 = 64. What is p?
  38. 38.Solve: 5x − 21 = 19. What is x?
  39. 39.Solve: 2(x + 6) = 22. What is x?
  40. 40.Kavya’s mother is twice as old as Kavya. Their ages add up to 12 years. How old is Kavya?

Answer key

  1. 4
  2. 8
  3. 10
  4. 8
  5. 13
  6. 3
  7. 7
  8. 9
  9. 8
  10. 3
  11. 14
  12. 112
  13. 12
  14. 8
  15. 13
  16. 12
  17. 8
  18. 4
  19. 7
  20. 1
  21. 13
  22. 13
  23. 13
  24. 2
  25. 2
  26. 21
  27. 1
  28. 1
  29. 14
  30. 2
  31. 12
  32. 14
  33. 5
  34. 2
  35. 6
  36. 1
  37. 9
  38. 8
  39. 5
  40. 4

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