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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 977 · 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: 7(p + 1) = 35. What is p?
  2. 2.Solve: 5t + 9 = 19. What is t?
  3. 3.Solve: 9x − 14 = 40. What is x?
  4. 4.Rahul thinks of a number, multiplies it by 9 and then adds 1. The result is 28. What is the number?
  5. 5.Solve: n/6 + 17 = 25. What is n?
  6. 6.Solve: 8x − 41 = 71. What is x?
  7. 7.Solve: t/6 + 3 = 17. What is t?
  8. 8.Solve: m/9 + 9 = 10. What is m?
  9. 9.Meera’s mother is three times as old as Meera. Their ages add up to 16 years. How old is Meera?
  10. 10.Solve: 8(x + 4) = 64. What is x?
  11. 11.Solve: 9y − 4 = 59. What is y?
  12. 12.Solve: 2t − 18 = 8. What is t?
  13. 13.Solve: 3(m + 7) = 63. What is m?
  14. 14.Ishaan thinks of a number, multiplies it by 4 and then adds 20. The result is 44. What is the number?
  15. 15.Solve: 4m − 2 = 2. What is m?
  16. 16.Solve: t/5 + 11 = 20. What is t?
  17. 17.Solve: 7x + 21 = 28. What is x?
  18. 18.Solve: 8(m + 1) = 48. What is m?
  19. 19.Priya is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  20. 20.Aarav thinks of a number, multiplies it by 8 and then adds 16. The result is 72. What is the number?
  21. 21.Solve: 5(y + 5) = 95. What is y?
  22. 22.Solve: 2p + 2 = 20. What is p?
  23. 23.Joseph’s mother is three times as old as Joseph. Their ages add up to 36 years. How old is Joseph?
  24. 24.Nisha’s mother is four times as old as Nisha. Their ages add up to 75 years. How old is Nisha?
  25. 25.Kabir is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  26. 26.Solve: 5(y + 1) = 15. What is y?
  27. 27.Solve: 5(m + 1) = 65. What is m?
  28. 28.Solve: 3(m + 3) = 24. What is m?
  29. 29.Solve: 3n − 4 = 8. What is n?
  30. 30.Solve: y/2 + 19 = 30. What is y?
  31. 31.Solve: 4(x + 2) = 64. What is x?
  32. 32.Solve: 2n + 7 = 13. What is n?
  33. 33.Solve: y/9 + 1 = 2. What is y?
  34. 34.Aarav’s mother is four times as old as Aarav. Their ages add up to 40 years. How old is Aarav?
  35. 35.Solve: 3p + 27 = 48. What is p?
  36. 36.Nisha thinks of a number, multiplies it by 6 and then adds 16. The result is 94. What is the number?
  37. 37.Solve: 4x + 16 = 20. What is x?
  38. 38.Solve: 8p − 21 = 91. What is p?
  39. 39.Isha is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  40. 40.Solve: 9t + 5 = 77. What is t?

Answer key

  1. 4
  2. 2
  3. 6
  4. 3
  5. 48
  6. 14
  7. 84
  8. 9
  9. 4
  10. 4
  11. 7
  12. 13
  13. 14
  14. 6
  15. 1
  16. 45
  17. 1
  18. 5
  19. 5
  20. 7
  21. 14
  22. 9
  23. 9
  24. 15
  25. 12
  26. 2
  27. 12
  28. 5
  29. 4
  30. 22
  31. 14
  32. 3
  33. 9
  34. 8
  35. 7
  36. 13
  37. 1
  38. 14
  39. 11
  40. 8

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