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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 822 · 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: 3p + 15 = 30. What is p?
  2. 2.Nisha thinks of a number, multiplies it by 6 and then adds 18. The result is 66. What is the number?
  3. 3.Pooja thinks of a number, multiplies it by 5 and then adds 2. The result is 32. What is the number?
  4. 4.Solve: 2(m + 5) = 28. What is m?
  5. 5.Kavya is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  6. 6.Solve: 9(t + 5) = 81. What is t?
  7. 7.Solve: 9(x + 8) = 108. What is x?
  8. 8.Solve: 5y + 5 = 15. What is y?
  9. 9.Solve: 3t + 28 = 46. What is t?
  10. 10.Solve: 3x − 20 = 25. What is x?
  11. 11.Solve: 7x + 23 = 107. What is x?
  12. 12.Solve: 2p + 13 = 15. What is p?
  13. 13.Solve: 6m − 35 = 7. What is m?
  14. 14.Solve: 7y − 15 = 83. What is y?
  15. 15.Solve: 3p − 5 = 4. What is p?
  16. 16.Karan thinks of a number, multiplies it by 2 and then adds 27. The result is 57. What is the number?
  17. 17.Solve: 5t + 26 = 36. What is t?
  18. 18.Manav is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  19. 19.Solve: p/5 + 17 = 20. What is p?
  20. 20.Lakshmi thinks of a number, multiplies it by 9 and then adds 24. The result is 132. What is the number?
  21. 21.Solve: t/4 + 10 = 25. What is t?
  22. 22.Solve: t/3 + 18 = 20. What is t?
  23. 23.Pooja thinks of a number, multiplies it by 2 and then adds 25. The result is 41. What is the number?
  24. 24.Solve: 5(y + 4) = 65. What is y?
  25. 25.Saanvi thinks of a number, multiplies it by 9 and then adds 1. The result is 19. What is the number?
  26. 26.Solve: 9y − 28 = 44. What is y?
  27. 27.Solve: 4(y + 1) = 36. What is y?
  28. 28.Solve: 5x − 16 = 9. What is x?
  29. 29.Solve: 6(n + 6) = 72. What is n?
  30. 30.Solve: 9m + 29 = 65. What is m?
  31. 31.Tara’s mother is twice as old as Tara. Their ages add up to 42 years. How old is Tara?
  32. 32.Solve: 3t − 3 = 15. What is t?
  33. 33.Solve: p/3 + 4 = 14. What is p?
  34. 34.Solve: 8(n + 7) = 96. What is n?
  35. 35.Zoya thinks of a number, multiplies it by 3 and then adds 5. The result is 41. What is the number?
  36. 36.Solve: y/5 + 3 = 10. What is y?
  37. 37.Solve: 7(m + 6) = 133. What is m?
  38. 38.Ishaan thinks of a number, multiplies it by 6 and then adds 22. The result is 76. What is the number?
  39. 39.Solve: 2y − 20 = 2. What is y?
  40. 40.Solve: 7x + 7 = 56. What is x?

Answer key

  1. 5
  2. 8
  3. 6
  4. 9
  5. 15
  6. 4
  7. 4
  8. 2
  9. 6
  10. 15
  11. 12
  12. 1
  13. 7
  14. 14
  15. 3
  16. 15
  17. 2
  18. 15
  19. 15
  20. 12
  21. 60
  22. 6
  23. 8
  24. 9
  25. 2
  26. 8
  27. 8
  28. 5
  29. 6
  30. 4
  31. 14
  32. 6
  33. 30
  34. 5
  35. 12
  36. 35
  37. 13
  38. 9
  39. 11
  40. 7

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