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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 495 · 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.Zoya thinks of a number, multiplies it by 3 and then adds 20. The result is 53. What is the number?
  2. 2.Solve: 9y − 7 = 56. What is y?
  3. 3.Kavya’s mother is three times as old as Kavya. Their ages add up to 24 years. How old is Kavya?
  4. 4.Gurpreet is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  5. 5.Solve: 2(m + 2) = 28. What is m?
  6. 6.Solve: 7n + 10 = 59. What is n?
  7. 7.Solve: 5x + 17 = 22. What is x?
  8. 8.Solve: p/2 + 11 = 23. What is p?
  9. 9.Solve: x/7 + 7 = 8. What is x?
  10. 10.Ishaan thinks of a number, multiplies it by 4 and then adds 1. The result is 37. What is the number?
  11. 11.Zoya’s mother is four times as old as Zoya. Their ages add up to 60 years. How old is Zoya?
  12. 12.Solve: 9n − 12 = 96. What is n?
  13. 13.Solve: 4(t + 5) = 44. What is t?
  14. 14.Solve: 6m + 27 = 93. What is m?
  15. 15.Solve: 8(x + 9) = 184. What is x?
  16. 16.Solve: y/8 + 12 = 19. What is y?
  17. 17.Solve: p/2 + 7 = 20. What is p?
  18. 18.Arjun’s mother is four times as old as Arjun. Their ages add up to 65 years. How old is Arjun?
  19. 19.Solve: 6p + 28 = 94. What is p?
  20. 20.Lakshmi thinks of a number, multiplies it by 8 and then adds 11. The result is 43. What is the number?
  21. 21.Karan thinks of a number, multiplies it by 2 and then adds 23. The result is 33. What is the number?
  22. 22.Solve: 2(n + 8) = 22. What is n?
  23. 23.Solve: 2(y + 6) = 28. What is y?
  24. 24.Solve: y/4 + 20 = 21. What is y?
  25. 25.Solve: 2p + 21 = 39. What is p?
  26. 26.Solve: 9x + 1 = 28. What is x?
  27. 27.Diya thinks of a number, multiplies it by 5 and then adds 25. The result is 45. What is the number?
  28. 28.Solve: t/7 + 10 = 13. What is t?
  29. 29.Solve: 9y + 9 = 117. What is y?
  30. 30.Solve: 7(m + 6) = 84. What is m?
  31. 31.Karan’s mother is twice as old as Karan. Their ages add up to 30 years. How old is Karan?
  32. 32.Solve: 5x + 29 = 39. What is x?
  33. 33.Solve: 2x − 1 = 1. What is x?
  34. 34.Kavya thinks of a number, multiplies it by 4 and then adds 14. The result is 66. What is the number?
  35. 35.Solve: n/4 + 1 = 10. What is n?
  36. 36.Solve: 6n + 21 = 57. What is n?
  37. 37.Solve: p/9 + 19 = 24. What is p?
  38. 38.Solve: 5m − 51 = 9. What is m?
  39. 39.Aarav is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  40. 40.Isha’s mother is twice as old as Isha. Their ages add up to 36 years. How old is Isha?

Answer key

  1. 11
  2. 7
  3. 6
  4. 14
  5. 12
  6. 7
  7. 1
  8. 24
  9. 7
  10. 9
  11. 12
  12. 12
  13. 6
  14. 11
  15. 14
  16. 56
  17. 26
  18. 13
  19. 11
  20. 4
  21. 5
  22. 3
  23. 8
  24. 4
  25. 9
  26. 3
  27. 4
  28. 21
  29. 12
  30. 6
  31. 10
  32. 2
  33. 1
  34. 13
  35. 36
  36. 6
  37. 45
  38. 12
  39. 5
  40. 12

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