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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 410 · 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 8 and then adds 2. The result is 82. What is the number?
  2. 2.Solve: 2(y + 1) = 12. What is y?
  3. 3.Solve: 5m − 25 = 50. What is m?
  4. 4.Solve: 6t − 5 = 7. What is t?
  5. 5.Solve: 8p + 14 = 38. What is p?
  6. 6.Farhan is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  7. 7.Aarav thinks of a number, multiplies it by 2 and then adds 29. The result is 47. What is the number?
  8. 8.Solve: p/5 + 17 = 31. What is p?
  9. 9.Solve: 5y + 3 = 73. What is y?
  10. 10.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 24 years. How old is Ishaan?
  11. 11.Solve: 2(y + 4) = 20. What is y?
  12. 12.Solve: 6t + 6 = 18. What is t?
  13. 13.Solve: 4p + 27 = 67. What is p?
  14. 14.Solve: 2(p + 3) = 30. What is p?
  15. 15.Solve: t/8 + 7 = 17. What is t?
  16. 16.Solve: 4t + 27 = 83. What is t?
  17. 17.Solve: 9y + 22 = 49. What is y?
  18. 18.Solve: p/4 + 19 = 21. What is p?
  19. 19.Nisha’s mother is twice as old as Nisha. Their ages add up to 15 years. How old is Nisha?
  20. 20.Solve: 5n + 26 = 86. What is n?
  21. 21.Solve: t/8 + 9 = 11. What is t?
  22. 22.Solve: m/4 + 7 = 17. What is m?
  23. 23.Solve: 7t + 24 = 45. What is t?
  24. 24.Solve: m/6 + 3 = 11. What is m?
  25. 25.Solve: 3m + 14 = 23. What is m?
  26. 26.Zoya is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  27. 27.Solve: 3y − 28 = 5. What is y?
  28. 28.Sneha thinks of a number, multiplies it by 8 and then adds 29. The result is 117. What is the number?
  29. 29.Ananya thinks of a number, multiplies it by 8 and then adds 3. The result is 83. What is the number?
  30. 30.Solve: 3(p + 1) = 48. What is p?
  31. 31.Nisha thinks of a number, multiplies it by 3 and then adds 10. The result is 25. What is the number?
  32. 32.Solve: y/5 + 19 = 27. What is y?
  33. 33.Kabir is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  34. 34.Solve: 2(p + 6) = 22. What is p?
  35. 35.Solve: 9(n + 4) = 171. What is n?
  36. 36.Solve: 7t + 6 = 111. What is t?
  37. 37.Joseph thinks of a number, multiplies it by 6 and then adds 14. The result is 38. What is the number?
  38. 38.Solve: x/4 + 17 = 31. What is x?
  39. 39.Solve: 9n + 22 = 49. What is n?
  40. 40.Arjun’s mother is twice as old as Arjun. Their ages add up to 33 years. How old is Arjun?

Answer key

  1. 10
  2. 5
  3. 15
  4. 2
  5. 3
  6. 10
  7. 9
  8. 70
  9. 14
  10. 8
  11. 6
  12. 2
  13. 10
  14. 12
  15. 80
  16. 14
  17. 3
  18. 8
  19. 5
  20. 12
  21. 16
  22. 40
  23. 3
  24. 48
  25. 3
  26. 12
  27. 11
  28. 11
  29. 10
  30. 15
  31. 5
  32. 40
  33. 14
  34. 5
  35. 15
  36. 15
  37. 4
  38. 56
  39. 3
  40. 11

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