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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 837 · 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 + 1 = 34. What is p?
  2. 2.Zoya thinks of a number, multiplies it by 3 and then adds 28. The result is 43. What is the number?
  3. 3.Solve: x/4 + 7 = 17. What is x?
  4. 4.Ananya is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  5. 5.Solve: x/6 + 18 = 30. What is x?
  6. 6.Kabir is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  7. 7.Kabir thinks of a number, multiplies it by 4 and then adds 18. The result is 22. What is the number?
  8. 8.Meera thinks of a number, multiplies it by 8 and then adds 5. The result is 69. What is the number?
  9. 9.Arjun thinks of a number, multiplies it by 2 and then adds 13. The result is 23. What is the number?
  10. 10.Farhan thinks of a number, multiplies it by 2 and then adds 2. The result is 18. What is the number?
  11. 11.Solve: 9(y + 4) = 135. What is y?
  12. 12.Solve: 3n + 16 = 46. What is n?
  13. 13.Solve: 6t + 25 = 91. What is t?
  14. 14.Nisha thinks of a number, multiplies it by 2 and then adds 18. The result is 32. What is the number?
  15. 15.Solve: p/3 + 1 = 11. What is p?
  16. 16.Riya thinks of a number, multiplies it by 8 and then adds 19. The result is 43. What is the number?
  17. 17.Solve: 5m + 6 = 41. What is m?
  18. 18.Solve: 2p − 13 = 5. What is p?
  19. 19.Sneha is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  20. 20.Solve: 8t + 23 = 103. What is t?
  21. 21.Solve: 2x − 3 = 13. What is x?
  22. 22.Solve: 2x − 4 = 16. What is x?
  23. 23.Solve: 4(m + 4) = 60. What is m?
  24. 24.Solve: 4(t + 8) = 48. What is t?
  25. 25.Solve: x/6 + 8 = 21. What is x?
  26. 26.Solve: p/6 + 7 = 12. What is p?
  27. 27.Solve: 6p − 57 = 3. What is p?
  28. 28.Solve: 2t + 1 = 11. What is t?
  29. 29.Solve: t/6 + 4 = 16. What is t?
  30. 30.Solve: 4n − 15 = 1. What is n?
  31. 31.Solve: p/3 + 8 = 9. What is p?
  32. 32.Solve: 8n − 17 = 103. What is n?
  33. 33.Solve: n/8 + 4 = 6. What is n?
  34. 34.Solve: 4y − 1 = 3. What is y?
  35. 35.Ananya thinks of a number, multiplies it by 3 and then adds 2. The result is 44. What is the number?
  36. 36.Nisha thinks of a number, multiplies it by 3 and then adds 8. The result is 11. What is the number?
  37. 37.Farhan thinks of a number, multiplies it by 4 and then adds 8. The result is 48. What is the number?
  38. 38.Joseph’s mother is four times as old as Joseph. Their ages add up to 30 years. How old is Joseph?
  39. 39.Solve: 7y − 30 = 40. What is y?
  40. 40.Solve: 7m − 22 = 6. What is m?

Answer key

  1. 11
  2. 5
  3. 40
  4. 6
  5. 72
  6. 11
  7. 1
  8. 8
  9. 5
  10. 8
  11. 11
  12. 10
  13. 11
  14. 7
  15. 30
  16. 3
  17. 7
  18. 9
  19. 11
  20. 10
  21. 8
  22. 10
  23. 11
  24. 4
  25. 78
  26. 30
  27. 10
  28. 5
  29. 72
  30. 4
  31. 3
  32. 15
  33. 16
  34. 1
  35. 14
  36. 1
  37. 10
  38. 6
  39. 10
  40. 4

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