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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 184 · 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: y/7 + 1 = 2. What is y?
  2. 2.Farhan thinks of a number, multiplies it by 8 and then adds 17. The result is 89. What is the number?
  3. 3.Ananya’s mother is three times as old as Ananya. Their ages add up to 56 years. How old is Ananya?
  4. 4.Solve: 3(t + 8) = 63. What is t?
  5. 5.Solve: 9p − 33 = 39. What is p?
  6. 6.Solve: n/9 + 6 = 7. What is n?
  7. 7.Solve: n/4 + 18 = 29. What is n?
  8. 8.Solve: 8t − 22 = 10. What is t?
  9. 9.Solve: 3m − 2 = 4. What is m?
  10. 10.Solve: y/9 + 15 = 16. What is y?
  11. 11.Solve: m/3 + 8 = 15. What is m?
  12. 12.Solve: p/4 + 2 = 16. What is p?
  13. 13.Kavya thinks of a number, multiplies it by 9 and then adds 26. The result is 116. What is the number?
  14. 14.Ishaan thinks of a number, multiplies it by 5 and then adds 6. The result is 11. What is the number?
  15. 15.Solve: m/5 + 4 = 11. What is m?
  16. 16.Solve: m/9 + 5 = 9. What is m?
  17. 17.Solve: 9m − 10 = 26. What is m?
  18. 18.Solve: 7(p + 8) = 63. What is p?
  19. 19.Solve: p/4 + 11 = 22. What is p?
  20. 20.Solve: n/4 + 18 = 33. What is n?
  21. 21.Solve: 2t − 6 = 22. What is t?
  22. 22.Ishaan is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  23. 23.Solve: 9y − 1 = 17. What is y?
  24. 24.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 36 years. How old is Ishaan?
  25. 25.Solve: 9(p + 8) = 189. What is p?
  26. 26.Solve: t/2 + 7 = 12. What is t?
  27. 27.Gurpreet is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  28. 28.Meera’s mother is three times as old as Meera. Their ages add up to 52 years. How old is Meera?
  29. 29.Aarav thinks of a number, multiplies it by 7 and then adds 5. The result is 110. What is the number?
  30. 30.Solve: t/5 + 3 = 11. What is t?
  31. 31.Solve: 2x + 21 = 33. What is x?
  32. 32.Solve: 8x − 11 = 13. What is x?
  33. 33.Solve: x/5 + 3 = 14. What is x?
  34. 34.Solve: x/6 + 6 = 13. What is x?
  35. 35.Ananya thinks of a number, multiplies it by 5 and then adds 4. The result is 54. What is the number?
  36. 36.Vivaan is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  37. 37.Riya thinks of a number, multiplies it by 2 and then adds 12. The result is 42. What is the number?
  38. 38.Solve: 8t − 3 = 101. What is t?
  39. 39.Rohan thinks of a number, multiplies it by 4 and then adds 21. The result is 69. What is the number?
  40. 40.Rohan thinks of a number, multiplies it by 8 and then adds 15. The result is 63. What is the number?

Answer key

  1. 7
  2. 9
  3. 14
  4. 13
  5. 8
  6. 9
  7. 44
  8. 4
  9. 2
  10. 9
  11. 21
  12. 56
  13. 10
  14. 1
  15. 35
  16. 36
  17. 4
  18. 1
  19. 44
  20. 60
  21. 14
  22. 4
  23. 2
  24. 12
  25. 13
  26. 10
  27. 4
  28. 13
  29. 15
  30. 40
  31. 6
  32. 3
  33. 55
  34. 42
  35. 10
  36. 14
  37. 15
  38. 13
  39. 12
  40. 6

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