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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 709 · 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 is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  2. 2.Solve: p/5 + 5 = 13. What is p?
  3. 3.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 27 years. How old is Gurpreet?
  4. 4.Solve: 5m + 2 = 17. What is m?
  5. 5.Aditya thinks of a number, multiplies it by 8 and then adds 11. The result is 83. What is the number?
  6. 6.Vivaan is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  7. 7.Manav thinks of a number, multiplies it by 8 and then adds 14. The result is 30. What is the number?
  8. 8.Solve: y/9 + 6 = 20. What is y?
  9. 9.Ananya thinks of a number, multiplies it by 3 and then adds 10. The result is 19. What is the number?
  10. 10.Solve: 8n + 6 = 86. What is n?
  11. 11.Solve: 4y − 14 = 14. What is y?
  12. 12.Solve: t/8 + 19 = 34. What is t?
  13. 13.Arjun thinks of a number, multiplies it by 6 and then adds 1. The result is 73. What is the number?
  14. 14.Solve: 4(y + 1) = 32. What is y?
  15. 15.Solve: 4t − 10 = 2. What is t?
  16. 16.Solve: 4(t + 2) = 20. What is t?
  17. 17.Isha thinks of a number, multiplies it by 7 and then adds 8. The result is 99. What is the number?
  18. 18.Solve: x/6 + 14 = 19. What is x?
  19. 19.Dev thinks of a number, multiplies it by 7 and then adds 29. The result is 134. What is the number?
  20. 20.Solve: 9x − 11 = 7. What is x?
  21. 21.Arjun’s mother is three times as old as Arjun. Their ages add up to 24 years. How old is Arjun?
  22. 22.Solve: 6m + 11 = 23. What is m?
  23. 23.Solve: p/9 + 19 = 30. What is p?
  24. 24.Solve: 2x + 15 = 23. What is x?
  25. 25.Manav thinks of a number, multiplies it by 4 and then adds 3. The result is 47. What is the number?
  26. 26.Solve: 4n − 33 = 19. What is n?
  27. 27.Tara thinks of a number, multiplies it by 8 and then adds 15. The result is 87. What is the number?
  28. 28.Solve: 7m + 6 = 48. What is m?
  29. 29.Karan thinks of a number, multiplies it by 7 and then adds 11. The result is 46. What is the number?
  30. 30.Solve: 2x − 11 = 3. What is x?
  31. 31.Solve: 9n − 51 = 48. What is n?
  32. 32.Solve: 4t − 35 = 5. What is t?
  33. 33.Ananya is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  34. 34.Solve: 6(p + 3) = 60. What is p?
  35. 35.Solve: 2p − 2 = 10. What is p?
  36. 36.Pooja thinks of a number, multiplies it by 5 and then adds 8. The result is 33. What is the number?
  37. 37.Solve: 2x − 17 = 5. What is x?
  38. 38.Rahul thinks of a number, multiplies it by 8 and then adds 29. The result is 109. What is the number?
  39. 39.Solve: x/4 + 2 = 17. What is x?
  40. 40.Solve: 9p − 96 = 3. What is p?

Answer key

  1. 5
  2. 40
  3. 9
  4. 3
  5. 9
  6. 14
  7. 2
  8. 126
  9. 3
  10. 10
  11. 7
  12. 120
  13. 12
  14. 7
  15. 3
  16. 3
  17. 13
  18. 30
  19. 15
  20. 2
  21. 6
  22. 2
  23. 99
  24. 4
  25. 11
  26. 13
  27. 9
  28. 6
  29. 5
  30. 7
  31. 11
  32. 10
  33. 6
  34. 7
  35. 6
  36. 5
  37. 11
  38. 10
  39. 60
  40. 11

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