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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 726 · 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: 5p − 5 = 35. What is p?
  2. 2.Solve: 2x + 7 = 35. What is x?
  3. 3.Tara thinks of a number, multiplies it by 2 and then adds 10. The result is 38. What is the number?
  4. 4.Solve: 4x − 10 = 10. What is x?
  5. 5.Karan’s mother is three times as old as Karan. Their ages add up to 20 years. How old is Karan?
  6. 6.Diya’s mother is four times as old as Diya. Their ages add up to 55 years. How old is Diya?
  7. 7.Solve: 4n + 15 = 31. What is n?
  8. 8.Solve: 7x + 13 = 20. What is x?
  9. 9.Solve: 2p − 4 = 6. What is p?
  10. 10.Solve: 3p − 5 = 25. What is p?
  11. 11.Solve: 5t − 13 = 12. What is t?
  12. 12.Riya’s mother is twice as old as Riya. Their ages add up to 21 years. How old is Riya?
  13. 13.Solve: 8p + 30 = 150. What is p?
  14. 14.Solve: 2n + 30 = 38. What is n?
  15. 15.Solve: 2(p + 6) = 18. What is p?
  16. 16.Nisha thinks of a number, multiplies it by 6 and then adds 13. The result is 73. What is the number?
  17. 17.Tara thinks of a number, multiplies it by 3 and then adds 13. The result is 46. What is the number?
  18. 18.Solve: 5(y + 4) = 30. What is y?
  19. 19.Solve: n/2 + 1 = 3. What is n?
  20. 20.Pooja thinks of a number, multiplies it by 3 and then adds 19. The result is 28. What is the number?
  21. 21.Solve: y/7 + 6 = 19. What is y?
  22. 22.Solve: 3(p + 3) = 51. What is p?
  23. 23.Solve: 8t − 79 = 17. What is t?
  24. 24.Solve: 5n − 4 = 1. What is n?
  25. 25.Solve: n/9 + 4 = 14. What is n?
  26. 26.Isha’s mother is four times as old as Isha. Their ages add up to 35 years. How old is Isha?
  27. 27.Solve: 8t − 12 = 12. What is t?
  28. 28.Lakshmi thinks of a number, multiplies it by 8 and then adds 26. The result is 66. What is the number?
  29. 29.Solve: 4y + 30 = 34. What is y?
  30. 30.Solve: m/4 + 6 = 7. What is m?
  31. 31.Lakshmi thinks of a number, multiplies it by 2 and then adds 3. The result is 5. What is the number?
  32. 32.Diya thinks of a number, multiplies it by 5 and then adds 11. The result is 76. What is the number?
  33. 33.Solve: 8y − 5 = 3. What is y?
  34. 34.Solve: x/6 + 5 = 19. What is x?
  35. 35.Solve: 3y + 21 = 27. What is y?
  36. 36.Rohan thinks of a number, multiplies it by 4 and then adds 19. The result is 27. What is the number?
  37. 37.Arjun thinks of a number, multiplies it by 5 and then adds 5. The result is 40. What is the number?
  38. 38.Solve: 7m − 28 = 7. What is m?
  39. 39.Solve: 2n + 22 = 44. What is n?
  40. 40.Isha is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?

Answer key

  1. 8
  2. 14
  3. 14
  4. 5
  5. 5
  6. 11
  7. 4
  8. 1
  9. 5
  10. 10
  11. 5
  12. 7
  13. 15
  14. 4
  15. 3
  16. 10
  17. 11
  18. 2
  19. 4
  20. 3
  21. 91
  22. 14
  23. 12
  24. 1
  25. 90
  26. 7
  27. 3
  28. 5
  29. 1
  30. 4
  31. 1
  32. 13
  33. 1
  34. 84
  35. 2
  36. 2
  37. 7
  38. 5
  39. 11
  40. 4

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