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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 154 · 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/4 + 15 = 21. What is y?
  2. 2.Solve: 8p − 3 = 37. What is p?
  3. 3.Arjun thinks of a number, multiplies it by 3 and then adds 16. The result is 43. What is the number?
  4. 4.Solve: 5(y + 8) = 95. What is y?
  5. 5.Solve: 2(p + 5) = 14. What is p?
  6. 6.Solve: 9p − 73 = 44. What is p?
  7. 7.Solve: 2y − 1 = 1. What is y?
  8. 8.Solve: x/3 + 20 = 24. What is x?
  9. 9.Solve: 7y − 5 = 2. What is y?
  10. 10.Solve: 9x − 8 = 37. What is x?
  11. 11.Solve: t/6 + 17 = 21. What is t?
  12. 12.Rohan thinks of a number, multiplies it by 9 and then adds 4. The result is 13. What is the number?
  13. 13.Solve: 6p − 2 = 10. What is p?
  14. 14.Solve: 8p + 17 = 25. What is p?
  15. 15.Tara’s mother is twice as old as Tara. Their ages add up to 30 years. How old is Tara?
  16. 16.Solve: 3m − 1 = 23. What is m?
  17. 17.Ishaan thinks of a number, multiplies it by 7 and then adds 21. The result is 56. What is the number?
  18. 18.Solve: x/4 + 5 = 17. What is x?
  19. 19.Solve: 6x − 50 = 22. What is x?
  20. 20.Aditya thinks of a number, multiplies it by 3 and then adds 29. The result is 65. What is the number?
  21. 21.Solve: 3p + 28 = 37. What is p?
  22. 22.Priya thinks of a number, multiplies it by 8 and then adds 2. The result is 66. What is the number?
  23. 23.Solve: n/9 + 2 = 17. What is n?
  24. 24.Solve: 2t + 15 = 41. What is t?
  25. 25.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 33 years. How old is Vivaan?
  26. 26.Solve: 6m + 5 = 17. What is m?
  27. 27.Solve: 3n + 3 = 45. What is n?
  28. 28.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 40 years. How old is Gurpreet?
  29. 29.Solve: p/3 + 15 = 20. What is p?
  30. 30.Priya thinks of a number, multiplies it by 3 and then adds 25. The result is 34. What is the number?
  31. 31.Kabir thinks of a number, multiplies it by 9 and then adds 1. The result is 100. What is the number?
  32. 32.Solve: 7t − 10 = 60. What is t?
  33. 33.Aditya thinks of a number, multiplies it by 3 and then adds 4. The result is 16. What is the number?
  34. 34.Solve: 7(n + 2) = 56. What is n?
  35. 35.Solve: m/9 + 4 = 10. What is m?
  36. 36.Solve: p/7 + 12 = 23. What is p?
  37. 37.Saanvi is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  38. 38.Rohan thinks of a number, multiplies it by 2 and then adds 29. The result is 35. What is the number?
  39. 39.Solve: 9(m + 5) = 90. What is m?
  40. 40.Solve: 9(p + 1) = 90. What is p?

Answer key

  1. 24
  2. 5
  3. 9
  4. 11
  5. 2
  6. 13
  7. 1
  8. 12
  9. 1
  10. 5
  11. 24
  12. 1
  13. 2
  14. 1
  15. 10
  16. 8
  17. 5
  18. 48
  19. 12
  20. 12
  21. 3
  22. 8
  23. 135
  24. 13
  25. 11
  26. 2
  27. 14
  28. 10
  29. 15
  30. 3
  31. 11
  32. 10
  33. 4
  34. 6
  35. 54
  36. 77
  37. 13
  38. 3
  39. 5
  40. 9

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