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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 13 · 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: m/2 + 13 = 22. What is m?
  2. 2.Solve: x/8 + 11 = 13. What is x?
  3. 3.Solve: 7t + 21 = 42. What is t?
  4. 4.Solve: 5y + 9 = 54. What is y?
  5. 5.Solve: 4x − 9 = 7. What is x?
  6. 6.Solve: n/4 + 8 = 15. What is n?
  7. 7.Dev thinks of a number, multiplies it by 8 and then adds 11. The result is 107. What is the number?
  8. 8.Aarav thinks of a number, multiplies it by 7 and then adds 9. The result is 16. What is the number?
  9. 9.Solve: 8m − 42 = 38. What is m?
  10. 10.Zoya thinks of a number, multiplies it by 2 and then adds 19. The result is 43. What is the number?
  11. 11.Solve: 6(t + 3) = 48. What is t?
  12. 12.Solve: x/2 + 4 = 11. What is x?
  13. 13.Solve: 5(n + 6) = 75. What is n?
  14. 14.Solve: n/9 + 3 = 7. What is n?
  15. 15.Solve: x/7 + 14 = 23. What is x?
  16. 16.Diya’s mother is three times as old as Diya. Their ages add up to 32 years. How old is Diya?
  17. 17.Solve: 3(n + 7) = 63. What is n?
  18. 18.Solve: 2x − 9 = 5. What is x?
  19. 19.Solve: x/2 + 16 = 17. What is x?
  20. 20.Solve: 4n − 1 = 7. What is n?
  21. 21.Solve: 8m − 2 = 6. What is m?
  22. 22.Solve: 7t − 18 = 3. What is t?
  23. 23.Solve: 3y − 3 = 3. What is y?
  24. 24.Solve: 2p − 6 = 4. What is p?
  25. 25.Joseph thinks of a number, multiplies it by 3 and then adds 10. The result is 40. What is the number?
  26. 26.Solve: 2(x + 8) = 40. What is x?
  27. 27.Gurpreet thinks of a number, multiplies it by 4 and then adds 23. The result is 51. What is the number?
  28. 28.Solve: 2m − 10 = 8. What is m?
  29. 29.Solve: 2y + 28 = 54. What is y?
  30. 30.Arjun thinks of a number, multiplies it by 7 and then adds 24. The result is 45. What is the number?
  31. 31.Solve: 3y + 14 = 41. What is y?
  32. 32.Solve: 9t − 78 = 39. What is t?
  33. 33.Karan thinks of a number, multiplies it by 4 and then adds 8. The result is 20. What is the number?
  34. 34.Solve: x/5 + 12 = 15. What is x?
  35. 35.Solve: 7(m + 3) = 49. What is m?
  36. 36.Solve: 5(n + 6) = 70. What is n?
  37. 37.Karan’s mother is three times as old as Karan. Their ages add up to 28 years. How old is Karan?
  38. 38.Solve: 4p − 5 = 19. What is p?
  39. 39.Solve: m/9 + 18 = 24. What is m?
  40. 40.Dev’s mother is three times as old as Dev. Their ages add up to 32 years. How old is Dev?

Answer key

  1. 18
  2. 16
  3. 3
  4. 9
  5. 4
  6. 28
  7. 12
  8. 1
  9. 10
  10. 12
  11. 5
  12. 14
  13. 9
  14. 36
  15. 63
  16. 8
  17. 14
  18. 7
  19. 2
  20. 2
  21. 1
  22. 3
  23. 2
  24. 5
  25. 10
  26. 12
  27. 7
  28. 9
  29. 13
  30. 3
  31. 9
  32. 13
  33. 3
  34. 15
  35. 4
  36. 8
  37. 7
  38. 6
  39. 54
  40. 8

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