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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 29 · 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.Tara’s mother is four times as old as Tara. Their ages add up to 60 years. How old is Tara?
  2. 2.Solve: 9x − 16 = 92. What is x?
  3. 3.Solve: n/2 + 5 = 19. What is n?
  4. 4.Solve: 7(x + 1) = 70. What is x?
  5. 5.Solve: y/8 + 14 = 16. What is y?
  6. 6.Solve: 8n + 7 = 23. What is n?
  7. 7.Solve: 3p − 1 = 8. What is p?
  8. 8.Solve: 6m + 16 = 106. What is m?
  9. 9.Solve: x/3 + 10 = 20. What is x?
  10. 10.Kavya thinks of a number, multiplies it by 2 and then adds 3. The result is 7. What is the number?
  11. 11.Solve: p/3 + 16 = 25. What is p?
  12. 12.Solve: 6t + 21 = 75. What is t?
  13. 13.Solve: 7m − 16 = 26. What is m?
  14. 14.Gurpreet is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  15. 15.Solve: 6(t + 1) = 78. What is t?
  16. 16.Lakshmi is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  17. 17.Vivaan thinks of a number, multiplies it by 4 and then adds 18. The result is 78. What is the number?
  18. 18.Solve: 2(n + 1) = 16. What is n?
  19. 19.Solve: 5y − 46 = 24. What is y?
  20. 20.Isha’s mother is four times as old as Isha. Their ages add up to 20 years. How old is Isha?
  21. 21.Solve: 3n + 9 = 42. What is n?
  22. 22.Saanvi thinks of a number, multiplies it by 8 and then adds 18. The result is 98. What is the number?
  23. 23.Solve: 6x + 21 = 39. What is x?
  24. 24.Solve: 9t + 18 = 63. What is t?
  25. 25.Solve: 8t − 3 = 5. What is t?
  26. 26.Gurpreet is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  27. 27.Solve: 7x − 16 = 47. What is x?
  28. 28.Nisha is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  29. 29.Solve: m/6 + 15 = 27. What is m?
  30. 30.Dev thinks of a number, multiplies it by 2 and then adds 1. The result is 31. What is the number?
  31. 31.Solve: 2x − 15 = 5. What is x?
  32. 32.Solve: 6y + 8 = 26. What is y?
  33. 33.Solve: 4p + 3 = 27. What is p?
  34. 34.Solve: n/6 + 10 = 17. What is n?
  35. 35.Solve: 2(n + 7) = 36. What is n?
  36. 36.Solve: 9p + 9 = 54. What is p?
  37. 37.Solve: 2y + 8 = 38. What is y?
  38. 38.Solve: 9x + 24 = 150. What is x?
  39. 39.Solve: 9x + 30 = 93. What is x?
  40. 40.Solve: 9p + 30 = 57. What is p?

Answer key

  1. 12
  2. 12
  3. 28
  4. 9
  5. 16
  6. 2
  7. 3
  8. 15
  9. 30
  10. 2
  11. 27
  12. 9
  13. 6
  14. 11
  15. 12
  16. 6
  17. 15
  18. 7
  19. 14
  20. 4
  21. 11
  22. 10
  23. 3
  24. 5
  25. 1
  26. 6
  27. 9
  28. 5
  29. 72
  30. 15
  31. 10
  32. 3
  33. 6
  34. 42
  35. 11
  36. 5
  37. 15
  38. 14
  39. 7
  40. 3

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