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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 868 · 40 sums
TalentJR

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/4 + 18 = 24. What is m?
  2. 2.Riya thinks of a number, multiplies it by 8 and then adds 14. The result is 102. What is the number?
  3. 3.Solve: 2m + 21 = 31. What is m?
  4. 4.Solve: 6(x + 6) = 42. What is x?
  5. 5.Solve: 2(p + 2) = 12. What is p?
  6. 6.Solve: 2n − 13 = 1. What is n?
  7. 7.Solve: 2(n + 9) = 24. What is n?
  8. 8.Solve: 5p − 13 = 52. What is p?
  9. 9.Solve: 5t − 6 = 4. What is t?
  10. 10.Diya thinks of a number, multiplies it by 7 and then adds 14. The result is 70. What is the number?
  11. 11.Solve: m/7 + 9 = 10. What is m?
  12. 12.Solve: 7m − 7 = 7. What is m?
  13. 13.Solve: 6m + 13 = 67. What is m?
  14. 14.Solve: 9(t + 5) = 72. What is t?
  15. 15.Solve: 2m + 28 = 44. What is m?
  16. 16.Solve: 8n − 10 = 94. What is n?
  17. 17.Solve: n/5 + 15 = 17. What is n?
  18. 18.Riya’s mother is three times as old as Riya. Their ages add up to 52 years. How old is Riya?
  19. 19.Solve: x/9 + 6 = 19. What is x?
  20. 20.Solve: 6n − 1 = 35. What is n?
  21. 21.Solve: n/8 + 4 = 10. What is n?
  22. 22.Aarav’s mother is four times as old as Aarav. Their ages add up to 20 years. How old is Aarav?
  23. 23.Solve: 4t + 19 = 35. What is t?
  24. 24.Solve: n/3 + 6 = 21. What is n?
  25. 25.Solve: 6(m + 4) = 42. What is m?
  26. 26.Isha is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  27. 27.Solve: x/2 + 3 = 18. What is x?
  28. 28.Solve: 5y + 2 = 7. What is y?
  29. 29.Solve: y/6 + 4 = 18. What is y?
  30. 30.Solve: 5(y + 5) = 100. What is y?
  31. 31.Solve: 7(p + 3) = 77. What is p?
  32. 32.Solve: 2m − 1 = 21. What is m?
  33. 33.Aarav’s mother is four times as old as Aarav. Their ages add up to 35 years. How old is Aarav?
  34. 34.Ananya is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  35. 35.Solve: 9p − 46 = 62. What is p?
  36. 36.Solve: 6n − 66 = 12. What is n?
  37. 37.Solve: 6(x + 2) = 102. What is x?
  38. 38.Solve: 9(x + 5) = 144. What is x?
  39. 39.Solve: 9x − 4 = 14. What is x?
  40. 40.Solve: 8(x + 8) = 72. What is x?

Answer key

  1. 24
  2. 11
  3. 5
  4. 1
  5. 4
  6. 7
  7. 3
  8. 13
  9. 2
  10. 8
  11. 7
  12. 2
  13. 9
  14. 3
  15. 8
  16. 13
  17. 10
  18. 13
  19. 117
  20. 6
  21. 48
  22. 4
  23. 4
  24. 45
  25. 3
  26. 8
  27. 30
  28. 1
  29. 84
  30. 15
  31. 8
  32. 11
  33. 7
  34. 11
  35. 12
  36. 13
  37. 15
  38. 11
  39. 2
  40. 1

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