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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 443 · 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: 4m − 36 = 12. What is m?
  2. 2.Solve: 8(p + 1) = 16. What is p?
  3. 3.Solve: 6(p + 8) = 138. What is p?
  4. 4.Solve: 7x + 10 = 101. What is x?
  5. 5.Solve: 2x − 6 = 18. What is x?
  6. 6.Solve: x/8 + 1 = 3. What is x?
  7. 7.Joseph’s mother is twice as old as Joseph. Their ages add up to 12 years. How old is Joseph?
  8. 8.Solve: 9m − 46 = 8. What is m?
  9. 9.Nisha is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  10. 10.Solve: 6(n + 6) = 96. What is n?
  11. 11.Solve: x/2 + 10 = 21. What is x?
  12. 12.Solve: 3t + 6 = 33. What is t?
  13. 13.Solve: 8t − 77 = 11. What is t?
  14. 14.Solve: n/7 + 5 = 6. What is n?
  15. 15.Solve: 9n − 11 = 25. What is n?
  16. 16.Kavya thinks of a number, multiplies it by 9 and then adds 18. The result is 108. What is the number?
  17. 17.Solve: 7t − 12 = 72. What is t?
  18. 18.Solve: 6x + 19 = 43. What is x?
  19. 19.Farhan thinks of a number, multiplies it by 2 and then adds 13. The result is 25. What is the number?
  20. 20.Solve: x/7 + 11 = 17. What is x?
  21. 21.Solve: 8n + 8 = 48. What is n?
  22. 22.Solve: 3x + 19 = 43. What is x?
  23. 23.Solve: t/7 + 3 = 11. What is t?
  24. 24.Solve: 3(x + 4) = 15. What is x?
  25. 25.Solve: p/7 + 20 = 28. What is p?
  26. 26.Solve: x/7 + 17 = 28. What is x?
  27. 27.Joseph thinks of a number, multiplies it by 6 and then adds 17. The result is 65. What is the number?
  28. 28.Solve: 7x − 34 = 22. What is x?
  29. 29.Solve: 3m + 23 = 44. What is m?
  30. 30.Ananya’s mother is three times as old as Ananya. Their ages add up to 48 years. How old is Ananya?
  31. 31.Solve: p/3 + 7 = 16. What is p?
  32. 32.Solve: 5p + 26 = 81. What is p?
  33. 33.Solve: t/4 + 7 = 15. What is t?
  34. 34.Diya is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  35. 35.Aarav thinks of a number, multiplies it by 9 and then adds 5. The result is 104. What is the number?
  36. 36.Solve: 3p + 24 = 54. What is p?
  37. 37.Kavya’s mother is twice as old as Kavya. Their ages add up to 24 years. How old is Kavya?
  38. 38.Solve: 9t − 53 = 73. What is t?
  39. 39.Solve: 2n + 22 = 38. What is n?
  40. 40.Solve: x/4 + 2 = 16. What is x?

Answer key

  1. 12
  2. 1
  3. 15
  4. 13
  5. 12
  6. 16
  7. 4
  8. 6
  9. 4
  10. 10
  11. 22
  12. 9
  13. 11
  14. 7
  15. 4
  16. 10
  17. 12
  18. 4
  19. 6
  20. 42
  21. 5
  22. 8
  23. 56
  24. 1
  25. 56
  26. 77
  27. 8
  28. 8
  29. 7
  30. 12
  31. 27
  32. 11
  33. 32
  34. 12
  35. 11
  36. 10
  37. 8
  38. 14
  39. 8
  40. 56

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