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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 213 · 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: 5y + 2 = 7. What is y?
  2. 2.Kabir is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  3. 3.Arjun thinks of a number, multiplies it by 4 and then adds 24. The result is 44. What is the number?
  4. 4.Solve: 9n − 17 = 28. What is n?
  5. 5.Solve: 4t + 17 = 41. What is t?
  6. 6.Solve: 8n + 11 = 83. What is n?
  7. 7.Lakshmi is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  8. 8.Solve: 9t − 55 = 8. What is t?
  9. 9.Solve: 7(t + 8) = 161. What is t?
  10. 10.Solve: t/2 + 14 = 25. What is t?
  11. 11.Solve: 5n + 24 = 64. What is n?
  12. 12.Solve: 4p + 1 = 25. What is p?
  13. 13.Solve: y/4 + 2 = 14. What is y?
  14. 14.Solve: 7(p + 1) = 105. What is p?
  15. 15.Solve: 5p + 13 = 78. What is p?
  16. 16.Solve: y/6 + 17 = 24. What is y?
  17. 17.Pooja thinks of a number, multiplies it by 4 and then adds 29. The result is 49. What is the number?
  18. 18.Solve: 3x + 3 = 15. What is x?
  19. 19.Solve: p/8 + 14 = 22. What is p?
  20. 20.Solve: n/4 + 20 = 35. What is n?
  21. 21.Solve: 4(y + 8) = 36. What is y?
  22. 22.Solve: 6y + 23 = 101. What is y?
  23. 23.Tara thinks of a number, multiplies it by 3 and then adds 2. The result is 11. What is the number?
  24. 24.Aarav thinks of a number, multiplies it by 8 and then adds 28. The result is 124. What is the number?
  25. 25.Solve: n/2 + 5 = 19. What is n?
  26. 26.Solve: 3m − 5 = 1. What is m?
  27. 27.Solve: 8n + 10 = 18. What is n?
  28. 28.Solve: 3p + 9 = 12. What is p?
  29. 29.Solve: 8m + 16 = 24. What is m?
  30. 30.Rahul thinks of a number, multiplies it by 4 and then adds 20. The result is 52. What is the number?
  31. 31.Riya thinks of a number, multiplies it by 8 and then adds 4. The result is 60. What is the number?
  32. 32.Solve: 2(x + 5) = 40. What is x?
  33. 33.Solve: 3(m + 6) = 30. What is m?
  34. 34.Solve: 6(x + 7) = 78. What is x?
  35. 35.Solve: 6x + 28 = 76. What is x?
  36. 36.Solve: 8x + 28 = 68. What is x?
  37. 37.Solve: 4(y + 1) = 24. What is y?
  38. 38.Kabir’s mother is twice as old as Kabir. Their ages add up to 12 years. How old is Kabir?
  39. 39.Lakshmi thinks of a number, multiplies it by 4 and then adds 28. The result is 84. What is the number?
  40. 40.Solve: 2m − 7 = 11. What is m?

Answer key

  1. 1
  2. 12
  3. 5
  4. 5
  5. 6
  6. 9
  7. 15
  8. 7
  9. 15
  10. 22
  11. 8
  12. 6
  13. 48
  14. 14
  15. 13
  16. 42
  17. 5
  18. 4
  19. 64
  20. 60
  21. 1
  22. 13
  23. 3
  24. 12
  25. 28
  26. 2
  27. 1
  28. 1
  29. 1
  30. 8
  31. 7
  32. 15
  33. 4
  34. 6
  35. 8
  36. 5
  37. 5
  38. 4
  39. 14
  40. 9

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