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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 91 · 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: 4y + 5 = 13. What is y?
  2. 2.Solve: 2(p + 5) = 18. What is p?
  3. 3.Solve: 8m + 22 = 142. What is m?
  4. 4.Kabir thinks of a number, multiplies it by 8 and then adds 4. The result is 100. What is the number?
  5. 5.Saanvi thinks of a number, multiplies it by 4 and then adds 13. The result is 65. What is the number?
  6. 6.Solve: 2t + 29 = 35. What is t?
  7. 7.Solve: x/4 + 3 = 11. What is x?
  8. 8.Solve: 4(t + 7) = 36. What is t?
  9. 9.Solve: 4x + 9 = 69. What is x?
  10. 10.Solve: 3y − 5 = 1. What is y?
  11. 11.Zoya thinks of a number, multiplies it by 3 and then adds 10. The result is 13. What is the number?
  12. 12.Solve: 9n − 12 = 60. What is n?
  13. 13.Diya thinks of a number, multiplies it by 5 and then adds 21. The result is 46. What is the number?
  14. 14.Solve: 8p + 23 = 143. What is p?
  15. 15.Solve: 4(y + 3) = 68. What is y?
  16. 16.Solve: 5(n + 4) = 90. What is n?
  17. 17.Manav thinks of a number, multiplies it by 6 and then adds 7. The result is 73. What is the number?
  18. 18.Solve: 2m − 3 = 1. What is m?
  19. 19.Diya is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  20. 20.Solve: 2(m + 2) = 30. What is m?
  21. 21.Solve: p/9 + 7 = 22. What is p?
  22. 22.Solve: p/6 + 2 = 12. What is p?
  23. 23.Solve: 9(p + 2) = 117. What is p?
  24. 24.Lakshmi thinks of a number, multiplies it by 8 and then adds 11. The result is 51. What is the number?
  25. 25.Solve: 4(m + 5) = 60. What is m?
  26. 26.Zoya thinks of a number, multiplies it by 9 and then adds 3. The result is 30. What is the number?
  27. 27.Kabir thinks of a number, multiplies it by 5 and then adds 25. The result is 35. What is the number?
  28. 28.Solve: 9x + 3 = 21. What is x?
  29. 29.Karan’s mother is twice as old as Karan. Their ages add up to 30 years. How old is Karan?
  30. 30.Solve: 5p − 22 = 3. What is p?
  31. 31.Solve: n/3 + 18 = 33. What is n?
  32. 32.Solve: 2p + 12 = 42. What is p?
  33. 33.Solve: 5(x + 8) = 80. What is x?
  34. 34.Solve: 2x − 9 = 7. What is x?
  35. 35.Solve: 9y − 37 = 71. What is y?
  36. 36.Kabir thinks of a number, multiplies it by 9 and then adds 15. The result is 42. What is the number?
  37. 37.Solve: 6(y + 3) = 42. What is y?
  38. 38.Solve: 2y − 9 = 19. What is y?
  39. 39.Solve: 5x + 1 = 6. What is x?
  40. 40.Solve: n/3 + 4 = 18. What is n?

Answer key

  1. 2
  2. 4
  3. 15
  4. 12
  5. 13
  6. 3
  7. 32
  8. 2
  9. 15
  10. 2
  11. 1
  12. 8
  13. 5
  14. 15
  15. 14
  16. 14
  17. 11
  18. 2
  19. 4
  20. 13
  21. 135
  22. 60
  23. 11
  24. 5
  25. 10
  26. 3
  27. 2
  28. 2
  29. 10
  30. 5
  31. 45
  32. 15
  33. 8
  34. 8
  35. 12
  36. 3
  37. 4
  38. 14
  39. 1
  40. 42

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