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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 650 · 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: 9(x + 7) = 81. What is x?
  2. 2.Dev is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  3. 3.Solve: 3y + 11 = 14. What is y?
  4. 4.Solve: 3m + 12 = 18. What is m?
  5. 5.Solve: x/4 + 17 = 24. What is x?
  6. 6.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 16 years. How old is Gurpreet?
  7. 7.Solve: 5p + 1 = 66. What is p?
  8. 8.Solve: 4x − 6 = 2. What is x?
  9. 9.Solve: 6(p + 1) = 48. What is p?
  10. 10.Joseph thinks of a number, multiplies it by 2 and then adds 5. The result is 19. What is the number?
  11. 11.Solve: 8y − 7 = 17. What is y?
  12. 12.Solve: 3y + 3 = 6. What is y?
  13. 13.Solve: 3(x + 8) = 63. What is x?
  14. 14.Solve: 8(y + 6) = 128. What is y?
  15. 15.Solve: 8y + 19 = 75. What is y?
  16. 16.Rohan is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  17. 17.Pooja thinks of a number, multiplies it by 4 and then adds 17. The result is 33. What is the number?
  18. 18.Zoya thinks of a number, multiplies it by 3 and then adds 6. The result is 15. What is the number?
  19. 19.Solve: 7t + 4 = 32. What is t?
  20. 20.Solve: 6t + 22 = 94. What is t?
  21. 21.Ananya’s mother is three times as old as Ananya. Their ages add up to 32 years. How old is Ananya?
  22. 22.Solve: 2t + 4 = 12. What is t?
  23. 23.Solve: 2m + 3 = 33. What is m?
  24. 24.Arjun is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  25. 25.Riya thinks of a number, multiplies it by 2 and then adds 1. The result is 5. What is the number?
  26. 26.Solve: 6n − 63 = 27. What is n?
  27. 27.Solve: 3m + 8 = 47. What is m?
  28. 28.Solve: 4(p + 4) = 24. What is p?
  29. 29.Kabir thinks of a number, multiplies it by 5 and then adds 25. The result is 40. What is the number?
  30. 30.Solve: 6(x + 4) = 78. What is x?
  31. 31.Solve: 9m − 57 = 60. What is m?
  32. 32.Solve: m/3 + 12 = 14. What is m?
  33. 33.Solve: 7m + 10 = 73. What is m?
  34. 34.Solve: m/5 + 11 = 15. What is m?
  35. 35.Joseph thinks of a number, multiplies it by 5 and then adds 5. The result is 45. What is the number?
  36. 36.Solve: 4n + 15 = 67. What is n?
  37. 37.Lakshmi is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  38. 38.Solve: 4t − 3 = 1. What is t?
  39. 39.Solve: 6(x + 5) = 84. What is x?
  40. 40.Solve: 6(t + 2) = 72. What is t?

Answer key

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

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