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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 991 · 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: 2(p + 6) = 18. What is p?
  2. 2.Solve: 7(x + 4) = 49. What is x?
  3. 3.Solve: 3(p + 9) = 39. What is p?
  4. 4.Solve: 8m − 17 = 7. What is m?
  5. 5.Solve: 4x + 11 = 63. What is x?
  6. 6.Solve: 8m + 27 = 35. What is m?
  7. 7.Riya is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  8. 8.Solve: m/4 + 5 = 8. What is m?
  9. 9.Solve: 9(p + 3) = 90. What is p?
  10. 10.Riya thinks of a number, multiplies it by 5 and then adds 8. The result is 63. What is the number?
  11. 11.Solve: 9y − 35 = 55. What is y?
  12. 12.Solve: 9y + 20 = 74. What is y?
  13. 13.Solve: 3m − 1 = 2. What is m?
  14. 14.Solve: 3t − 24 = 12. What is t?
  15. 15.Solve: 8t + 21 = 93. What is t?
  16. 16.Solve: 7(n + 1) = 77. What is n?
  17. 17.Solve: 9(t + 8) = 117. What is t?
  18. 18.Solve: 2x − 3 = 27. What is x?
  19. 19.Solve: 2(p + 9) = 32. What is p?
  20. 20.Solve: 3(t + 6) = 30. What is t?
  21. 21.Solve: n/6 + 11 = 15. What is n?
  22. 22.Isha thinks of a number, multiplies it by 7 and then adds 19. The result is 110. What is the number?
  23. 23.Farhan is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  24. 24.Solve: 5x − 2 = 8. What is x?
  25. 25.Solve: 6x + 2 = 32. What is x?
  26. 26.Solve: 8(p + 7) = 176. What is p?
  27. 27.Solve: x/3 + 6 = 18. What is x?
  28. 28.Diya’s mother is three times as old as Diya. Their ages add up to 48 years. How old is Diya?
  29. 29.Aditya is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  30. 30.Solve: 3m − 25 = 8. What is m?
  31. 31.Sneha is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  32. 32.Solve: 8t + 7 = 15. What is t?
  33. 33.Isha thinks of a number, multiplies it by 4 and then adds 20. The result is 64. What is the number?
  34. 34.Saanvi thinks of a number, multiplies it by 4 and then adds 8. The result is 12. What is the number?
  35. 35.Solve: m/4 + 2 = 4. What is m?
  36. 36.Solve: 8t − 55 = 9. What is t?
  37. 37.Solve: y/9 + 20 = 33. What is y?
  38. 38.Dev is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  39. 39.Solve: 4p − 5 = 39. What is p?
  40. 40.Solve: 5m − 11 = 19. What is m?

Answer key

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

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