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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 333 · 40 sums
TalentJR

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: 8t + 14 = 22. What is t?
  2. 2.Solve: 8(p + 9) = 192. What is p?
  3. 3.Solve: 5(t + 4) = 95. What is t?
  4. 4.Solve: n/3 + 12 = 27. What is n?
  5. 5.Solve: n/5 + 17 = 32. What is n?
  6. 6.Solve: 4(p + 1) = 24. What is p?
  7. 7.Solve: 4y − 59 = 1. What is y?
  8. 8.Solve: 3x − 7 = 2. What is x?
  9. 9.Solve: 2m + 9 = 17. What is m?
  10. 10.Solve: 8m + 2 = 26. What is m?
  11. 11.Solve: 5x + 21 = 61. What is x?
  12. 12.Solve: m/6 + 10 = 20. What is m?
  13. 13.Solve: 6x + 25 = 79. What is x?
  14. 14.Solve: y/2 + 19 = 23. What is y?
  15. 15.Solve: 9t − 20 = 7. What is t?
  16. 16.Solve: 4(p + 2) = 32. What is p?
  17. 17.Solve: 9x − 19 = 62. What is x?
  18. 18.Kavya is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  19. 19.Solve: 9y + 21 = 39. What is y?
  20. 20.Solve: 5p − 5 = 25. What is p?
  21. 21.Solve: 6p + 2 = 86. What is p?
  22. 22.Diya is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  23. 23.Solve: 5(m + 5) = 60. What is m?
  24. 24.Joseph is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  25. 25.Ananya is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  26. 26.Solve: x/3 + 9 = 11. What is x?
  27. 27.Solve: 8(m + 6) = 96. What is m?
  28. 28.Solve: 4(t + 1) = 40. What is t?
  29. 29.Solve: 4(n + 7) = 36. What is n?
  30. 30.Solve: 4n + 15 = 27. What is n?
  31. 31.Solve: x/4 + 2 = 4. What is x?
  32. 32.Solve: 4y + 17 = 53. What is y?
  33. 33.Solve: 5x + 10 = 20. What is x?
  34. 34.Solve: 5p − 1 = 14. What is p?
  35. 35.Solve: 6x − 4 = 38. What is x?
  36. 36.Solve: 3n − 31 = 5. What is n?
  37. 37.Solve: 3y + 30 = 42. What is y?
  38. 38.Meera thinks of a number, multiplies it by 2 and then adds 15. The result is 35. What is the number?
  39. 39.Solve: 7(n + 8) = 119. What is n?
  40. 40.Solve: 3x − 19 = 5. What is x?

Answer key

  1. 1
  2. 15
  3. 15
  4. 45
  5. 75
  6. 5
  7. 15
  8. 3
  9. 4
  10. 3
  11. 8
  12. 60
  13. 9
  14. 8
  15. 3
  16. 6
  17. 9
  18. 7
  19. 2
  20. 6
  21. 14
  22. 11
  23. 7
  24. 5
  25. 7
  26. 6
  27. 6
  28. 9
  29. 2
  30. 3
  31. 8
  32. 9
  33. 2
  34. 3
  35. 7
  36. 12
  37. 4
  38. 10
  39. 9
  40. 8

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