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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 315 · 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: 9(n + 6) = 153. What is n?
  2. 2.Solve: 8m + 5 = 93. What is m?
  3. 3.Solve: 5p + 15 = 40. What is p?
  4. 4.Solve: m/7 + 5 = 7. What is m?
  5. 5.Solve: 4y − 1 = 55. What is y?
  6. 6.Solve: 8p + 15 = 95. What is p?
  7. 7.Meera thinks of a number, multiplies it by 3 and then adds 14. The result is 20. What is the number?
  8. 8.Solve: 3x + 12 = 51. What is x?
  9. 9.Solve: 3p − 32 = 10. What is p?
  10. 10.Manav’s mother is three times as old as Manav. Their ages add up to 16 years. How old is Manav?
  11. 11.Solve: 3(p + 6) = 36. What is p?
  12. 12.Solve: x/4 + 8 = 9. What is x?
  13. 13.Solve: 3p − 3 = 15. What is p?
  14. 14.Solve: 3t − 2 = 7. What is t?
  15. 15.Solve: 2y − 26 = 2. What is y?
  16. 16.Solve: 6x − 46 = 26. What is x?
  17. 17.Solve: 4t + 18 = 30. What is t?
  18. 18.Solve: 9p − 23 = 94. What is p?
  19. 19.Solve: 5y − 33 = 22. What is y?
  20. 20.Solve: 7n − 37 = 33. What is n?
  21. 21.Solve: 6n − 10 = 14. What is n?
  22. 22.Solve: 3y − 26 = 19. What is y?
  23. 23.Solve: 9(t + 6) = 189. What is t?
  24. 24.Solve: m/4 + 10 = 24. What is m?
  25. 25.Solve: 4m + 14 = 70. What is m?
  26. 26.Solve: 6x − 9 = 45. What is x?
  27. 27.Solve: 6t + 29 = 119. What is t?
  28. 28.Solve: 3(t + 8) = 39. What is t?
  29. 29.Solve: 2p + 19 = 39. What is p?
  30. 30.Solve: 9n + 7 = 34. What is n?
  31. 31.Solve: 7t + 9 = 100. What is t?
  32. 32.Solve: 6n − 44 = 4. What is n?
  33. 33.Farhan is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  34. 34.Solve: 6y + 3 = 27. What is y?
  35. 35.Kavya’s mother is twice as old as Kavya. Their ages add up to 36 years. How old is Kavya?
  36. 36.Joseph thinks of a number, multiplies it by 6 and then adds 20. The result is 50. What is the number?
  37. 37.Meera is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  38. 38.Solve: 7x − 28 = 7. What is x?
  39. 39.Solve: 6x + 19 = 31. What is x?
  40. 40.Solve: p/8 + 19 = 29. What is p?

Answer key

  1. 11
  2. 11
  3. 5
  4. 14
  5. 14
  6. 10
  7. 2
  8. 13
  9. 14
  10. 4
  11. 6
  12. 4
  13. 6
  14. 3
  15. 14
  16. 12
  17. 3
  18. 13
  19. 11
  20. 10
  21. 4
  22. 15
  23. 15
  24. 56
  25. 14
  26. 9
  27. 15
  28. 5
  29. 10
  30. 3
  31. 13
  32. 8
  33. 8
  34. 4
  35. 12
  36. 5
  37. 10
  38. 5
  39. 2
  40. 80

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