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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 794 · 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: p/5 + 10 = 12. What is p?
  2. 2.Solve: t/4 + 13 = 18. What is t?
  3. 3.Solve: 6x + 16 = 40. What is x?
  4. 4.Solve: 9p + 1 = 91. What is p?
  5. 5.Solve: 5m − 8 = 37. What is m?
  6. 6.Solve: y/5 + 14 = 16. What is y?
  7. 7.Solve: x/8 + 5 = 17. What is x?
  8. 8.Solve: 6n − 61 = 29. What is n?
  9. 9.Solve: 3y − 3 = 42. What is y?
  10. 10.Solve: 3m − 6 = 27. What is m?
  11. 11.Solve: y/7 + 19 = 28. What is y?
  12. 12.Solve: 5n + 22 = 32. What is n?
  13. 13.Rahul is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  14. 14.Diya’s mother is twice as old as Diya. Their ages add up to 33 years. How old is Diya?
  15. 15.Ishaan thinks of a number, multiplies it by 2 and then adds 3. The result is 5. What is the number?
  16. 16.Solve: 9m − 8 = 10. What is m?
  17. 17.Solve: 4(t + 7) = 40. What is t?
  18. 18.Gurpreet thinks of a number, multiplies it by 6 and then adds 12. The result is 42. What is the number?
  19. 19.Sneha thinks of a number, multiplies it by 2 and then adds 10. The result is 30. What is the number?
  20. 20.Solve: 6(m + 6) = 84. What is m?
  21. 21.Arjun is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  22. 22.Solve: 7t − 10 = 74. What is t?
  23. 23.Solve: 8(t + 2) = 32. What is t?
  24. 24.Manav is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  25. 25.Solve: 2t + 7 = 37. What is t?
  26. 26.Solve: 5m − 13 = 7. What is m?
  27. 27.Solve: 3(t + 1) = 45. What is t?
  28. 28.Solve: 5(n + 5) = 75. What is n?
  29. 29.Solve: 5y + 28 = 98. What is y?
  30. 30.Rahul thinks of a number, multiplies it by 6 and then adds 14. The result is 44. What is the number?
  31. 31.Solve: 5p − 29 = 16. What is p?
  32. 32.Solve: 5y − 8 = 2. What is y?
  33. 33.Solve: 3m − 27 = 3. What is m?
  34. 34.Solve: 3(y + 3) = 54. What is y?
  35. 35.Pooja thinks of a number, multiplies it by 5 and then adds 6. The result is 66. What is the number?
  36. 36.Arjun thinks of a number, multiplies it by 9 and then adds 4. The result is 139. What is the number?
  37. 37.Ishaan thinks of a number, multiplies it by 4 and then adds 16. The result is 56. What is the number?
  38. 38.Kabir thinks of a number, multiplies it by 9 and then adds 11. The result is 20. What is the number?
  39. 39.Solve: 5(n + 3) = 20. What is n?
  40. 40.Dev’s mother is three times as old as Dev. Their ages add up to 16 years. How old is Dev?

Answer key

  1. 10
  2. 20
  3. 4
  4. 10
  5. 9
  6. 10
  7. 96
  8. 15
  9. 15
  10. 11
  11. 63
  12. 2
  13. 11
  14. 11
  15. 1
  16. 2
  17. 3
  18. 5
  19. 10
  20. 8
  21. 13
  22. 12
  23. 2
  24. 13
  25. 15
  26. 4
  27. 14
  28. 10
  29. 14
  30. 5
  31. 9
  32. 2
  33. 10
  34. 15
  35. 12
  36. 15
  37. 10
  38. 1
  39. 1
  40. 4

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