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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 921 · 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.Rohan thinks of a number, multiplies it by 3 and then adds 29. The result is 59. What is the number?
  2. 2.Solve: 6m + 20 = 26. What is m?
  3. 3.Solve: 9(m + 1) = 144. What is m?
  4. 4.Arjun thinks of a number, multiplies it by 3 and then adds 17. The result is 50. What is the number?
  5. 5.Tara thinks of a number, multiplies it by 5 and then adds 10. The result is 20. What is the number?
  6. 6.Meera is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  7. 7.Solve: 6(t + 8) = 66. What is t?
  8. 8.Solve: y/8 + 10 = 18. What is y?
  9. 9.Solve: 5(t + 3) = 35. What is t?
  10. 10.Solve: 2(x + 8) = 24. What is x?
  11. 11.Solve: 2t + 2 = 30. What is t?
  12. 12.Solve: 6t + 18 = 78. What is t?
  13. 13.Pooja’s mother is twice as old as Pooja. Their ages add up to 39 years. How old is Pooja?
  14. 14.Solve: y/8 + 5 = 10. What is y?
  15. 15.Solve: t/6 + 13 = 18. What is t?
  16. 16.Solve: 2x + 10 = 14. What is x?
  17. 17.Solve: 5(x + 6) = 50. What is x?
  18. 18.Solve: 7m − 36 = 13. What is m?
  19. 19.Pooja’s mother is twice as old as Pooja. Their ages add up to 36 years. How old is Pooja?
  20. 20.Solve: 9(p + 1) = 99. What is p?
  21. 21.Solve: 5x − 39 = 36. What is x?
  22. 22.Solve: 3t + 30 = 51. What is t?
  23. 23.Solve: 5p − 27 = 13. What is p?
  24. 24.Rohan’s mother is four times as old as Rohan. Their ages add up to 65 years. How old is Rohan?
  25. 25.Priya thinks of a number, multiplies it by 5 and then adds 9. The result is 24. What is the number?
  26. 26.Solve: 4y − 27 = 9. What is y?
  27. 27.Arjun’s mother is twice as old as Arjun. Their ages add up to 21 years. How old is Arjun?
  28. 28.Vivaan is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  29. 29.Manav is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  30. 30.Solve: 2(n + 6) = 40. What is n?
  31. 31.Nisha is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  32. 32.Solve: 4y + 1 = 33. What is y?
  33. 33.Rahul’s mother is four times as old as Rahul. Their ages add up to 60 years. How old is Rahul?
  34. 34.Solve: 7t + 27 = 111. What is t?
  35. 35.Solve: 6x − 8 = 58. What is x?
  36. 36.Solve: 4(y + 5) = 60. What is y?
  37. 37.Solve: 5(x + 5) = 65. What is x?
  38. 38.Solve: 6(p + 3) = 48. What is p?
  39. 39.Solve: y/2 + 13 = 23. What is y?
  40. 40.Solve: t/7 + 14 = 27. What is t?

Answer key

  1. 10
  2. 1
  3. 15
  4. 11
  5. 2
  6. 15
  7. 3
  8. 64
  9. 4
  10. 4
  11. 14
  12. 10
  13. 13
  14. 40
  15. 30
  16. 2
  17. 4
  18. 7
  19. 12
  20. 10
  21. 15
  22. 7
  23. 8
  24. 13
  25. 3
  26. 9
  27. 7
  28. 15
  29. 5
  30. 14
  31. 13
  32. 8
  33. 12
  34. 12
  35. 11
  36. 10
  37. 8
  38. 5
  39. 20
  40. 91

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