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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 811 · 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: 4(t + 6) = 56. What is t?
  2. 2.Gurpreet thinks of a number, multiplies it by 4 and then adds 18. The result is 78. What is the number?
  3. 3.Nisha thinks of a number, multiplies it by 3 and then adds 18. The result is 39. What is the number?
  4. 4.Solve: 3x − 10 = 2. What is x?
  5. 5.Nisha thinks of a number, multiplies it by 4 and then adds 7. The result is 47. What is the number?
  6. 6.Solve: 9x + 9 = 45. What is x?
  7. 7.Solve: 2(t + 4) = 34. What is t?
  8. 8.Solve: 5t − 24 = 41. What is t?
  9. 9.Solve: m/5 + 13 = 21. What is m?
  10. 10.Solve: t/4 + 4 = 7. What is t?
  11. 11.Dev is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  12. 12.Rohan is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  13. 13.Solve: 2p + 27 = 43. What is p?
  14. 14.Solve: p/4 + 9 = 12. What is p?
  15. 15.Solve: t/2 + 17 = 20. What is t?
  16. 16.Solve: 6p − 53 = 1. What is p?
  17. 17.Solve: m/6 + 18 = 32. What is m?
  18. 18.Tara’s mother is three times as old as Tara. Their ages add up to 44 years. How old is Tara?
  19. 19.Solve: 4x + 19 = 51. What is x?
  20. 20.Solve: 7x − 30 = 61. What is x?
  21. 21.Solve: 9t + 21 = 66. What is t?
  22. 22.Arjun thinks of a number, multiplies it by 3 and then adds 14. The result is 50. What is the number?
  23. 23.Solve: 7(m + 5) = 42. What is m?
  24. 24.Solve: 3p + 8 = 11. What is p?
  25. 25.Solve: 8(m + 7) = 112. What is m?
  26. 26.Arjun is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  27. 27.Solve: 5x − 10 = 10. What is x?
  28. 28.Solve: 8x − 4 = 20. What is x?
  29. 29.Solve: 8y − 58 = 6. What is y?
  30. 30.Solve: 8x + 8 = 56. What is x?
  31. 31.Solve: 9t + 12 = 138. What is t?
  32. 32.Kabir thinks of a number, multiplies it by 6 and then adds 13. The result is 55. What is the number?
  33. 33.Solve: 2(p + 4) = 10. What is p?
  34. 34.Solve: p/9 + 9 = 24. What is p?
  35. 35.Solve: 6t − 14 = 64. What is t?
  36. 36.Solve: m/4 + 1 = 7. What is m?
  37. 37.Solve: 4n − 16 = 36. What is n?
  38. 38.Solve: 4t − 18 = 26. What is t?
  39. 39.Joseph’s mother is three times as old as Joseph. Their ages add up to 60 years. How old is Joseph?
  40. 40.Aarav is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?

Answer key

  1. 8
  2. 15
  3. 7
  4. 4
  5. 10
  6. 4
  7. 13
  8. 13
  9. 40
  10. 12
  11. 9
  12. 13
  13. 8
  14. 12
  15. 6
  16. 9
  17. 84
  18. 11
  19. 8
  20. 13
  21. 5
  22. 12
  23. 1
  24. 1
  25. 7
  26. 6
  27. 4
  28. 3
  29. 8
  30. 6
  31. 14
  32. 7
  33. 1
  34. 135
  35. 13
  36. 24
  37. 13
  38. 11
  39. 15
  40. 12

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