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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 77 · 40 sums
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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: 2n + 30 = 52. What is n?
  2. 2.Diya’s mother is three times as old as Diya. Their ages add up to 48 years. How old is Diya?
  3. 3.Solve: 2t − 1 = 1. What is t?
  4. 4.Solve: 3x − 19 = 17. What is x?
  5. 5.Solve: 3x + 11 = 32. What is x?
  6. 6.Farhan thinks of a number, multiplies it by 7 and then adds 6. The result is 48. What is the number?
  7. 7.Solve: 9y + 13 = 103. What is y?
  8. 8.Solve: 7t + 9 = 65. What is t?
  9. 9.Solve: x/8 + 4 = 10. What is x?
  10. 10.Solve: 4y + 4 = 48. What is y?
  11. 11.Manav thinks of a number, multiplies it by 5 and then adds 19. The result is 44. What is the number?
  12. 12.Solve: 4(p + 7) = 44. What is p?
  13. 13.Solve: 2m − 1 = 1. What is m?
  14. 14.Vivaan is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  15. 15.Zoya is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  16. 16.Solve: 7x − 19 = 9. What is x?
  17. 17.Solve: 2p − 9 = 5. What is p?
  18. 18.Solve: 6(n + 7) = 48. What is n?
  19. 19.Solve: 6(y + 3) = 66. What is y?
  20. 20.Solve: 3t + 3 = 18. What is t?
  21. 21.Kabir thinks of a number, multiplies it by 6 and then adds 25. The result is 43. What is the number?
  22. 22.Solve: y/9 + 11 = 16. What is y?
  23. 23.Solve: 6(x + 7) = 132. What is x?
  24. 24.Solve: n/5 + 1 = 10. What is n?
  25. 25.Rahul is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  26. 26.Solve: 2(m + 2) = 34. What is m?
  27. 27.Solve: 2p − 13 = 13. What is p?
  28. 28.Solve: 3(p + 1) = 45. What is p?
  29. 29.Solve: 2t + 4 = 6. What is t?
  30. 30.Solve: 7t − 6 = 15. What is t?
  31. 31.Aditya is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  32. 32.Solve: 3t − 10 = 8. What is t?
  33. 33.Solve: x/6 + 14 = 29. What is x?
  34. 34.Solve: 7m + 8 = 85. What is m?
  35. 35.Ananya thinks of a number, multiplies it by 8 and then adds 8. The result is 112. What is the number?
  36. 36.Solve: 7t − 44 = 12. What is t?
  37. 37.Solve: n/9 + 15 = 17. What is n?
  38. 38.Solve: 6y − 12 = 66. What is y?
  39. 39.Isha thinks of a number, multiplies it by 2 and then adds 6. The result is 10. What is the number?
  40. 40.Solve: 4(y + 4) = 40. What is y?

Answer key

  1. 11
  2. 12
  3. 1
  4. 12
  5. 7
  6. 6
  7. 10
  8. 8
  9. 48
  10. 11
  11. 5
  12. 4
  13. 1
  14. 9
  15. 6
  16. 4
  17. 7
  18. 1
  19. 8
  20. 5
  21. 3
  22. 45
  23. 15
  24. 45
  25. 4
  26. 15
  27. 13
  28. 14
  29. 1
  30. 3
  31. 11
  32. 6
  33. 90
  34. 11
  35. 13
  36. 8
  37. 18
  38. 13
  39. 2
  40. 6

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