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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 403 · 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: 3x + 6 = 18. What is x?
  2. 2.Solve: 5(t + 3) = 70. What is t?
  3. 3.Solve: 2p + 3 = 19. What is p?
  4. 4.Solve: 5t + 16 = 36. What is t?
  5. 5.Priya thinks of a number, multiplies it by 4 and then adds 16. The result is 20. What is the number?
  6. 6.Solve: 2(p + 6) = 26. What is p?
  7. 7.Ananya thinks of a number, multiplies it by 6 and then adds 16. The result is 82. What is the number?
  8. 8.Solve: m/2 + 15 = 17. What is m?
  9. 9.Solve: 2p + 4 = 16. What is p?
  10. 10.Solve: 3x + 27 = 30. What is x?
  11. 11.Solve: 8(n + 3) = 128. What is n?
  12. 12.Solve: 9y − 5 = 76. What is y?
  13. 13.Solve: 8n + 18 = 106. What is n?
  14. 14.Solve: x/5 + 6 = 9. What is x?
  15. 15.Aditya is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  16. 16.Isha is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  17. 17.Solve: 6t − 25 = 59. What is t?
  18. 18.Kavya thinks of a number, multiplies it by 6 and then adds 8. The result is 62. What is the number?
  19. 19.Solve: 9x + 7 = 97. What is x?
  20. 20.Solve: 2y + 4 = 12. What is y?
  21. 21.Meera’s mother is three times as old as Meera. Their ages add up to 36 years. How old is Meera?
  22. 22.Solve: n/3 + 7 = 14. What is n?
  23. 23.Diya is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  24. 24.Solve: 6(m + 8) = 120. What is m?
  25. 25.Gurpreet thinks of a number, multiplies it by 3 and then adds 9. The result is 24. What is the number?
  26. 26.Solve: 5x − 9 = 16. What is x?
  27. 27.Solve: 6m + 26 = 44. What is m?
  28. 28.Aditya thinks of a number, multiplies it by 9 and then adds 8. The result is 89. What is the number?
  29. 29.Solve: t/9 + 11 = 26. What is t?
  30. 30.Solve: m/6 + 14 = 28. What is m?
  31. 31.Manav’s mother is twice as old as Manav. Their ages add up to 39 years. How old is Manav?
  32. 32.Solve: 2t − 14 = 4. What is t?
  33. 33.Solve: y/3 + 13 = 24. What is y?
  34. 34.Solve: 8(t + 9) = 168. What is t?
  35. 35.Zoya thinks of a number, multiplies it by 8 and then adds 2. The result is 122. What is the number?
  36. 36.Solve: 8y − 82 = 14. What is y?
  37. 37.Rohan thinks of a number, multiplies it by 2 and then adds 1. The result is 15. What is the number?
  38. 38.Solve: 3p − 21 = 12. What is p?
  39. 39.Karan’s mother is three times as old as Karan. Their ages add up to 24 years. How old is Karan?
  40. 40.Solve: 4x + 29 = 89. What is x?

Answer key

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

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