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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 275 · 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.Aarav is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  2. 2.Solve: 5(t + 9) = 120. What is t?
  3. 3.Solve: 9x + 23 = 32. What is x?
  4. 4.Solve: 5x + 20 = 85. What is x?
  5. 5.Solve: 3y + 28 = 49. What is y?
  6. 6.Solve: 8x − 109 = 11. What is x?
  7. 7.Solve: 8t − 73 = 15. What is t?
  8. 8.Pooja thinks of a number, multiplies it by 5 and then adds 28. The result is 48. What is the number?
  9. 9.Solve: x/9 + 13 = 20. What is x?
  10. 10.Solve: 8m − 39 = 25. What is m?
  11. 11.Solve: m/4 + 20 = 25. What is m?
  12. 12.Riya is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  13. 13.Karan thinks of a number, multiplies it by 9 and then adds 16. The result is 115. What is the number?
  14. 14.Solve: 7m − 50 = 6. What is m?
  15. 15.Solve: m/4 + 2 = 13. What is m?
  16. 16.Solve: 5y + 21 = 66. What is y?
  17. 17.Kabir thinks of a number, multiplies it by 9 and then adds 10. The result is 91. What is the number?
  18. 18.Solve: 4p + 16 = 20. What is p?
  19. 19.Solve: 7(p + 7) = 91. What is p?
  20. 20.Isha thinks of a number, multiplies it by 8 and then adds 28. The result is 148. What is the number?
  21. 21.Arjun is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  22. 22.Solve: 6n + 1 = 7. What is n?
  23. 23.Solve: 2y − 5 = 25. What is y?
  24. 24.Solve: 4x − 39 = 17. What is x?
  25. 25.Solve: 7(p + 9) = 70. What is p?
  26. 26.Solve: y/2 + 2 = 8. What is y?
  27. 27.Solve: 7x + 4 = 11. What is x?
  28. 28.Solve: m/3 + 5 = 12. What is m?
  29. 29.Solve: 5m − 66 = 9. What is m?
  30. 30.Solve: 4t + 11 = 27. What is t?
  31. 31.Solve: 7(y + 3) = 35. What is y?
  32. 32.Solve: t/3 + 6 = 20. What is t?
  33. 33.Solve: 2p + 23 = 31. What is p?
  34. 34.Solve: 9n − 16 = 11. What is n?
  35. 35.Solve: 7p − 27 = 8. What is p?
  36. 36.Solve: 7p + 9 = 114. What is p?
  37. 37.Solve: 9n − 36 = 63. What is n?
  38. 38.Solve: 2x + 15 = 33. What is x?
  39. 39.Karan thinks of a number, multiplies it by 9 and then adds 16. The result is 70. What is the number?
  40. 40.Rohan thinks of a number, multiplies it by 2 and then adds 10. The result is 22. What is the number?

Answer key

  1. 7
  2. 15
  3. 1
  4. 13
  5. 7
  6. 15
  7. 11
  8. 4
  9. 63
  10. 8
  11. 20
  12. 5
  13. 11
  14. 8
  15. 44
  16. 9
  17. 9
  18. 1
  19. 6
  20. 15
  21. 6
  22. 1
  23. 15
  24. 14
  25. 1
  26. 12
  27. 1
  28. 21
  29. 15
  30. 4
  31. 2
  32. 42
  33. 4
  34. 3
  35. 5
  36. 15
  37. 11
  38. 9
  39. 6
  40. 6

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