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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 910 · 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: 8(y + 5) = 88. What is y?
  2. 2.Ananya is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  3. 3.Solve: 4n + 20 = 44. What is n?
  4. 4.Solve: 2(m + 7) = 34. What is m?
  5. 5.Sneha thinks of a number, multiplies it by 5 and then adds 16. The result is 76. What is the number?
  6. 6.Solve: 9x + 16 = 70. What is x?
  7. 7.Manav is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  8. 8.Solve: y/9 + 4 = 15. What is y?
  9. 9.Lakshmi is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  10. 10.Solve: 6m − 3 = 3. What is m?
  11. 11.Solve: 4(x + 5) = 76. What is x?
  12. 12.Solve: 5y − 13 = 37. What is y?
  13. 13.Solve: 8y + 1 = 97. What is y?
  14. 14.Solve: 4(x + 2) = 64. What is x?
  15. 15.Solve: 9t + 7 = 70. What is t?
  16. 16.Solve: 4m − 27 = 17. What is m?
  17. 17.Solve: 4x + 2 = 46. What is x?
  18. 18.Solve: 4p + 7 = 35. What is p?
  19. 19.Solve: x/2 + 8 = 23. What is x?
  20. 20.Solve: 5m − 9 = 6. What is m?
  21. 21.Solve: 3y − 28 = 2. What is y?
  22. 22.Solve: 6y − 4 = 2. What is y?
  23. 23.Solve: 2y − 25 = 1. What is y?
  24. 24.Solve: 2(p + 2) = 26. What is p?
  25. 25.Rahul thinks of a number, multiplies it by 5 and then adds 28. The result is 43. What is the number?
  26. 26.Rahul is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  27. 27.Solve: 2t − 2 = 20. What is t?
  28. 28.Solve: 9x − 15 = 30. What is x?
  29. 29.Solve: 4y + 12 = 64. What is y?
  30. 30.Diya thinks of a number, multiplies it by 6 and then adds 24. The result is 42. What is the number?
  31. 31.Solve: 5(m + 9) = 85. What is m?
  32. 32.Solve: 5t − 10 = 55. What is t?
  33. 33.Meera thinks of a number, multiplies it by 3 and then adds 8. The result is 35. What is the number?
  34. 34.Isha thinks of a number, multiplies it by 2 and then adds 16. The result is 28. What is the number?
  35. 35.Solve: 6t − 12 = 6. What is t?
  36. 36.Solve: m/6 + 18 = 23. What is m?
  37. 37.Solve: 9(x + 4) = 162. What is x?
  38. 38.Arjun thinks of a number, multiplies it by 6 and then adds 17. The result is 59. What is the number?
  39. 39.Solve: p/3 + 10 = 12. What is p?
  40. 40.Solve: 7x − 12 = 93. What is x?

Answer key

  1. 6
  2. 12
  3. 6
  4. 10
  5. 12
  6. 6
  7. 7
  8. 99
  9. 15
  10. 1
  11. 14
  12. 10
  13. 12
  14. 14
  15. 7
  16. 11
  17. 11
  18. 7
  19. 30
  20. 3
  21. 10
  22. 1
  23. 13
  24. 11
  25. 3
  26. 12
  27. 11
  28. 5
  29. 13
  30. 3
  31. 8
  32. 13
  33. 9
  34. 6
  35. 3
  36. 30
  37. 14
  38. 7
  39. 6
  40. 15

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