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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 238 · 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: 3y + 20 = 56. What is y?
  2. 2.Kabir is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  3. 3.Kavya is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  4. 4.Solve: 8m − 32 = 8. What is m?
  5. 5.Solve: 2t + 27 = 55. What is t?
  6. 6.Solve: 7t + 9 = 30. What is t?
  7. 7.Lakshmi thinks of a number, multiplies it by 6 and then adds 8. The result is 92. What is the number?
  8. 8.Kavya thinks of a number, multiplies it by 2 and then adds 16. The result is 18. What is the number?
  9. 9.Solve: 4(x + 9) = 84. What is x?
  10. 10.Meera thinks of a number, multiplies it by 4 and then adds 22. The result is 54. What is the number?
  11. 11.Solve: 2x − 2 = 2. What is x?
  12. 12.Solve: 9y + 13 = 94. What is y?
  13. 13.Rahul thinks of a number, multiplies it by 3 and then adds 4. The result is 31. What is the number?
  14. 14.Solve: n/8 + 3 = 6. What is n?
  15. 15.Solve: 6(x + 8) = 60. What is x?
  16. 16.Solve: t/2 + 6 = 17. What is t?
  17. 17.Arjun thinks of a number, multiplies it by 8 and then adds 16. The result is 104. What is the number?
  18. 18.Solve: 2(m + 8) = 26. What is m?
  19. 19.Karan thinks of a number, multiplies it by 3 and then adds 22. The result is 46. What is the number?
  20. 20.Solve: x/2 + 8 = 13. What is x?
  21. 21.Solve: 5x + 18 = 83. What is x?
  22. 22.Solve: 8(t + 9) = 152. What is t?
  23. 23.Ishaan is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  24. 24.Kabir thinks of a number, multiplies it by 4 and then adds 2. The result is 50. What is the number?
  25. 25.Pooja thinks of a number, multiplies it by 4 and then adds 27. The result is 35. What is the number?
  26. 26.Solve: 2p − 4 = 10. What is p?
  27. 27.Isha thinks of a number, multiplies it by 3 and then adds 17. The result is 41. What is the number?
  28. 28.Solve: 3x + 9 = 54. What is x?
  29. 29.Solve: 9m − 9 = 9. What is m?
  30. 30.Solve: x/2 + 3 = 10. What is x?
  31. 31.Solve: 4m + 19 = 43. What is m?
  32. 32.Aarav thinks of a number, multiplies it by 7 and then adds 9. The result is 30. What is the number?
  33. 33.Solve: 4y + 7 = 11. What is y?
  34. 34.Solve: 7(m + 4) = 119. What is m?
  35. 35.Solve: m/7 + 8 = 11. What is m?
  36. 36.Solve: 3m + 7 = 16. What is m?
  37. 37.Solve: y/2 + 1 = 15. What is y?
  38. 38.Solve: 6(n + 8) = 78. What is n?
  39. 39.Ananya thinks of a number, multiplies it by 5 and then adds 2. The result is 12. What is the number?
  40. 40.Solve: 6y − 48 = 12. What is y?

Answer key

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

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