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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 23 · 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.Isha thinks of a number, multiplies it by 7 and then adds 6. The result is 41. What is the number?
  2. 2.Solve: 6(y + 9) = 84. What is y?
  3. 3.Solve: t/2 + 18 = 22. What is t?
  4. 4.Solve: t/2 + 5 = 10. What is t?
  5. 5.Pooja thinks of a number, multiplies it by 5 and then adds 6. The result is 66. What is the number?
  6. 6.Solve: n/2 + 10 = 13. What is n?
  7. 7.Solve: 7n − 42 = 63. What is n?
  8. 8.Solve: t/6 + 18 = 24. What is t?
  9. 9.Solve: p/9 + 17 = 21. What is p?
  10. 10.Solve: 2m + 7 = 9. What is m?
  11. 11.Solve: 4t − 11 = 1. What is t?
  12. 12.Arjun’s mother is twice as old as Arjun. Their ages add up to 39 years. How old is Arjun?
  13. 13.Priya is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  14. 14.Manav thinks of a number, multiplies it by 9 and then adds 15. The result is 114. What is the number?
  15. 15.Solve: 9x − 35 = 1. What is x?
  16. 16.Solve: 8(x + 4) = 72. What is x?
  17. 17.Solve: p/2 + 3 = 4. What is p?
  18. 18.Riya is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  19. 19.Solve: 7(x + 2) = 98. What is x?
  20. 20.Nisha thinks of a number, multiplies it by 7 and then adds 22. The result is 78. What is the number?
  21. 21.Solve: 8m − 9 = 31. What is m?
  22. 22.Riya thinks of a number, multiplies it by 9 and then adds 8. The result is 107. What is the number?
  23. 23.Solve: p/2 + 11 = 22. What is p?
  24. 24.Solve: 4y + 8 = 56. What is y?
  25. 25.Aditya thinks of a number, multiplies it by 5 and then adds 18. The result is 33. What is the number?
  26. 26.Solve: 4y − 1 = 15. What is y?
  27. 27.Nisha is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  28. 28.Isha thinks of a number, multiplies it by 4 and then adds 14. The result is 46. What is the number?
  29. 29.Solve: 9n + 29 = 155. What is n?
  30. 30.Aarav thinks of a number, multiplies it by 6 and then adds 12. The result is 66. What is the number?
  31. 31.Solve: 3(y + 1) = 24. What is y?
  32. 32.Rahul thinks of a number, multiplies it by 6 and then adds 19. The result is 43. What is the number?
  33. 33.Solve: 3(x + 4) = 15. What is x?
  34. 34.Solve: t/5 + 5 = 13. What is t?
  35. 35.Solve: 8n − 6 = 18. What is n?
  36. 36.Lakshmi thinks of a number, multiplies it by 8 and then adds 28. The result is 52. What is the number?
  37. 37.Solve: 6x + 5 = 11. What is x?
  38. 38.Rahul thinks of a number, multiplies it by 7 and then adds 16. The result is 79. What is the number?
  39. 39.Solve: m/9 + 4 = 12. What is m?
  40. 40.Solve: 9(p + 8) = 126. What is p?

Answer key

  1. 5
  2. 5
  3. 8
  4. 10
  5. 12
  6. 6
  7. 15
  8. 36
  9. 36
  10. 1
  11. 3
  12. 13
  13. 9
  14. 11
  15. 4
  16. 5
  17. 2
  18. 15
  19. 12
  20. 8
  21. 5
  22. 11
  23. 22
  24. 12
  25. 3
  26. 4
  27. 8
  28. 8
  29. 14
  30. 9
  31. 7
  32. 4
  33. 1
  34. 40
  35. 3
  36. 3
  37. 1
  38. 9
  39. 72
  40. 6

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