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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 288 · 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: n/9 + 10 = 15. What is n?
  2. 2.Solve: 2(m + 6) = 20. What is m?
  3. 3.Solve: 4t − 16 = 28. What is t?
  4. 4.Solve: 7(p + 4) = 77. What is p?
  5. 5.Sneha’s mother is three times as old as Sneha. Their ages add up to 28 years. How old is Sneha?
  6. 6.Diya’s mother is four times as old as Diya. Their ages add up to 30 years. How old is Diya?
  7. 7.Aarav’s mother is three times as old as Aarav. Their ages add up to 28 years. How old is Aarav?
  8. 8.Solve: 9y + 10 = 118. What is y?
  9. 9.Solve: 7(x + 4) = 105. What is x?
  10. 10.Karan thinks of a number, multiplies it by 2 and then adds 30. The result is 50. What is the number?
  11. 11.Solve: 6n − 1 = 5. What is n?
  12. 12.Solve: 3(n + 1) = 36. What is n?
  13. 13.Arjun is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  14. 14.Solve: 3(t + 4) = 36. What is t?
  15. 15.Rahul is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  16. 16.Aarav is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  17. 17.Joseph thinks of a number, multiplies it by 8 and then adds 4. The result is 28. What is the number?
  18. 18.Solve: 3m + 23 = 29. What is m?
  19. 19.Solve: 4p + 12 = 40. What is p?
  20. 20.Solve: m/4 + 3 = 9. What is m?
  21. 21.Solve: 5(x + 1) = 60. What is x?
  22. 22.Solve: x/2 + 16 = 30. What is x?
  23. 23.Solve: t/9 + 3 = 10. What is t?
  24. 24.Solve: 4x + 21 = 33. What is x?
  25. 25.Solve: 9y + 12 = 39. What is y?
  26. 26.Solve: 8(t + 5) = 128. What is t?
  27. 27.Solve: 5m + 18 = 43. What is m?
  28. 28.Solve: x/9 + 1 = 13. What is x?
  29. 29.Solve: 2y + 19 = 39. What is y?
  30. 30.Solve: 8y − 55 = 1. What is y?
  31. 31.Solve: 9n + 8 = 125. What is n?
  32. 32.Solve: 6m + 28 = 82. What is m?
  33. 33.Solve: y/2 + 9 = 17. What is y?
  34. 34.Karan thinks of a number, multiplies it by 9 and then adds 3. The result is 66. What is the number?
  35. 35.Diya thinks of a number, multiplies it by 3 and then adds 29. The result is 47. What is the number?
  36. 36.Solve: 8n + 9 = 17. What is n?
  37. 37.Solve: 7y + 17 = 101. What is y?
  38. 38.Solve: 8(p + 9) = 144. What is p?
  39. 39.Solve: 2m + 21 = 45. What is m?
  40. 40.Solve: p/6 + 15 = 30. What is p?

Answer key

  1. 45
  2. 4
  3. 11
  4. 7
  5. 7
  6. 6
  7. 7
  8. 12
  9. 11
  10. 10
  11. 1
  12. 11
  13. 6
  14. 8
  15. 12
  16. 10
  17. 3
  18. 2
  19. 7
  20. 24
  21. 11
  22. 28
  23. 63
  24. 3
  25. 3
  26. 11
  27. 5
  28. 108
  29. 10
  30. 7
  31. 13
  32. 9
  33. 16
  34. 7
  35. 6
  36. 1
  37. 12
  38. 9
  39. 12
  40. 90

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