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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 10 · 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: 3m − 25 = 11. What is m?
  2. 2.Solve: 8m − 6 = 58. What is m?
  3. 3.Solve: x/8 + 11 = 25. What is x?
  4. 4.Solve: 9(t + 1) = 126. What is t?
  5. 5.Dev’s mother is four times as old as Dev. Their ages add up to 70 years. How old is Dev?
  6. 6.Solve: 9(n + 2) = 63. What is n?
  7. 7.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 56 years. How old is Saanvi?
  8. 8.Solve: 6y + 15 = 33. What is y?
  9. 9.Solve: 9x + 19 = 28. What is x?
  10. 10.Solve: 3x − 11 = 34. What is x?
  11. 11.Solve: x/4 + 11 = 23. What is x?
  12. 12.Riya is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  13. 13.Solve: 5m + 18 = 53. What is m?
  14. 14.Solve: y/4 + 5 = 16. What is y?
  15. 15.Aarav is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  16. 16.Arjun’s mother is three times as old as Arjun. Their ages add up to 40 years. How old is Arjun?
  17. 17.Rahul is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  18. 18.Solve: 7p + 1 = 92. What is p?
  19. 19.Solve: 5x − 28 = 7. What is x?
  20. 20.Solve: x/2 + 12 = 22. What is x?
  21. 21.Ishaan thinks of a number, multiplies it by 4 and then adds 16. The result is 68. What is the number?
  22. 22.Solve: 2(p + 2) = 6. What is p?
  23. 23.Solve: n/2 + 13 = 18. What is n?
  24. 24.Solve: 6(x + 4) = 108. What is x?
  25. 25.Solve: 4p + 9 = 21. What is p?
  26. 26.Dev thinks of a number, multiplies it by 3 and then adds 23. The result is 53. What is the number?
  27. 27.Vivaan thinks of a number, multiplies it by 8 and then adds 18. The result is 106. What is the number?
  28. 28.Meera is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  29. 29.Solve: p/3 + 5 = 17. What is p?
  30. 30.Solve: 3n + 20 = 32. What is n?
  31. 31.Meera thinks of a number, multiplies it by 2 and then adds 28. The result is 38. What is the number?
  32. 32.Solve: y/5 + 19 = 33. What is y?
  33. 33.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 24 years. How old is Vivaan?
  34. 34.Solve: 3(m + 1) = 45. What is m?
  35. 35.Zoya thinks of a number, multiplies it by 8 and then adds 7. The result is 63. What is the number?
  36. 36.Solve: x/6 + 4 = 15. What is x?
  37. 37.Solve: 2y + 9 = 27. What is y?
  38. 38.Solve: y/7 + 1 = 4. What is y?
  39. 39.Solve: t/3 + 1 = 16. What is t?
  40. 40.Riya thinks of a number, multiplies it by 2 and then adds 24. The result is 34. What is the number?

Answer key

  1. 12
  2. 8
  3. 112
  4. 13
  5. 14
  6. 5
  7. 14
  8. 3
  9. 1
  10. 15
  11. 48
  12. 6
  13. 7
  14. 44
  15. 6
  16. 10
  17. 6
  18. 13
  19. 7
  20. 20
  21. 13
  22. 1
  23. 10
  24. 14
  25. 3
  26. 10
  27. 11
  28. 5
  29. 36
  30. 4
  31. 5
  32. 70
  33. 8
  34. 14
  35. 7
  36. 66
  37. 9
  38. 21
  39. 45
  40. 5

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