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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 774 · 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: m/9 + 7 = 12. What is m?
  2. 2.Solve: n/2 + 10 = 22. What is n?
  3. 3.Priya thinks of a number, multiplies it by 6 and then adds 27. The result is 117. What is the number?
  4. 4.Solve: 4(p + 4) = 32. What is p?
  5. 5.Aarav’s mother is three times as old as Aarav. Their ages add up to 20 years. How old is Aarav?
  6. 6.Aditya is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  7. 7.Solve: 7(x + 2) = 112. What is x?
  8. 8.Meera thinks of a number, multiplies it by 6 and then adds 19. The result is 73. What is the number?
  9. 9.Solve: 7m + 16 = 30. What is m?
  10. 10.Rahul is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  11. 11.Lakshmi is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  12. 12.Solve: 6x − 8 = 76. What is x?
  13. 13.Solve: y/2 + 20 = 29. What is y?
  14. 14.Solve: 7x + 6 = 104. What is x?
  15. 15.Solve: 5(x + 6) = 35. What is x?
  16. 16.Solve: m/8 + 12 = 27. What is m?
  17. 17.Solve: 7n + 2 = 72. What is n?
  18. 18.Solve: 3n − 1 = 5. What is n?
  19. 19.Solve: 8x + 28 = 100. What is x?
  20. 20.Solve: x/2 + 13 = 17. What is x?
  21. 21.Solve: 5m − 5 = 5. What is m?
  22. 22.Solve: 4(x + 5) = 72. What is x?
  23. 23.Solve: 9x + 9 = 135. What is x?
  24. 24.Solve: x/6 + 7 = 18. What is x?
  25. 25.Karan thinks of a number, multiplies it by 8 and then adds 30. The result is 118. What is the number?
  26. 26.Solve: 3n + 2 = 41. What is n?
  27. 27.Solve: 7t + 22 = 36. What is t?
  28. 28.Solve: t/6 + 1 = 8. What is t?
  29. 29.Solve: m/5 + 5 = 17. What is m?
  30. 30.Solve: p/9 + 7 = 16. What is p?
  31. 31.Meera thinks of a number, multiplies it by 8 and then adds 17. The result is 41. What is the number?
  32. 32.Solve: p/4 + 20 = 30. What is p?
  33. 33.Solve: 4(n + 4) = 32. What is n?
  34. 34.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 48 years. How old is Ishaan?
  35. 35.Solve: n/6 + 9 = 13. What is n?
  36. 36.Solve: 4m + 28 = 80. What is m?
  37. 37.Solve: 4(n + 6) = 32. What is n?
  38. 38.Solve: 2t − 4 = 8. What is t?
  39. 39.Solve: m/8 + 14 = 19. What is m?
  40. 40.Solve: 9m − 7 = 29. What is m?

Answer key

  1. 45
  2. 24
  3. 15
  4. 4
  5. 5
  6. 11
  7. 14
  8. 9
  9. 2
  10. 10
  11. 5
  12. 14
  13. 18
  14. 14
  15. 1
  16. 120
  17. 10
  18. 2
  19. 9
  20. 8
  21. 2
  22. 13
  23. 14
  24. 66
  25. 11
  26. 13
  27. 2
  28. 42
  29. 60
  30. 81
  31. 3
  32. 40
  33. 4
  34. 12
  35. 24
  36. 13
  37. 2
  38. 6
  39. 40
  40. 4

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