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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 106 · 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: 6y − 69 = 3. What is y?
  2. 2.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 18 years. How old is Ishaan?
  3. 3.Solve: 4p − 18 = 2. What is p?
  4. 4.Solve: 2n + 4 = 24. What is n?
  5. 5.Solve: 3y − 8 = 16. What is y?
  6. 6.Solve: n/2 + 16 = 27. What is n?
  7. 7.Solve: n/9 + 20 = 32. What is n?
  8. 8.Solve: y/6 + 1 = 5. What is y?
  9. 9.Solve: p/9 + 1 = 15. What is p?
  10. 10.Solve: 4x − 22 = 2. What is x?
  11. 11.Solve: 6t + 30 = 78. What is t?
  12. 12.Pooja is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  13. 13.Isha is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  14. 14.Rahul thinks of a number, multiplies it by 7 and then adds 18. The result is 60. What is the number?
  15. 15.Solve: 4(m + 3) = 28. What is m?
  16. 16.Solve: 9(n + 1) = 36. What is n?
  17. 17.Karan is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  18. 18.Meera’s mother is three times as old as Meera. Their ages add up to 16 years. How old is Meera?
  19. 19.Solve: 2(x + 2) = 16. What is x?
  20. 20.Solve: 8n + 27 = 123. What is n?
  21. 21.Solve: 9(p + 3) = 36. What is p?
  22. 22.Solve: 5p + 21 = 36. What is p?
  23. 23.Solve: t/2 + 2 = 8. What is t?
  24. 24.Solve: 7t − 25 = 31. What is t?
  25. 25.Tara thinks of a number, multiplies it by 2 and then adds 24. The result is 30. What is the number?
  26. 26.Diya’s mother is twice as old as Diya. Their ages add up to 27 years. How old is Diya?
  27. 27.Solve: 9p + 23 = 131. What is p?
  28. 28.Vivaan thinks of a number, multiplies it by 4 and then adds 29. The result is 37. What is the number?
  29. 29.Solve: 3n − 3 = 12. What is n?
  30. 30.Solve: 4p + 21 = 57. What is p?
  31. 31.Solve: 5p + 3 = 18. What is p?
  32. 32.Solve: 5m + 13 = 88. What is m?
  33. 33.Solve: 7x + 25 = 123. What is x?
  34. 34.Solve: 5p + 5 = 10. What is p?
  35. 35.Aarav’s mother is twice as old as Aarav. Their ages add up to 21 years. How old is Aarav?
  36. 36.Solve: 7n − 6 = 43. What is n?
  37. 37.Solve: 4(n + 3) = 24. What is n?
  38. 38.Rohan thinks of a number, multiplies it by 4 and then adds 28. The result is 88. What is the number?
  39. 39.Solve: 6x + 13 = 31. What is x?
  40. 40.Nisha thinks of a number, multiplies it by 4 and then adds 21. The result is 49. What is the number?

Answer key

  1. 12
  2. 6
  3. 5
  4. 10
  5. 8
  6. 22
  7. 108
  8. 24
  9. 126
  10. 6
  11. 8
  12. 13
  13. 10
  14. 6
  15. 4
  16. 3
  17. 7
  18. 4
  19. 6
  20. 12
  21. 1
  22. 3
  23. 12
  24. 8
  25. 3
  26. 9
  27. 12
  28. 2
  29. 5
  30. 9
  31. 3
  32. 15
  33. 14
  34. 1
  35. 7
  36. 7
  37. 3
  38. 15
  39. 3
  40. 7

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