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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 755 · 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.Meera thinks of a number, multiplies it by 7 and then adds 12. The result is 75. What is the number?
  2. 2.Solve: 8m − 83 = 13. What is m?
  3. 3.Ishaan is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  4. 4.Diya thinks of a number, multiplies it by 4 and then adds 27. The result is 83. What is the number?
  5. 5.Zoya is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  6. 6.Solve: 5n + 22 = 62. What is n?
  7. 7.Solve: 7(n + 6) = 70. What is n?
  8. 8.Solve: 4(n + 8) = 44. What is n?
  9. 9.Solve: 2p − 5 = 25. What is p?
  10. 10.Solve: 4m − 10 = 2. What is m?
  11. 11.Solve: 6n + 28 = 64. What is n?
  12. 12.Solve: 7y − 21 = 56. What is y?
  13. 13.Saanvi is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  14. 14.Aarav is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  15. 15.Solve: 7x − 58 = 19. What is x?
  16. 16.Solve: 2p − 1 = 1. What is p?
  17. 17.Aarav’s mother is twice as old as Aarav. Their ages add up to 24 years. How old is Aarav?
  18. 18.Solve: 4x + 8 = 28. What is x?
  19. 19.Solve: 3p + 12 = 21. What is p?
  20. 20.Solve: 5t − 8 = 32. What is t?
  21. 21.Solve: y/6 + 19 = 24. What is y?
  22. 22.Solve: 9(x + 5) = 126. What is x?
  23. 23.Dev thinks of a number, multiplies it by 8 and then adds 27. The result is 139. What is the number?
  24. 24.Solve: 8x − 10 = 6. What is x?
  25. 25.Solve: 6n + 18 = 42. What is n?
  26. 26.Zoya’s mother is four times as old as Zoya. Their ages add up to 60 years. How old is Zoya?
  27. 27.Solve: 3(t + 1) = 27. What is t?
  28. 28.Solve: 4m + 9 = 37. What is m?
  29. 29.Rohan’s mother is twice as old as Rohan. Their ages add up to 36 years. How old is Rohan?
  30. 30.Solve: 2(p + 4) = 16. What is p?
  31. 31.Solve: m/2 + 3 = 11. What is m?
  32. 32.Solve: 9(t + 2) = 144. What is t?
  33. 33.Solve: 9x − 10 = 8. What is x?
  34. 34.Sneha is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  35. 35.Solve: n/4 + 9 = 24. What is n?
  36. 36.Solve: n/3 + 15 = 22. What is n?
  37. 37.Rahul’s mother is three times as old as Rahul. Their ages add up to 48 years. How old is Rahul?
  38. 38.Solve: p/7 + 6 = 19. What is p?
  39. 39.Saanvi thinks of a number, multiplies it by 8 and then adds 20. The result is 100. What is the number?
  40. 40.Farhan thinks of a number, multiplies it by 5 and then adds 30. The result is 60. What is the number?

Answer key

  1. 9
  2. 12
  3. 8
  4. 14
  5. 8
  6. 8
  7. 4
  8. 3
  9. 15
  10. 3
  11. 6
  12. 11
  13. 12
  14. 11
  15. 11
  16. 1
  17. 8
  18. 5
  19. 3
  20. 8
  21. 30
  22. 9
  23. 14
  24. 2
  25. 4
  26. 12
  27. 8
  28. 7
  29. 12
  30. 4
  31. 16
  32. 14
  33. 2
  34. 7
  35. 60
  36. 21
  37. 12
  38. 91
  39. 10
  40. 6

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