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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 113 · 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: 5m − 20 = 25. What is m?
  2. 2.Aarav thinks of a number, multiplies it by 2 and then adds 26. The result is 34. What is the number?
  3. 3.Kavya thinks of a number, multiplies it by 5 and then adds 16. The result is 46. What is the number?
  4. 4.Vivaan is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  5. 5.Solve: 4m − 23 = 17. What is m?
  6. 6.Solve: 7x + 9 = 114. What is x?
  7. 7.Solve: t/6 + 13 = 15. What is t?
  8. 8.Rohan thinks of a number, multiplies it by 3 and then adds 12. The result is 54. What is the number?
  9. 9.Solve: x/3 + 9 = 23. What is x?
  10. 10.Arjun thinks of a number, multiplies it by 3 and then adds 17. The result is 47. What is the number?
  11. 11.Solve: 2p + 27 = 53. What is p?
  12. 12.Solve: n/6 + 13 = 18. What is n?
  13. 13.Solve: 3(x + 7) = 36. What is x?
  14. 14.Rohan is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  15. 15.Pooja is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  16. 16.Solve: p/2 + 5 = 6. What is p?
  17. 17.Saanvi thinks of a number, multiplies it by 8 and then adds 30. The result is 54. What is the number?
  18. 18.Diya thinks of a number, multiplies it by 4 and then adds 11. The result is 43. What is the number?
  19. 19.Solve: 5x − 34 = 1. What is x?
  20. 20.Diya is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  21. 21.Solve: 9t − 44 = 73. What is t?
  22. 22.Solve: 5t + 27 = 67. What is t?
  23. 23.Solve: 6n − 16 = 2. What is n?
  24. 24.Karan thinks of a number, multiplies it by 3 and then adds 27. The result is 39. What is the number?
  25. 25.Solve: 8p + 12 = 124. What is p?
  26. 26.Solve: 9p − 18 = 45. What is p?
  27. 27.Aditya thinks of a number, multiplies it by 6 and then adds 1. The result is 19. What is the number?
  28. 28.Meera is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  29. 29.Solve: 9t + 19 = 127. What is t?
  30. 30.Sneha thinks of a number, multiplies it by 8 and then adds 19. The result is 51. What is the number?
  31. 31.Solve: 9y + 27 = 90. What is y?
  32. 32.Aarav thinks of a number, multiplies it by 3 and then adds 21. The result is 54. What is the number?
  33. 33.Solve: 6(x + 9) = 60. What is x?
  34. 34.Aarav is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  35. 35.Solve: m/5 + 14 = 28. What is m?
  36. 36.Ishaan thinks of a number, multiplies it by 2 and then adds 24. The result is 28. What is the number?
  37. 37.Solve: 6x − 5 = 37. What is x?
  38. 38.Solve: 6y + 28 = 118. What is y?
  39. 39.Aarav is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  40. 40.Isha thinks of a number, multiplies it by 3 and then adds 9. The result is 21. What is the number?

Answer key

  1. 9
  2. 4
  3. 6
  4. 14
  5. 10
  6. 15
  7. 12
  8. 14
  9. 42
  10. 10
  11. 13
  12. 30
  13. 5
  14. 6
  15. 6
  16. 2
  17. 3
  18. 8
  19. 7
  20. 14
  21. 13
  22. 8
  23. 3
  24. 4
  25. 14
  26. 7
  27. 3
  28. 15
  29. 12
  30. 4
  31. 7
  32. 11
  33. 1
  34. 13
  35. 70
  36. 2
  37. 7
  38. 15
  39. 5
  40. 4

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