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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 928 · 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.Riya thinks of a number, multiplies it by 4 and then adds 6. The result is 14. What is the number?
  2. 2.Vivaan thinks of a number, multiplies it by 5 and then adds 14. The result is 84. What is the number?
  3. 3.Solve: 8x + 2 = 74. What is x?
  4. 4.Solve: 5m − 52 = 18. What is m?
  5. 5.Solve: 9p + 4 = 67. What is p?
  6. 6.Gurpreet is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  7. 7.Solve: 5(t + 6) = 40. What is t?
  8. 8.Solve: 2t − 1 = 5. What is t?
  9. 9.Solve: 2x − 5 = 1. What is x?
  10. 10.Solve: p/2 + 20 = 22. What is p?
  11. 11.Solve: 3p + 12 = 51. What is p?
  12. 12.Solve: m/3 + 1 = 9. What is m?
  13. 13.Solve: 9p − 65 = 61. What is p?
  14. 14.Isha is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  15. 15.Solve: 3y − 5 = 7. What is y?
  16. 16.Solve: n/4 + 19 = 27. What is n?
  17. 17.Solve: 9p − 15 = 57. What is p?
  18. 18.Solve: 5y − 4 = 1. What is y?
  19. 19.Solve: 8(y + 6) = 152. What is y?
  20. 20.Vivaan thinks of a number, multiplies it by 2 and then adds 17. The result is 35. What is the number?
  21. 21.Sneha thinks of a number, multiplies it by 2 and then adds 16. The result is 32. What is the number?
  22. 22.Saanvi thinks of a number, multiplies it by 7 and then adds 8. The result is 106. What is the number?
  23. 23.Pooja’s mother is three times as old as Pooja. Their ages add up to 48 years. How old is Pooja?
  24. 24.Solve: 5m − 4 = 1. What is m?
  25. 25.Nisha is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  26. 26.Manav thinks of a number, multiplies it by 6 and then adds 21. The result is 75. What is the number?
  27. 27.Solve: 5n − 15 = 40. What is n?
  28. 28.Solve: 2(t + 4) = 12. What is t?
  29. 29.Saanvi is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  30. 30.Solve: 3(x + 2) = 24. What is x?
  31. 31.Solve: 3m + 16 = 37. What is m?
  32. 32.Aarav’s mother is four times as old as Aarav. Their ages add up to 30 years. How old is Aarav?
  33. 33.Solve: 8m − 7 = 1. What is m?
  34. 34.Solve: 3n − 18 = 27. What is n?
  35. 35.Rohan thinks of a number, multiplies it by 5 and then adds 27. The result is 37. What is the number?
  36. 36.Solve: n/2 + 2 = 8. What is n?
  37. 37.Nisha thinks of a number, multiplies it by 6 and then adds 4. The result is 64. What is the number?
  38. 38.Solve: 3y + 18 = 51. What is y?
  39. 39.Solve: 5n − 26 = 14. What is n?
  40. 40.Solve: 4(x + 1) = 20. What is x?

Answer key

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

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