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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 372 · 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: 2x + 12 = 24. What is x?
  2. 2.Solve: y/3 + 15 = 17. What is y?
  3. 3.Solve: 2n + 21 = 39. What is n?
  4. 4.Isha thinks of a number, multiplies it by 8 and then adds 19. The result is 27. What is the number?
  5. 5.Ananya thinks of a number, multiplies it by 7 and then adds 23. The result is 114. What is the number?
  6. 6.Rahul thinks of a number, multiplies it by 4 and then adds 14. The result is 70. What is the number?
  7. 7.Solve: 2n + 5 = 19. What is n?
  8. 8.Solve: 2(m + 3) = 14. What is m?
  9. 9.Solve: 4x + 9 = 41. What is x?
  10. 10.Dev is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  11. 11.Solve: 3p − 1 = 2. What is p?
  12. 12.Solve: 3m + 22 = 34. What is m?
  13. 13.Ishaan thinks of a number, multiplies it by 6 and then adds 30. The result is 96. What is the number?
  14. 14.Rahul thinks of a number, multiplies it by 9 and then adds 23. The result is 32. What is the number?
  15. 15.Solve: 8t − 66 = 22. What is t?
  16. 16.Joseph thinks of a number, multiplies it by 5 and then adds 27. The result is 82. What is the number?
  17. 17.Solve: 9y − 24 = 111. What is y?
  18. 18.Solve: 5p + 10 = 50. What is p?
  19. 19.Riya’s mother is three times as old as Riya. Their ages add up to 44 years. How old is Riya?
  20. 20.Kavya’s mother is twice as old as Kavya. Their ages add up to 45 years. How old is Kavya?
  21. 21.Vivaan thinks of a number, multiplies it by 8 and then adds 21. The result is 101. What is the number?
  22. 22.Solve: 3(x + 9) = 63. What is x?
  23. 23.Solve: 3y + 23 = 38. What is y?
  24. 24.Solve: 7p + 20 = 27. What is p?
  25. 25.Solve: 4t − 56 = 4. What is t?
  26. 26.Solve: n/6 + 6 = 13. What is n?
  27. 27.Saanvi thinks of a number, multiplies it by 4 and then adds 11. The result is 43. What is the number?
  28. 28.Solve: 2(x + 5) = 32. What is x?
  29. 29.Solve: 3t + 26 = 41. What is t?
  30. 30.Solve: 2x − 6 = 4. What is x?
  31. 31.Solve: 4(p + 6) = 52. What is p?
  32. 32.Solve: 4x + 27 = 59. What is x?
  33. 33.Kavya thinks of a number, multiplies it by 8 and then adds 3. The result is 27. What is the number?
  34. 34.Karan is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  35. 35.Solve: 8y − 104 = 8. What is y?
  36. 36.Solve: 4t − 7 = 1. What is t?
  37. 37.Solve: m/9 + 11 = 26. What is m?
  38. 38.Solve: 5y + 10 = 35. What is y?
  39. 39.Farhan thinks of a number, multiplies it by 4 and then adds 12. The result is 28. What is the number?
  40. 40.Solve: 9x − 15 = 30. What is x?

Answer key

  1. 6
  2. 6
  3. 9
  4. 1
  5. 13
  6. 14
  7. 7
  8. 4
  9. 8
  10. 8
  11. 1
  12. 4
  13. 11
  14. 1
  15. 11
  16. 11
  17. 15
  18. 8
  19. 11
  20. 15
  21. 10
  22. 12
  23. 5
  24. 1
  25. 15
  26. 42
  27. 8
  28. 11
  29. 5
  30. 5
  31. 7
  32. 8
  33. 3
  34. 12
  35. 14
  36. 2
  37. 135
  38. 5
  39. 4
  40. 5

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