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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 786 · 40 sums
TalentJR

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 − 4 = 1. What is m?
  2. 2.Lakshmi is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  3. 3.Kavya thinks of a number, multiplies it by 6 and then adds 9. The result is 39. What is the number?
  4. 4.Gurpreet thinks of a number, multiplies it by 8 and then adds 24. The result is 112. What is the number?
  5. 5.Solve: 5(n + 3) = 20. What is n?
  6. 6.Solve: t/8 + 17 = 25. What is t?
  7. 7.Aditya’s mother is four times as old as Aditya. Their ages add up to 25 years. How old is Aditya?
  8. 8.Solve: 8(n + 4) = 88. What is n?
  9. 9.Solve: 3(p + 8) = 54. What is p?
  10. 10.Ananya thinks of a number, multiplies it by 8 and then adds 25. The result is 73. What is the number?
  11. 11.Saanvi thinks of a number, multiplies it by 2 and then adds 24. The result is 26. What is the number?
  12. 12.Vivaan thinks of a number, multiplies it by 6 and then adds 4. The result is 70. What is the number?
  13. 13.Solve: p/6 + 8 = 10. What is p?
  14. 14.Solve: 3(n + 4) = 27. What is n?
  15. 15.Zoya thinks of a number, multiplies it by 8 and then adds 20. The result is 116. What is the number?
  16. 16.Arjun is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  17. 17.Solve: 4t − 22 = 6. What is t?
  18. 18.Solve: 5y − 6 = 54. What is y?
  19. 19.Solve: 8(n + 5) = 56. What is n?
  20. 20.Solve: 7p + 14 = 42. What is p?
  21. 21.Solve: 2(m + 7) = 38. What is m?
  22. 22.Solve: 3(n + 3) = 27. What is n?
  23. 23.Gurpreet thinks of a number, multiplies it by 6 and then adds 28. The result is 70. What is the number?
  24. 24.Aarav thinks of a number, multiplies it by 4 and then adds 4. The result is 16. What is the number?
  25. 25.Tara thinks of a number, multiplies it by 6 and then adds 19. The result is 61. What is the number?
  26. 26.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 50 years. How old is Ishaan?
  27. 27.Gurpreet thinks of a number, multiplies it by 6 and then adds 11. The result is 17. What is the number?
  28. 28.Solve: 9t + 21 = 147. What is t?
  29. 29.Solve: 6y − 3 = 33. What is y?
  30. 30.Solve: x/3 + 17 = 29. What is x?
  31. 31.Solve: x/3 + 16 = 21. What is x?
  32. 32.Solve: 4x − 54 = 2. What is x?
  33. 33.Riya thinks of a number, multiplies it by 9 and then adds 7. The result is 106. What is the number?
  34. 34.Tara is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  35. 35.Solve: 2p − 1 = 3. What is p?
  36. 36.Solve: 6(x + 7) = 114. What is x?
  37. 37.Solve: 2n + 27 = 57. What is n?
  38. 38.Solve: 6y + 14 = 38. What is y?
  39. 39.Solve: 6t − 19 = 5. What is t?
  40. 40.Solve: 2m + 17 = 43. What is m?

Answer key

  1. 1
  2. 5
  3. 5
  4. 11
  5. 1
  6. 64
  7. 5
  8. 7
  9. 10
  10. 6
  11. 1
  12. 11
  13. 12
  14. 5
  15. 12
  16. 13
  17. 7
  18. 12
  19. 2
  20. 4
  21. 12
  22. 6
  23. 7
  24. 3
  25. 7
  26. 10
  27. 1
  28. 14
  29. 6
  30. 36
  31. 15
  32. 14
  33. 11
  34. 4
  35. 2
  36. 12
  37. 15
  38. 4
  39. 4
  40. 13

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