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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 733 · 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: 5x − 11 = 44. What is x?
  2. 2.Solve: 2p + 23 = 53. What is p?
  3. 3.Solve: m/7 + 9 = 19. What is m?
  4. 4.Solve: 4n + 20 = 32. What is n?
  5. 5.Arjun’s mother is twice as old as Arjun. Their ages add up to 24 years. How old is Arjun?
  6. 6.Priya thinks of a number, multiplies it by 2 and then adds 28. The result is 38. What is the number?
  7. 7.Solve: 4x + 1 = 17. What is x?
  8. 8.Priya is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  9. 9.Solve: 2m + 21 = 45. What is m?
  10. 10.Nisha’s mother is four times as old as Nisha. Their ages add up to 75 years. How old is Nisha?
  11. 11.Nisha thinks of a number, multiplies it by 8 and then adds 4. The result is 20. What is the number?
  12. 12.Solve: 3(y + 6) = 48. What is y?
  13. 13.Solve: 5p − 25 = 5. What is p?
  14. 14.Solve: n/8 + 10 = 25. What is n?
  15. 15.Solve: 6p + 24 = 114. What is p?
  16. 16.Solve: x/4 + 4 = 6. What is x?
  17. 17.Gurpreet is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  18. 18.Zoya is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  19. 19.Solve: y/5 + 16 = 27. What is y?
  20. 20.Solve: 4(p + 9) = 60. What is p?
  21. 21.Solve: 9x + 10 = 55. What is x?
  22. 22.Rahul thinks of a number, multiplies it by 7 and then adds 26. The result is 33. What is the number?
  23. 23.Solve: y/4 + 3 = 6. What is y?
  24. 24.Solve: 7(m + 3) = 63. What is m?
  25. 25.Solve: m/4 + 3 = 14. What is m?
  26. 26.Aarav is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  27. 27.Solve: 8(x + 7) = 104. What is x?
  28. 28.Solve: 8n + 28 = 140. What is n?
  29. 29.Solve: 3(n + 3) = 51. What is n?
  30. 30.Solve: 5t − 2 = 23. What is t?
  31. 31.Solve: 2(m + 1) = 14. What is m?
  32. 32.Solve: 2(x + 5) = 20. What is x?
  33. 33.Solve: 4(x + 1) = 60. What is x?
  34. 34.Solve: 6n − 8 = 4. What is n?
  35. 35.Solve: 7x + 6 = 41. What is x?
  36. 36.Solve: 8n + 29 = 53. What is n?
  37. 37.Solve: 5(y + 2) = 20. What is y?
  38. 38.Solve: 6y − 21 = 15. What is y?
  39. 39.Sneha thinks of a number, multiplies it by 6 and then adds 23. The result is 101. What is the number?
  40. 40.Solve: 9(y + 6) = 180. What is y?

Answer key

  1. 11
  2. 15
  3. 70
  4. 3
  5. 8
  6. 5
  7. 4
  8. 5
  9. 12
  10. 15
  11. 2
  12. 10
  13. 6
  14. 120
  15. 15
  16. 8
  17. 11
  18. 12
  19. 55
  20. 6
  21. 5
  22. 1
  23. 12
  24. 6
  25. 44
  26. 5
  27. 6
  28. 14
  29. 14
  30. 5
  31. 6
  32. 5
  33. 14
  34. 2
  35. 5
  36. 3
  37. 2
  38. 6
  39. 13
  40. 14

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