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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 956 · 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: y/4 + 1 = 5. What is y?
  2. 2.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 45 years. How old is Gurpreet?
  3. 3.Solve: 9t − 4 = 5. What is t?
  4. 4.Nisha’s mother is twice as old as Nisha. Their ages add up to 36 years. How old is Nisha?
  5. 5.Joseph thinks of a number, multiplies it by 5 and then adds 2. The result is 72. What is the number?
  6. 6.Priya thinks of a number, multiplies it by 9 and then adds 8. The result is 143. What is the number?
  7. 7.Solve: n/6 + 5 = 12. What is n?
  8. 8.Kavya’s mother is four times as old as Kavya. Their ages add up to 50 years. How old is Kavya?
  9. 9.Solve: 3(p + 6) = 51. What is p?
  10. 10.Diya thinks of a number, multiplies it by 5 and then adds 1. The result is 21. What is the number?
  11. 11.Solve: 8n − 6 = 2. What is n?
  12. 12.Solve: 7x + 8 = 15. What is x?
  13. 13.Solve: 4x − 43 = 13. What is x?
  14. 14.Solve: 3t − 28 = 8. What is t?
  15. 15.Solve: 3(n + 1) = 9. What is n?
  16. 16.Ananya thinks of a number, multiplies it by 3 and then adds 24. The result is 42. What is the number?
  17. 17.Solve: 3(t + 8) = 30. What is t?
  18. 18.Kavya is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  19. 19.Karan is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  20. 20.Solve: 6(x + 2) = 48. What is x?
  21. 21.Solve: 3n + 23 = 56. What is n?
  22. 22.Solve: x/6 + 4 = 5. What is x?
  23. 23.Rohan’s mother is four times as old as Rohan. Their ages add up to 25 years. How old is Rohan?
  24. 24.Kavya thinks of a number, multiplies it by 4 and then adds 27. The result is 71. What is the number?
  25. 25.Pooja thinks of a number, multiplies it by 8 and then adds 19. The result is 59. What is the number?
  26. 26.Solve: 6y − 20 = 16. What is y?
  27. 27.Joseph is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  28. 28.Solve: 4(x + 3) = 48. What is x?
  29. 29.Meera thinks of a number, multiplies it by 8 and then adds 23. The result is 143. What is the number?
  30. 30.Solve: x/5 + 11 = 20. What is x?
  31. 31.Solve: 3x + 23 = 26. What is x?
  32. 32.Kavya is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  33. 33.Solve: 3y − 28 = 5. What is y?
  34. 34.Arjun’s mother is four times as old as Arjun. Their ages add up to 20 years. How old is Arjun?
  35. 35.Solve: 4y + 21 = 33. What is y?
  36. 36.Solve: 4y + 29 = 53. What is y?
  37. 37.Kabir thinks of a number, multiplies it by 2 and then adds 7. The result is 17. What is the number?
  38. 38.Isha thinks of a number, multiplies it by 9 and then adds 23. The result is 50. What is the number?
  39. 39.Solve: y/9 + 17 = 26. What is y?
  40. 40.Solve: 6(y + 6) = 54. What is y?

Answer key

  1. 16
  2. 9
  3. 1
  4. 12
  5. 14
  6. 15
  7. 42
  8. 10
  9. 11
  10. 4
  11. 1
  12. 1
  13. 14
  14. 12
  15. 2
  16. 6
  17. 2
  18. 4
  19. 11
  20. 6
  21. 11
  22. 6
  23. 5
  24. 11
  25. 5
  26. 6
  27. 14
  28. 9
  29. 15
  30. 45
  31. 1
  32. 9
  33. 11
  34. 4
  35. 3
  36. 6
  37. 5
  38. 3
  39. 81
  40. 3

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