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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 745 · 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: 2(t + 1) = 8. What is t?
  2. 2.Rahul thinks of a number, multiplies it by 3 and then adds 3. The result is 36. What is the number?
  3. 3.Diya is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  4. 4.Solve: 5p − 3 = 7. What is p?
  5. 5.Solve: 2y + 23 = 37. What is y?
  6. 6.Solve: 7n + 5 = 89. What is n?
  7. 7.Ishaan is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  8. 8.Solve: 4m + 11 = 59. What is m?
  9. 9.Solve: 2(n + 8) = 46. What is n?
  10. 10.Solve: 4t − 37 = 7. What is t?
  11. 11.Solve: 3n − 9 = 33. What is n?
  12. 12.Solve: 2x + 22 = 52. What is x?
  13. 13.Pooja thinks of a number, multiplies it by 9 and then adds 27. The result is 108. What is the number?
  14. 14.Lakshmi thinks of a number, multiplies it by 4 and then adds 30. The result is 78. What is the number?
  15. 15.Rohan thinks of a number, multiplies it by 9 and then adds 12. The result is 84. What is the number?
  16. 16.Isha thinks of a number, multiplies it by 4 and then adds 22. The result is 54. What is the number?
  17. 17.Solve: x/8 + 20 = 22. What is x?
  18. 18.Solve: 2(n + 4) = 36. What is n?
  19. 19.Karan thinks of a number, multiplies it by 7 and then adds 9. The result is 107. What is the number?
  20. 20.Zoya is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  21. 21.Solve: 7m + 29 = 120. What is m?
  22. 22.Zoya’s mother is three times as old as Zoya. Their ages add up to 48 years. How old is Zoya?
  23. 23.Solve: n/9 + 13 = 16. What is n?
  24. 24.Solve: 2m + 3 = 33. What is m?
  25. 25.Solve: 5(t + 6) = 50. What is t?
  26. 26.Kavya is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  27. 27.Solve: 8p + 23 = 55. What is p?
  28. 28.Ishaan thinks of a number, multiplies it by 5 and then adds 26. The result is 86. What is the number?
  29. 29.Solve: 9(n + 4) = 90. What is n?
  30. 30.Arjun is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  31. 31.Solve: t/7 + 2 = 17. What is t?
  32. 32.Diya’s mother is three times as old as Diya. Their ages add up to 24 years. How old is Diya?
  33. 33.Karan is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  34. 34.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 16 years. How old is Gurpreet?
  35. 35.Solve: 2m + 17 = 21. What is m?
  36. 36.Isha’s mother is twice as old as Isha. Their ages add up to 18 years. How old is Isha?
  37. 37.Solve: 7n + 17 = 59. What is n?
  38. 38.Solve: 9t − 22 = 50. What is t?
  39. 39.Lakshmi thinks of a number, multiplies it by 5 and then adds 28. The result is 33. What is the number?
  40. 40.Zoya thinks of a number, multiplies it by 7 and then adds 13. The result is 55. What is the number?

Answer key

  1. 3
  2. 11
  3. 12
  4. 2
  5. 7
  6. 12
  7. 9
  8. 12
  9. 15
  10. 11
  11. 14
  12. 15
  13. 9
  14. 12
  15. 8
  16. 8
  17. 16
  18. 14
  19. 14
  20. 6
  21. 13
  22. 12
  23. 27
  24. 15
  25. 4
  26. 9
  27. 4
  28. 12
  29. 6
  30. 13
  31. 105
  32. 6
  33. 9
  34. 4
  35. 2
  36. 6
  37. 6
  38. 8
  39. 1
  40. 6

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