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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 473 · 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: 9(y + 1) = 99. What is y?
  2. 2.Solve: x/6 + 13 = 19. What is x?
  3. 3.Solve: 2(x + 7) = 16. What is x?
  4. 4.Lakshmi is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  5. 5.Solve: 6(t + 1) = 12. What is t?
  6. 6.Ananya is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  7. 7.Solve: 5t − 10 = 25. What is t?
  8. 8.Rohan thinks of a number, multiplies it by 9 and then adds 7. The result is 16. What is the number?
  9. 9.Solve: 6x − 29 = 1. What is x?
  10. 10.Solve: 2m + 6 = 26. What is m?
  11. 11.Rahul thinks of a number, multiplies it by 2 and then adds 9. The result is 21. What is the number?
  12. 12.Ishaan is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  13. 13.Solve: 9y − 49 = 77. What is y?
  14. 14.Solve: 2(p + 1) = 26. What is p?
  15. 15.Solve: x/7 + 10 = 25. What is x?
  16. 16.Diya is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  17. 17.Solve: n/6 + 16 = 31. What is n?
  18. 18.Tara is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  19. 19.Solve: 2p + 24 = 32. What is p?
  20. 20.Solve: 5p + 19 = 39. What is p?
  21. 21.Solve: 8p + 14 = 54. What is p?
  22. 22.Solve: 7n − 1 = 13. What is n?
  23. 23.Solve: 8x − 4 = 76. What is x?
  24. 24.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 45 years. How old is Vivaan?
  25. 25.Lakshmi thinks of a number, multiplies it by 8 and then adds 6. The result is 38. What is the number?
  26. 26.Kavya thinks of a number, multiplies it by 9 and then adds 7. The result is 70. What is the number?
  27. 27.Solve: 4n − 2 = 6. What is n?
  28. 28.Solve: 7p − 14 = 56. What is p?
  29. 29.Solve: 2p − 18 = 6. What is p?
  30. 30.Solve: 5y − 24 = 36. What is y?
  31. 31.Solve: 2n − 1 = 7. What is n?
  32. 32.Solve: m/2 + 19 = 24. What is m?
  33. 33.Aarav is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  34. 34.Solve: t/9 + 5 = 19. What is t?
  35. 35.Nisha is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  36. 36.Rohan is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  37. 37.Solve: 7n − 21 = 35. What is n?
  38. 38.Meera thinks of a number, multiplies it by 6 and then adds 4. The result is 64. What is the number?
  39. 39.Solve: 3y + 20 = 62. What is y?
  40. 40.Solve: x/2 + 16 = 26. What is x?

Answer key

  1. 10
  2. 36
  3. 1
  4. 9
  5. 1
  6. 12
  7. 7
  8. 1
  9. 5
  10. 10
  11. 6
  12. 14
  13. 14
  14. 12
  15. 105
  16. 6
  17. 90
  18. 12
  19. 4
  20. 4
  21. 5
  22. 2
  23. 10
  24. 9
  25. 4
  26. 7
  27. 2
  28. 10
  29. 12
  30. 12
  31. 4
  32. 10
  33. 9
  34. 126
  35. 12
  36. 7
  37. 8
  38. 10
  39. 14
  40. 20

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