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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 906 · 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: 2x + 27 = 33. What is x?
  2. 2.Solve: 3n + 2 = 35. What is n?
  3. 3.Riya thinks of a number, multiplies it by 2 and then adds 13. The result is 37. What is the number?
  4. 4.Sneha thinks of a number, multiplies it by 3 and then adds 12. The result is 42. What is the number?
  5. 5.Sneha thinks of a number, multiplies it by 3 and then adds 23. The result is 62. What is the number?
  6. 6.Solve: 7(n + 8) = 126. What is n?
  7. 7.Solve: 2y + 5 = 31. What is y?
  8. 8.Sneha thinks of a number, multiplies it by 8 and then adds 24. The result is 88. What is the number?
  9. 9.Meera’s mother is twice as old as Meera. Their ages add up to 45 years. How old is Meera?
  10. 10.Rohan thinks of a number, multiplies it by 4 and then adds 14. The result is 42. What is the number?
  11. 11.Solve: x/5 + 9 = 12. What is x?
  12. 12.Solve: 4t − 25 = 19. What is t?
  13. 13.Solve: y/2 + 17 = 26. What is y?
  14. 14.Solve: 7x + 26 = 117. What is x?
  15. 15.Solve: 3(x + 9) = 39. What is x?
  16. 16.Isha thinks of a number, multiplies it by 7 and then adds 4. The result is 11. What is the number?
  17. 17.Ananya thinks of a number, multiplies it by 4 and then adds 6. The result is 34. What is the number?
  18. 18.Solve: 4(m + 3) = 28. What is m?
  19. 19.Solve: n/9 + 12 = 16. What is n?
  20. 20.Solve: 4(p + 7) = 48. What is p?
  21. 21.Meera is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  22. 22.Diya thinks of a number, multiplies it by 3 and then adds 25. The result is 46. What is the number?
  23. 23.Lakshmi is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  24. 24.Manav’s mother is twice as old as Manav. Their ages add up to 24 years. How old is Manav?
  25. 25.Diya’s mother is twice as old as Diya. Their ages add up to 30 years. How old is Diya?
  26. 26.Solve: 5m + 19 = 29. What is m?
  27. 27.Solve: 8(n + 2) = 88. What is n?
  28. 28.Manav’s mother is twice as old as Manav. Their ages add up to 12 years. How old is Manav?
  29. 29.Solve: 5(m + 6) = 65. What is m?
  30. 30.Solve: 5t + 8 = 58. What is t?
  31. 31.Solve: 4y − 33 = 7. What is y?
  32. 32.Meera’s mother is twice as old as Meera. Their ages add up to 33 years. How old is Meera?
  33. 33.Solve: 8y + 13 = 117. What is y?
  34. 34.Nisha is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  35. 35.Lakshmi thinks of a number, multiplies it by 3 and then adds 3. The result is 42. What is the number?
  36. 36.Solve: 2x − 16 = 12. What is x?
  37. 37.Solve: 7(y + 3) = 77. What is y?
  38. 38.Solve: y/6 + 6 = 20. What is y?
  39. 39.Manav thinks of a number, multiplies it by 8 and then adds 7. The result is 119. What is the number?
  40. 40.Aditya is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?

Answer key

  1. 3
  2. 11
  3. 12
  4. 10
  5. 13
  6. 10
  7. 13
  8. 8
  9. 15
  10. 7
  11. 15
  12. 11
  13. 18
  14. 13
  15. 4
  16. 1
  17. 7
  18. 4
  19. 36
  20. 5
  21. 4
  22. 7
  23. 9
  24. 8
  25. 10
  26. 2
  27. 9
  28. 4
  29. 7
  30. 10
  31. 10
  32. 11
  33. 13
  34. 12
  35. 13
  36. 14
  37. 8
  38. 84
  39. 14
  40. 14

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