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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 696 · 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.Kabir’s mother is four times as old as Kabir. Their ages add up to 30 years. How old is Kabir?
  2. 2.Saanvi thinks of a number, multiplies it by 4 and then adds 20. The result is 56. What is the number?
  3. 3.Isha thinks of a number, multiplies it by 7 and then adds 10. The result is 73. What is the number?
  4. 4.Solve: 8m + 8 = 96. What is m?
  5. 5.Priya thinks of a number, multiplies it by 7 and then adds 15. The result is 22. What is the number?
  6. 6.Solve: 2x − 9 = 17. What is x?
  7. 7.Solve: 8(n + 6) = 64. What is n?
  8. 8.Lakshmi thinks of a number, multiplies it by 8 and then adds 15. The result is 71. What is the number?
  9. 9.Solve: 3p + 15 = 57. What is p?
  10. 10.Lakshmi is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  11. 11.Saanvi thinks of a number, multiplies it by 6 and then adds 1. The result is 91. What is the number?
  12. 12.Solve: m/3 + 14 = 17. What is m?
  13. 13.Solve: m/3 + 9 = 22. What is m?
  14. 14.Kavya’s mother is twice as old as Kavya. Their ages add up to 18 years. How old is Kavya?
  15. 15.Solve: 8p + 30 = 62. What is p?
  16. 16.Solve: x/5 + 4 = 9. What is x?
  17. 17.Solve: 8(p + 1) = 56. What is p?
  18. 18.Priya thinks of a number, multiplies it by 2 and then adds 26. The result is 46. What is the number?
  19. 19.Isha thinks of a number, multiplies it by 7 and then adds 23. The result is 128. What is the number?
  20. 20.Solve: 3(n + 8) = 57. What is n?
  21. 21.Manav’s mother is four times as old as Manav. Their ages add up to 45 years. How old is Manav?
  22. 22.Solve: 9(x + 4) = 45. What is x?
  23. 23.Solve: 8y − 100 = 12. What is y?
  24. 24.Solve: 7p − 9 = 68. What is p?
  25. 25.Rahul’s mother is three times as old as Rahul. Their ages add up to 28 years. How old is Rahul?
  26. 26.Kabir is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  27. 27.Solve: x/5 + 8 = 10. What is x?
  28. 28.Solve: x/3 + 1 = 6. What is x?
  29. 29.Solve: 2t − 14 = 8. What is t?
  30. 30.Solve: 8x − 9 = 39. What is x?
  31. 31.Solve: m/6 + 4 = 13. What is m?
  32. 32.Sneha thinks of a number, multiplies it by 8 and then adds 3. The result is 115. What is the number?
  33. 33.Karan thinks of a number, multiplies it by 8 and then adds 14. The result is 102. What is the number?
  34. 34.Priya thinks of a number, multiplies it by 2 and then adds 9. The result is 35. What is the number?
  35. 35.Solve: 4m − 20 = 4. What is m?
  36. 36.Solve: n/4 + 18 = 28. What is n?
  37. 37.Arjun thinks of a number, multiplies it by 6 and then adds 16. The result is 40. What is the number?
  38. 38.Solve: 2(m + 4) = 16. What is m?
  39. 39.Isha is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  40. 40.Solve: 2n + 7 = 11. What is n?

Answer key

  1. 6
  2. 9
  3. 9
  4. 11
  5. 1
  6. 13
  7. 2
  8. 7
  9. 14
  10. 9
  11. 15
  12. 9
  13. 39
  14. 6
  15. 4
  16. 25
  17. 6
  18. 10
  19. 15
  20. 11
  21. 9
  22. 1
  23. 14
  24. 11
  25. 7
  26. 10
  27. 10
  28. 15
  29. 11
  30. 6
  31. 54
  32. 14
  33. 11
  34. 13
  35. 6
  36. 40
  37. 4
  38. 4
  39. 4
  40. 2

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