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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 683 · 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.Nisha thinks of a number, multiplies it by 8 and then adds 10. The result is 66. What is the number?
  2. 2.Solve: 7(n + 8) = 91. What is n?
  3. 3.Solve: 8(p + 3) = 64. What is p?
  4. 4.Solve: p/3 + 5 = 8. What is p?
  5. 5.Solve: p/5 + 1 = 3. What is p?
  6. 6.Solve: n/8 + 20 = 25. What is n?
  7. 7.Priya’s mother is four times as old as Priya. Their ages add up to 35 years. How old is Priya?
  8. 8.Solve: 7(n + 2) = 91. What is n?
  9. 9.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 12 years. How old is Vivaan?
  10. 10.Tara’s mother is twice as old as Tara. Their ages add up to 42 years. How old is Tara?
  11. 11.Solve: 4x − 9 = 43. What is x?
  12. 12.Dev thinks of a number, multiplies it by 5 and then adds 14. The result is 19. What is the number?
  13. 13.Meera thinks of a number, multiplies it by 3 and then adds 3. The result is 9. What is the number?
  14. 14.Solve: 8n − 16 = 16. What is n?
  15. 15.Solve: p/3 + 19 = 26. What is p?
  16. 16.Solve: 2p + 7 = 29. What is p?
  17. 17.Solve: n/7 + 6 = 7. What is n?
  18. 18.Sneha is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  19. 19.Solve: 6y + 13 = 37. What is y?
  20. 20.Solve: m/5 + 12 = 23. What is m?
  21. 21.Manav’s mother is twice as old as Manav. Their ages add up to 12 years. How old is Manav?
  22. 22.Gurpreet thinks of a number, multiplies it by 5 and then adds 1. The result is 16. What is the number?
  23. 23.Solve: 9y − 5 = 31. What is y?
  24. 24.Karan is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  25. 25.Solve: 6x + 17 = 59. What is x?
  26. 26.Solve: 9m + 23 = 131. What is m?
  27. 27.Solve: 5(p + 3) = 55. What is p?
  28. 28.Solve: 3p + 9 = 51. What is p?
  29. 29.Kavya is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  30. 30.Solve: 9y + 9 = 72. What is y?
  31. 31.Priya is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  32. 32.Solve: m/3 + 12 = 18. What is m?
  33. 33.Kabir thinks of a number, multiplies it by 4 and then adds 6. The result is 50. What is the number?
  34. 34.Solve: 2m + 4 = 24. What is m?
  35. 35.Saanvi is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  36. 36.Diya thinks of a number, multiplies it by 7 and then adds 5. The result is 26. What is the number?
  37. 37.Aarav thinks of a number, multiplies it by 4 and then adds 12. The result is 60. What is the number?
  38. 38.Lakshmi thinks of a number, multiplies it by 9 and then adds 10. The result is 46. What is the number?
  39. 39.Solve: n/9 + 10 = 11. What is n?
  40. 40.Zoya is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?

Answer key

  1. 7
  2. 5
  3. 5
  4. 9
  5. 10
  6. 40
  7. 7
  8. 11
  9. 4
  10. 14
  11. 13
  12. 1
  13. 2
  14. 4
  15. 21
  16. 11
  17. 7
  18. 6
  19. 4
  20. 55
  21. 4
  22. 3
  23. 4
  24. 11
  25. 7
  26. 12
  27. 8
  28. 14
  29. 4
  30. 7
  31. 11
  32. 18
  33. 11
  34. 10
  35. 8
  36. 3
  37. 12
  38. 4
  39. 9
  40. 9

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