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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 198 · 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.Solve: 8n − 3 = 53. What is n?
  2. 2.Solve: 3(y + 6) = 60. What is y?
  3. 3.Solve: 4x + 14 = 34. What is x?
  4. 4.Solve: x/7 + 6 = 16. What is x?
  5. 5.Solve: p/6 + 6 = 7. What is p?
  6. 6.Solve: 3m + 23 = 44. What is m?
  7. 7.Dev thinks of a number, multiplies it by 8 and then adds 4. The result is 20. What is the number?
  8. 8.Ananya is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  9. 9.Solve: 7(x + 2) = 91. What is x?
  10. 10.Solve: 8t + 25 = 33. What is t?
  11. 11.Solve: 4p + 25 = 65. What is p?
  12. 12.Solve: 7x − 1 = 6. What is x?
  13. 13.Solve: 3y − 6 = 33. What is y?
  14. 14.Zoya’s mother is twice as old as Zoya. Their ages add up to 39 years. How old is Zoya?
  15. 15.Solve: 8y − 22 = 34. What is y?
  16. 16.Solve: 6(p + 1) = 84. What is p?
  17. 17.Isha thinks of a number, multiplies it by 6 and then adds 14. The result is 38. What is the number?
  18. 18.Pooja is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  19. 19.Solve: m/7 + 17 = 18. What is m?
  20. 20.Solve: t/3 + 20 = 26. What is t?
  21. 21.Solve: 4m − 8 = 40. What is m?
  22. 22.Vivaan thinks of a number, multiplies it by 9 and then adds 20. The result is 119. What is the number?
  23. 23.Arjun thinks of a number, multiplies it by 9 and then adds 10. The result is 55. What is the number?
  24. 24.Solve: 2x − 7 = 5. What is x?
  25. 25.Solve: 4t − 16 = 8. What is t?
  26. 26.Solve: 6n − 3 = 9. What is n?
  27. 27.Ishaan is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  28. 28.Solve: n/8 + 18 = 21. What is n?
  29. 29.Solve: 6(m + 8) = 60. What is m?
  30. 30.Diya thinks of a number, multiplies it by 4 and then adds 12. The result is 20. What is the number?
  31. 31.Vivaan is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  32. 32.Kabir is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  33. 33.Solve: 5(y + 1) = 15. What is y?
  34. 34.Solve: 9m − 1 = 8. What is m?
  35. 35.Solve: 8t − 66 = 30. What is t?
  36. 36.Solve: 3x + 7 = 22. What is x?
  37. 37.Solve: 4x − 3 = 5. What is x?
  38. 38.Aarav’s mother is twice as old as Aarav. Their ages add up to 30 years. How old is Aarav?
  39. 39.Solve: 5p + 24 = 29. What is p?
  40. 40.Nisha’s mother is twice as old as Nisha. Their ages add up to 33 years. How old is Nisha?

Answer key

  1. 7
  2. 14
  3. 5
  4. 70
  5. 6
  6. 7
  7. 2
  8. 5
  9. 11
  10. 1
  11. 10
  12. 1
  13. 13
  14. 13
  15. 7
  16. 13
  17. 4
  18. 9
  19. 7
  20. 18
  21. 12
  22. 11
  23. 5
  24. 6
  25. 6
  26. 2
  27. 11
  28. 24
  29. 2
  30. 2
  31. 6
  32. 14
  33. 2
  34. 1
  35. 12
  36. 5
  37. 2
  38. 10
  39. 1
  40. 11

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