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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 193 · 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: m/8 + 8 = 10. What is m?
  2. 2.Solve: x/9 + 9 = 14. What is x?
  3. 3.Solve: 5(t + 1) = 65. What is t?
  4. 4.Solve: 9(n + 8) = 81. What is n?
  5. 5.Solve: m/9 + 14 = 18. What is m?
  6. 6.Zoya thinks of a number, multiplies it by 2 and then adds 23. The result is 47. What is the number?
  7. 7.Solve: 6(n + 2) = 96. What is n?
  8. 8.Diya is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  9. 9.Solve: 6t − 2 = 4. What is t?
  10. 10.Solve: 6x + 6 = 48. What is x?
  11. 11.Ishaan is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  12. 12.Rohan thinks of a number, multiplies it by 8 and then adds 25. The result is 129. What is the number?
  13. 13.Diya is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  14. 14.Solve: 9m + 29 = 65. What is m?
  15. 15.Nisha’s mother is three times as old as Nisha. Their ages add up to 36 years. How old is Nisha?
  16. 16.Solve: 7y − 35 = 21. What is y?
  17. 17.Solve: y/8 + 19 = 34. What is y?
  18. 18.Solve: t/9 + 9 = 13. What is t?
  19. 19.Solve: 4m − 5 = 7. What is m?
  20. 20.Solve: 9t + 2 = 128. What is t?
  21. 21.Solve: 8p − 9 = 71. What is p?
  22. 22.Solve: p/3 + 10 = 14. What is p?
  23. 23.Solve: 2n − 2 = 8. What is n?
  24. 24.Farhan thinks of a number, multiplies it by 8 and then adds 29. The result is 109. What is the number?
  25. 25.Solve: 6m − 7 = 71. What is m?
  26. 26.Solve: 4m + 30 = 82. What is m?
  27. 27.Ishaan is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  28. 28.Solve: 2x − 2 = 8. What is x?
  29. 29.Meera is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  30. 30.Solve: p/5 + 5 = 16. What is p?
  31. 31.Solve: 6x + 10 = 22. What is x?
  32. 32.Solve: 5p − 18 = 42. What is p?
  33. 33.Solve: n/8 + 18 = 33. What is n?
  34. 34.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 48 years. How old is Vivaan?
  35. 35.Solve: y/9 + 17 = 26. What is y?
  36. 36.Lakshmi is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  37. 37.Priya is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  38. 38.Sneha thinks of a number, multiplies it by 4 and then adds 13. The result is 25. What is the number?
  39. 39.Solve: 3(n + 3) = 45. What is n?
  40. 40.Arjun is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?

Answer key

  1. 16
  2. 45
  3. 12
  4. 1
  5. 36
  6. 12
  7. 14
  8. 11
  9. 1
  10. 7
  11. 4
  12. 13
  13. 5
  14. 4
  15. 9
  16. 8
  17. 120
  18. 36
  19. 3
  20. 14
  21. 10
  22. 12
  23. 5
  24. 10
  25. 13
  26. 13
  27. 11
  28. 5
  29. 11
  30. 55
  31. 2
  32. 12
  33. 120
  34. 12
  35. 81
  36. 5
  37. 5
  38. 3
  39. 12
  40. 10

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