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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 713 · 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.Aarav is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  2. 2.Solve: 3x − 2 = 1. What is x?
  3. 3.Solve: 7p − 5 = 100. What is p?
  4. 4.Tara’s mother is twice as old as Tara. Their ages add up to 42 years. How old is Tara?
  5. 5.Diya is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  6. 6.Solve: 5m − 9 = 56. What is m?
  7. 7.Solve: 3m + 14 = 38. What is m?
  8. 8.Solve: 7x + 22 = 29. What is x?
  9. 9.Solve: p/5 + 15 = 18. What is p?
  10. 10.Solve: 6n − 32 = 10. What is n?
  11. 11.Nisha thinks of a number, multiplies it by 5 and then adds 18. The result is 93. What is the number?
  12. 12.Solve: m/4 + 9 = 24. What is m?
  13. 13.Diya thinks of a number, multiplies it by 3 and then adds 20. The result is 44. What is the number?
  14. 14.Riya thinks of a number, multiplies it by 3 and then adds 6. The result is 39. What is the number?
  15. 15.Solve: t/6 + 15 = 17. What is t?
  16. 16.Solve: n/4 + 16 = 30. What is n?
  17. 17.Solve: 2p + 5 = 35. What is p?
  18. 18.Farhan is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  19. 19.Solve: t/3 + 11 = 13. What is t?
  20. 20.Ananya is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  21. 21.Solve: 8y − 11 = 101. What is y?
  22. 22.Solve: 2m + 17 = 35. What is m?
  23. 23.Solve: 2m − 17 = 13. What is m?
  24. 24.Solve: p/8 + 4 = 15. What is p?
  25. 25.Vivaan thinks of a number, multiplies it by 4 and then adds 19. The result is 35. What is the number?
  26. 26.Solve: 4n − 15 = 37. What is n?
  27. 27.Solve: 3t − 1 = 2. What is t?
  28. 28.Solve: 4m + 14 = 58. What is m?
  29. 29.Rohan thinks of a number, multiplies it by 6 and then adds 25. The result is 109. What is the number?
  30. 30.Solve: 7m + 26 = 110. What is m?
  31. 31.Solve: x/8 + 14 = 26. What is x?
  32. 32.Solve: y/9 + 3 = 8. What is y?
  33. 33.Solve: x/3 + 1 = 3. What is x?
  34. 34.Solve: 9m − 16 = 29. What is m?
  35. 35.Solve: 4p + 25 = 61. What is p?
  36. 36.Dev thinks of a number, multiplies it by 7 and then adds 8. The result is 43. What is the number?
  37. 37.Sneha’s mother is twice as old as Sneha. Their ages add up to 21 years. How old is Sneha?
  38. 38.Solve: m/6 + 3 = 11. What is m?
  39. 39.Manav is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  40. 40.Saanvi thinks of a number, multiplies it by 9 and then adds 7. The result is 115. What is the number?

Answer key

  1. 11
  2. 1
  3. 15
  4. 14
  5. 4
  6. 13
  7. 8
  8. 1
  9. 15
  10. 7
  11. 15
  12. 60
  13. 8
  14. 11
  15. 12
  16. 56
  17. 15
  18. 13
  19. 6
  20. 5
  21. 14
  22. 9
  23. 15
  24. 88
  25. 4
  26. 13
  27. 1
  28. 11
  29. 14
  30. 12
  31. 96
  32. 45
  33. 6
  34. 5
  35. 9
  36. 5
  37. 7
  38. 48
  39. 9
  40. 12

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