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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 66 · 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: 3t + 4 = 22. What is t?
  2. 2.Lakshmi thinks of a number, multiplies it by 4 and then adds 29. The result is 81. What is the number?
  3. 3.Solve: 2x − 1 = 23. What is x?
  4. 4.Solve: y/4 + 16 = 28. What is y?
  5. 5.Solve: 7x − 38 = 11. What is x?
  6. 6.Solve: m/8 + 12 = 25. What is m?
  7. 7.Solve: 7n − 18 = 24. What is n?
  8. 8.Dev is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  9. 9.Vivaan is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  10. 10.Solve: p/9 + 7 = 16. What is p?
  11. 11.Ananya’s mother is twice as old as Ananya. Their ages add up to 30 years. How old is Ananya?
  12. 12.Priya is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  13. 13.Solve: 6x − 52 = 20. What is x?
  14. 14.Solve: 2y + 1 = 9. What is y?
  15. 15.Solve: 2(y + 5) = 26. What is y?
  16. 16.Sneha’s mother is four times as old as Sneha. Their ages add up to 20 years. How old is Sneha?
  17. 17.Solve: 2(x + 1) = 24. What is x?
  18. 18.Solve: 2n + 21 = 43. What is n?
  19. 19.Joseph’s mother is three times as old as Joseph. Their ages add up to 24 years. How old is Joseph?
  20. 20.Solve: 5y + 30 = 50. What is y?
  21. 21.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 65 years. How old is Ishaan?
  22. 22.Solve: 8p − 84 = 28. What is p?
  23. 23.Solve: t/9 + 4 = 13. What is t?
  24. 24.Solve: 3n + 10 = 16. What is n?
  25. 25.Solve: 4x − 8 = 16. What is x?
  26. 26.Solve: 8x − 19 = 21. What is x?
  27. 27.Solve: 9(x + 8) = 99. What is x?
  28. 28.Sneha’s mother is three times as old as Sneha. Their ages add up to 56 years. How old is Sneha?
  29. 29.Solve: n/4 + 8 = 16. What is n?
  30. 30.Solve: 9x − 20 = 16. What is x?
  31. 31.Aditya thinks of a number, multiplies it by 2 and then adds 10. The result is 20. What is the number?
  32. 32.Aarav thinks of a number, multiplies it by 3 and then adds 22. The result is 43. What is the number?
  33. 33.Solve: 7(p + 9) = 98. What is p?
  34. 34.Solve: 4t + 3 = 7. What is t?
  35. 35.Solve: 3p − 16 = 17. What is p?
  36. 36.Solve: 6x + 29 = 101. What is x?
  37. 37.Solve: 5(p + 3) = 80. What is p?
  38. 38.Nisha is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  39. 39.Solve: 2p − 2 = 6. What is p?
  40. 40.Kavya’s mother is three times as old as Kavya. Their ages add up to 20 years. How old is Kavya?

Answer key

  1. 6
  2. 13
  3. 12
  4. 48
  5. 7
  6. 104
  7. 6
  8. 6
  9. 12
  10. 81
  11. 10
  12. 7
  13. 12
  14. 4
  15. 8
  16. 4
  17. 11
  18. 11
  19. 6
  20. 4
  21. 13
  22. 14
  23. 81
  24. 2
  25. 6
  26. 5
  27. 3
  28. 14
  29. 32
  30. 4
  31. 5
  32. 7
  33. 5
  34. 1
  35. 11
  36. 12
  37. 13
  38. 14
  39. 4
  40. 5

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