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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 966 · 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: 3(m + 4) = 36. What is m?
  2. 2.Ananya thinks of a number, multiplies it by 6 and then adds 23. The result is 53. What is the number?
  3. 3.Solve: 8y + 5 = 125. What is y?
  4. 4.Solve: 8n − 11 = 13. What is n?
  5. 5.Solve: 8p + 13 = 45. What is p?
  6. 6.Solve: 8y + 3 = 123. What is y?
  7. 7.Solve: 6p − 35 = 1. What is p?
  8. 8.Arjun thinks of a number, multiplies it by 9 and then adds 11. The result is 83. What is the number?
  9. 9.Solve: 9(t + 2) = 90. What is t?
  10. 10.Solve: 6(y + 5) = 48. What is y?
  11. 11.Solve: 4x − 16 = 12. What is x?
  12. 12.Solve: 8x + 8 = 64. What is x?
  13. 13.Solve: x/3 + 18 = 30. What is x?
  14. 14.Solve: 3x + 2 = 20. What is x?
  15. 15.Karan’s mother is three times as old as Karan. Their ages add up to 56 years. How old is Karan?
  16. 16.Solve: 7(y + 4) = 119. What is y?
  17. 17.Solve: n/8 + 13 = 22. What is n?
  18. 18.Solve: 2p − 11 = 17. What is p?
  19. 19.Solve: 5(m + 8) = 115. What is m?
  20. 20.Aarav thinks of a number, multiplies it by 2 and then adds 11. The result is 17. What is the number?
  21. 21.Solve: p/5 + 13 = 26. What is p?
  22. 22.Solve: 3y + 13 = 31. What is y?
  23. 23.Solve: 4(n + 9) = 84. What is n?
  24. 24.Vivaan is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  25. 25.Sneha thinks of a number, multiplies it by 6 and then adds 2. The result is 62. What is the number?
  26. 26.Solve: 2(p + 3) = 36. What is p?
  27. 27.Solve: 9(t + 8) = 90. What is t?
  28. 28.Solve: 2n − 8 = 6. What is n?
  29. 29.Arjun’s mother is twice as old as Arjun. Their ages add up to 30 years. How old is Arjun?
  30. 30.Solve: 2t + 10 = 22. What is t?
  31. 31.Solve: 7y + 25 = 123. What is y?
  32. 32.Saanvi thinks of a number, multiplies it by 2 and then adds 3. The result is 15. What is the number?
  33. 33.Solve: 9(n + 7) = 99. What is n?
  34. 34.Solve: y/6 + 18 = 23. What is y?
  35. 35.Diya’s mother is three times as old as Diya. Their ages add up to 60 years. How old is Diya?
  36. 36.Solve: y/9 + 20 = 29. What is y?
  37. 37.Solve: 5y − 14 = 1. What is y?
  38. 38.Solve: 9(y + 5) = 117. What is y?
  39. 39.Rohan is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  40. 40.Solve: 2n + 22 = 38. What is n?

Answer key

  1. 8
  2. 5
  3. 15
  4. 3
  5. 4
  6. 15
  7. 6
  8. 8
  9. 8
  10. 3
  11. 7
  12. 7
  13. 36
  14. 6
  15. 14
  16. 13
  17. 72
  18. 14
  19. 15
  20. 3
  21. 65
  22. 6
  23. 12
  24. 11
  25. 10
  26. 15
  27. 2
  28. 7
  29. 10
  30. 6
  31. 14
  32. 6
  33. 4
  34. 30
  35. 15
  36. 81
  37. 3
  38. 8
  39. 7
  40. 8

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