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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 361 · 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: 2(y + 9) = 32. What is y?
  2. 2.Solve: 6m + 25 = 79. What is m?
  3. 3.Solve: n/2 + 17 = 20. What is n?
  4. 4.Solve: 6t − 83 = 7. What is t?
  5. 5.Solve: x/9 + 16 = 21. What is x?
  6. 6.Solve: 3x − 2 = 1. What is x?
  7. 7.Solve: 7m + 10 = 108. What is m?
  8. 8.Karan thinks of a number, multiplies it by 8 and then adds 11. The result is 91. What is the number?
  9. 9.Arjun’s mother is twice as old as Arjun. Their ages add up to 42 years. How old is Arjun?
  10. 10.Solve: 6x + 22 = 106. What is x?
  11. 11.Meera thinks of a number, multiplies it by 3 and then adds 21. The result is 45. What is the number?
  12. 12.Solve: 6m − 16 = 50. What is m?
  13. 13.Solve: m/8 + 4 = 9. What is m?
  14. 14.Joseph thinks of a number, multiplies it by 4 and then adds 12. The result is 24. What is the number?
  15. 15.Ishaan thinks of a number, multiplies it by 5 and then adds 9. The result is 34. What is the number?
  16. 16.Solve: 2y − 8 = 10. What is y?
  17. 17.Solve: 5y + 22 = 47. What is y?
  18. 18.Manav thinks of a number, multiplies it by 6 and then adds 7. The result is 43. What is the number?
  19. 19.Solve: m/4 + 14 = 15. What is m?
  20. 20.Solve: 6t + 18 = 96. What is t?
  21. 21.Zoya thinks of a number, multiplies it by 2 and then adds 13. The result is 19. What is the number?
  22. 22.Solve: 5t + 14 = 24. What is t?
  23. 23.Solve: 2t + 3 = 27. What is t?
  24. 24.Solve: 5m − 8 = 42. What is m?
  25. 25.Solve: n/3 + 3 = 18. What is n?
  26. 26.Solve: 6p + 5 = 89. What is p?
  27. 27.Solve: 4x + 8 = 48. What is x?
  28. 28.Dev is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  29. 29.Ananya’s mother is four times as old as Ananya. Their ages add up to 55 years. How old is Ananya?
  30. 30.Solve: 5p + 8 = 83. What is p?
  31. 31.Solve: 8(p + 7) = 104. What is p?
  32. 32.Karan thinks of a number, multiplies it by 5 and then adds 3. The result is 78. What is the number?
  33. 33.Solve: 2n − 6 = 2. What is n?
  34. 34.Sneha thinks of a number, multiplies it by 2 and then adds 7. The result is 17. What is the number?
  35. 35.Vivaan is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  36. 36.Solve: 2y − 5 = 1. What is y?
  37. 37.Solve: 4(t + 6) = 44. What is t?
  38. 38.Nisha is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  39. 39.Meera is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  40. 40.Arjun’s mother is three times as old as Arjun. Their ages add up to 44 years. How old is Arjun?

Answer key

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

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