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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 719 · 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: y/7 + 6 = 12. What is y?
  2. 2.Solve: 6(t + 4) = 108. What is t?
  3. 3.Solve: 7(m + 3) = 77. What is m?
  4. 4.Solve: 8m + 4 = 20. What is m?
  5. 5.Solve: x/4 + 16 = 24. What is x?
  6. 6.Ananya is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  7. 7.Solve: 3(t + 7) = 30. What is t?
  8. 8.Solve: 3(t + 4) = 24. What is t?
  9. 9.Solve: p/8 + 11 = 12. What is p?
  10. 10.Solve: x/4 + 17 = 21. What is x?
  11. 11.Solve: 2t + 16 = 28. What is t?
  12. 12.Isha’s mother is four times as old as Isha. Their ages add up to 70 years. How old is Isha?
  13. 13.Joseph thinks of a number, multiplies it by 6 and then adds 29. The result is 35. What is the number?
  14. 14.Solve: 8m + 19 = 91. What is m?
  15. 15.Solve: 8(y + 4) = 128. What is y?
  16. 16.Arjun thinks of a number, multiplies it by 7 and then adds 28. The result is 133. What is the number?
  17. 17.Solve: 2x − 2 = 20. What is x?
  18. 18.Solve: y/9 + 15 = 19. What is y?
  19. 19.Solve: 4t + 17 = 61. What is t?
  20. 20.Manav is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  21. 21.Solve: p/5 + 10 = 25. What is p?
  22. 22.Sneha thinks of a number, multiplies it by 3 and then adds 28. The result is 31. What is the number?
  23. 23.Solve: 3(y + 1) = 6. What is y?
  24. 24.Solve: 2y − 3 = 5. What is y?
  25. 25.Solve: 3t − 27 = 6. What is t?
  26. 26.Solve: y/8 + 13 = 18. What is y?
  27. 27.Karan thinks of a number, multiplies it by 5 and then adds 2. The result is 22. What is the number?
  28. 28.Tara thinks of a number, multiplies it by 7 and then adds 7. The result is 35. What is the number?
  29. 29.Solve: m/8 + 3 = 12. What is m?
  30. 30.Solve: 9p − 16 = 29. What is p?
  31. 31.Solve: x/3 + 5 = 18. What is x?
  32. 32.Meera’s mother is twice as old as Meera. Their ages add up to 33 years. How old is Meera?
  33. 33.Solve: 3n − 3 = 21. What is n?
  34. 34.Solve: 8m + 9 = 81. What is m?
  35. 35.Solve: 3y − 8 = 25. What is y?
  36. 36.Solve: x/5 + 6 = 17. What is x?
  37. 37.Solve: 7y − 1 = 6. What is y?
  38. 38.Solve: 3(m + 3) = 45. What is m?
  39. 39.Solve: 5m + 17 = 77. What is m?
  40. 40.Saanvi is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?

Answer key

  1. 42
  2. 14
  3. 8
  4. 2
  5. 32
  6. 4
  7. 3
  8. 4
  9. 8
  10. 16
  11. 6
  12. 14
  13. 1
  14. 9
  15. 12
  16. 15
  17. 11
  18. 36
  19. 11
  20. 6
  21. 75
  22. 1
  23. 1
  24. 4
  25. 11
  26. 40
  27. 4
  28. 4
  29. 72
  30. 5
  31. 39
  32. 11
  33. 8
  34. 9
  35. 11
  36. 55
  37. 1
  38. 12
  39. 12
  40. 10

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