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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 607 · 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: 8(n + 6) = 128. What is n?
  2. 2.Gurpreet thinks of a number, multiplies it by 9 and then adds 8. The result is 35. What is the number?
  3. 3.Solve: 5x + 23 = 88. What is x?
  4. 4.Solve: y/6 + 10 = 15. What is y?
  5. 5.Nisha thinks of a number, multiplies it by 4 and then adds 24. The result is 80. What is the number?
  6. 6.Solve: 2t + 14 = 38. What is t?
  7. 7.Solve: 6y − 4 = 14. What is y?
  8. 8.Solve: y/3 + 13 = 18. What is y?
  9. 9.Solve: 5(y + 6) = 35. What is y?
  10. 10.Solve: y/4 + 7 = 11. What is y?
  11. 11.Solve: y/4 + 10 = 11. What is y?
  12. 12.Solve: 8m − 39 = 9. What is m?
  13. 13.Solve: 9p + 1 = 91. What is p?
  14. 14.Solve: 9(n + 1) = 81. What is n?
  15. 15.Diya’s mother is four times as old as Diya. Their ages add up to 30 years. How old is Diya?
  16. 16.Diya is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  17. 17.Solve: 6t − 2 = 4. What is t?
  18. 18.Solve: 2m + 14 = 22. What is m?
  19. 19.Solve: 5p − 29 = 46. What is p?
  20. 20.Pooja is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  21. 21.Dev is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  22. 22.Solve: 4p − 3 = 5. What is p?
  23. 23.Kabir thinks of a number, multiplies it by 5 and then adds 28. The result is 63. What is the number?
  24. 24.Solve: 9t + 21 = 75. What is t?
  25. 25.Solve: n/2 + 16 = 30. What is n?
  26. 26.Solve: 3x + 14 = 17. What is x?
  27. 27.Solve: p/7 + 5 = 10. What is p?
  28. 28.Riya’s mother is three times as old as Riya. Their ages add up to 24 years. How old is Riya?
  29. 29.Solve: y/3 + 16 = 22. What is y?
  30. 30.Solve: x/3 + 3 = 5. What is x?
  31. 31.Solve: 2y + 1 = 15. What is y?
  32. 32.Arjun thinks of a number, multiplies it by 3 and then adds 30. The result is 36. What is the number?
  33. 33.Kabir thinks of a number, multiplies it by 5 and then adds 27. The result is 82. What is the number?
  34. 34.Saanvi is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  35. 35.Solve: 7(p + 8) = 105. What is p?
  36. 36.Solve: 4n − 3 = 17. What is n?
  37. 37.Solve: 6(n + 5) = 48. What is n?
  38. 38.Ananya’s mother is three times as old as Ananya. Their ages add up to 48 years. How old is Ananya?
  39. 39.Solve: y/6 + 18 = 29. What is y?
  40. 40.Saanvi is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?

Answer key

  1. 10
  2. 3
  3. 13
  4. 30
  5. 14
  6. 12
  7. 3
  8. 15
  9. 1
  10. 16
  11. 4
  12. 6
  13. 10
  14. 8
  15. 6
  16. 13
  17. 1
  18. 4
  19. 15
  20. 12
  21. 9
  22. 2
  23. 7
  24. 6
  25. 28
  26. 1
  27. 35
  28. 6
  29. 18
  30. 6
  31. 7
  32. 2
  33. 11
  34. 11
  35. 7
  36. 5
  37. 3
  38. 12
  39. 66
  40. 6

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