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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 520 · 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: 7p − 62 = 36. What is p?
  2. 2.Solve: 9(y + 7) = 117. What is y?
  3. 3.Solve: 6(n + 2) = 36. What is n?
  4. 4.Solve: 5x − 49 = 26. What is x?
  5. 5.Solve: 7m + 28 = 91. What is m?
  6. 6.Solve: 7m + 17 = 38. What is m?
  7. 7.Solve: 7m + 14 = 119. What is m?
  8. 8.Ishaan is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  9. 9.Solve: 2t + 23 = 37. What is t?
  10. 10.Solve: n/9 + 1 = 8. What is n?
  11. 11.Solve: 8(t + 5) = 88. What is t?
  12. 12.Karan is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  13. 13.Rahul’s mother is twice as old as Rahul. Their ages add up to 30 years. How old is Rahul?
  14. 14.Solve: p/4 + 16 = 17. What is p?
  15. 15.Solve: 3(n + 7) = 63. What is n?
  16. 16.Solve: 8y − 30 = 2. What is y?
  17. 17.Solve: 8m − 55 = 65. What is m?
  18. 18.Kabir thinks of a number, multiplies it by 8 and then adds 27. The result is 139. What is the number?
  19. 19.Solve: 8x − 12 = 4. What is x?
  20. 20.Solve: 5y + 30 = 75. What is y?
  21. 21.Solve: 2(x + 2) = 22. What is x?
  22. 22.Solve: 9y − 19 = 80. What is y?
  23. 23.Solve: 7x + 16 = 93. What is x?
  24. 24.Dev’s mother is three times as old as Dev. Their ages add up to 28 years. How old is Dev?
  25. 25.Karan thinks of a number, multiplies it by 5 and then adds 20. The result is 70. What is the number?
  26. 26.Solve: y/5 + 8 = 17. What is y?
  27. 27.Solve: 2m − 9 = 19. What is m?
  28. 28.Diya thinks of a number, multiplies it by 6 and then adds 9. The result is 81. What is the number?
  29. 29.Solve: 3(n + 2) = 9. What is n?
  30. 30.Ishaan is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  31. 31.Farhan is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  32. 32.Solve: 6(y + 5) = 102. What is y?
  33. 33.Solve: 3(m + 4) = 15. What is m?
  34. 34.Solve: 7x − 80 = 11. What is x?
  35. 35.Solve: 7n + 4 = 95. What is n?
  36. 36.Lakshmi is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  37. 37.Solve: 5p − 10 = 5. What is p?
  38. 38.Solve: 3x + 21 = 27. What is x?
  39. 39.Solve: 6m − 18 = 72. What is m?
  40. 40.Kabir’s mother is twice as old as Kabir. Their ages add up to 42 years. How old is Kabir?

Answer key

  1. 14
  2. 6
  3. 4
  4. 15
  5. 9
  6. 3
  7. 15
  8. 4
  9. 7
  10. 63
  11. 6
  12. 12
  13. 10
  14. 4
  15. 14
  16. 4
  17. 15
  18. 14
  19. 2
  20. 9
  21. 9
  22. 11
  23. 11
  24. 7
  25. 10
  26. 45
  27. 14
  28. 12
  29. 1
  30. 6
  31. 12
  32. 12
  33. 1
  34. 13
  35. 13
  36. 6
  37. 3
  38. 2
  39. 15
  40. 14

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