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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 31 · 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.Karan’s mother is four times as old as Karan. Their ages add up to 40 years. How old is Karan?
  2. 2.Solve: 2y + 5 = 9. What is y?
  3. 3.Dev thinks of a number, multiplies it by 3 and then adds 25. The result is 52. What is the number?
  4. 4.Solve: y/7 + 10 = 19. What is y?
  5. 5.Solve: 8t + 22 = 110. What is t?
  6. 6.Solve: 5y − 58 = 12. What is y?
  7. 7.Meera is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  8. 8.Solve: 5p + 18 = 68. What is p?
  9. 9.Solve: 8(m + 8) = 176. What is m?
  10. 10.Solve: 8(t + 3) = 56. What is t?
  11. 11.Dev thinks of a number, multiplies it by 8 and then adds 25. The result is 145. What is the number?
  12. 12.Solve: 7n + 30 = 37. What is n?
  13. 13.Kabir’s mother is three times as old as Kabir. Their ages add up to 36 years. How old is Kabir?
  14. 14.Solve: 5(t + 6) = 85. What is t?
  15. 15.Solve: 2p + 21 = 41. What is p?
  16. 16.Solve: 5p + 29 = 44. What is p?
  17. 17.Solve: 6t + 4 = 22. What is t?
  18. 18.Solve: 7x + 4 = 39. What is x?
  19. 19.Diya is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  20. 20.Farhan is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  21. 21.Solve: 2t − 20 = 2. What is t?
  22. 22.Solve: 6(p + 6) = 108. What is p?
  23. 23.Rahul thinks of a number, multiplies it by 3 and then adds 14. The result is 23. What is the number?
  24. 24.Farhan thinks of a number, multiplies it by 2 and then adds 24. The result is 34. What is the number?
  25. 25.Diya is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  26. 26.Solve: x/7 + 1 = 3. What is x?
  27. 27.Solve: 7x − 8 = 34. What is x?
  28. 28.Solve: 7x + 15 = 22. What is x?
  29. 29.Solve: 3x − 14 = 16. What is x?
  30. 30.Solve: 8y + 10 = 34. What is y?
  31. 31.Solve: 8(y + 5) = 80. What is y?
  32. 32.Arjun is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  33. 33.Solve: 3y − 30 = 9. What is y?
  34. 34.Solve: x/2 + 1 = 9. What is x?
  35. 35.Solve: 6(m + 5) = 42. What is m?
  36. 36.Solve: 9t − 2 = 97. What is t?
  37. 37.Solve: y/8 + 7 = 10. What is y?
  38. 38.Solve: 4(p + 3) = 44. What is p?
  39. 39.Solve: t/9 + 10 = 18. What is t?
  40. 40.Solve: 9(t + 3) = 72. What is t?

Answer key

  1. 8
  2. 2
  3. 9
  4. 63
  5. 11
  6. 14
  7. 10
  8. 10
  9. 14
  10. 4
  11. 15
  12. 1
  13. 9
  14. 11
  15. 10
  16. 3
  17. 3
  18. 5
  19. 10
  20. 9
  21. 11
  22. 12
  23. 3
  24. 5
  25. 13
  26. 14
  27. 6
  28. 1
  29. 10
  30. 3
  31. 5
  32. 15
  33. 13
  34. 16
  35. 2
  36. 11
  37. 24
  38. 8
  39. 72
  40. 5

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