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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 118 · 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 is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  2. 2.Meera is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  3. 3.Solve: 7(p + 6) = 84. What is p?
  4. 4.Solve: x/7 + 8 = 15. What is x?
  5. 5.Rohan’s mother is four times as old as Rohan. Their ages add up to 20 years. How old is Rohan?
  6. 6.Vivaan thinks of a number, multiplies it by 2 and then adds 2. The result is 8. What is the number?
  7. 7.Solve: 2(x + 8) = 32. What is x?
  8. 8.Solve: 9(y + 5) = 162. What is y?
  9. 9.Solve: t/9 + 17 = 21. What is t?
  10. 10.Meera thinks of a number, multiplies it by 3 and then adds 8. The result is 41. What is the number?
  11. 11.Solve: 7x − 25 = 10. What is x?
  12. 12.Kabir thinks of a number, multiplies it by 5 and then adds 23. The result is 83. What is the number?
  13. 13.Rohan is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  14. 14.Solve: 9n + 13 = 31. What is n?
  15. 15.Solve: 6p − 41 = 37. What is p?
  16. 16.Solve: 5x − 2 = 8. What is x?
  17. 17.Solve: 9y − 64 = 53. What is y?
  18. 18.Solve: 3t − 9 = 6. What is t?
  19. 19.Solve: 5(p + 2) = 80. What is p?
  20. 20.Farhan’s mother is three times as old as Farhan. Their ages add up to 60 years. How old is Farhan?
  21. 21.Solve: 7p + 13 = 62. What is p?
  22. 22.Solve: m/6 + 16 = 26. What is m?
  23. 23.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 16 years. How old is Vivaan?
  24. 24.Solve: x/7 + 12 = 22. What is x?
  25. 25.Gurpreet thinks of a number, multiplies it by 7 and then adds 13. The result is 90. What is the number?
  26. 26.Solve: 6(m + 3) = 96. What is m?
  27. 27.Solve: 3(y + 7) = 30. What is y?
  28. 28.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 18 years. How old is Lakshmi?
  29. 29.Solve: t/9 + 17 = 31. What is t?
  30. 30.Solve: 7y − 43 = 13. What is y?
  31. 31.Solve: 8(n + 1) = 24. What is n?
  32. 32.Solve: 2(x + 2) = 20. What is x?
  33. 33.Karan is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  34. 34.Solve: 2(m + 5) = 18. What is m?
  35. 35.Solve: 4(n + 1) = 52. What is n?
  36. 36.Solve: 8p + 22 = 54. What is p?
  37. 37.Solve: 6y − 12 = 24. What is y?
  38. 38.Lakshmi is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  39. 39.Riya thinks of a number, multiplies it by 8 and then adds 30. The result is 118. What is the number?
  40. 40.Rahul thinks of a number, multiplies it by 2 and then adds 29. The result is 33. What is the number?

Answer key

  1. 5
  2. 10
  3. 6
  4. 49
  5. 4
  6. 3
  7. 8
  8. 13
  9. 36
  10. 11
  11. 5
  12. 12
  13. 10
  14. 2
  15. 13
  16. 2
  17. 13
  18. 5
  19. 14
  20. 15
  21. 7
  22. 60
  23. 4
  24. 70
  25. 11
  26. 13
  27. 3
  28. 6
  29. 126
  30. 8
  31. 2
  32. 8
  33. 9
  34. 4
  35. 12
  36. 4
  37. 6
  38. 12
  39. 11
  40. 2

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