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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 553 · 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.Kavya is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  2. 2.Solve: 4n + 2 = 42. What is n?
  3. 3.Rahul’s mother is twice as old as Rahul. Their ages add up to 12 years. How old is Rahul?
  4. 4.Solve: 5x − 13 = 17. What is x?
  5. 5.Solve: 6(x + 8) = 138. What is x?
  6. 6.Solve: t/4 + 10 = 15. What is t?
  7. 7.Solve: 9(y + 9) = 171. What is y?
  8. 8.Solve: 4p + 11 = 35. What is p?
  9. 9.Solve: 7t + 3 = 45. What is t?
  10. 10.Solve: n/6 + 15 = 16. What is n?
  11. 11.Pooja thinks of a number, multiplies it by 4 and then adds 16. The result is 56. What is the number?
  12. 12.Solve: 9(m + 1) = 18. What is m?
  13. 13.Solve: 4(t + 5) = 44. What is t?
  14. 14.Solve: 5x + 5 = 25. What is x?
  15. 15.Solve: 7m + 17 = 115. What is m?
  16. 16.Kabir’s mother is twice as old as Kabir. Their ages add up to 12 years. How old is Kabir?
  17. 17.Farhan’s mother is twice as old as Farhan. Their ages add up to 24 years. How old is Farhan?
  18. 18.Solve: 5n − 10 = 40. What is n?
  19. 19.Manav thinks of a number, multiplies it by 3 and then adds 18. The result is 42. What is the number?
  20. 20.Solve: x/6 + 10 = 25. What is x?
  21. 21.Solve: 5p + 29 = 54. What is p?
  22. 22.Solve: 4(x + 5) = 80. What is x?
  23. 23.Solve: m/8 + 9 = 16. What is m?
  24. 24.Solve: 7t + 20 = 55. What is t?
  25. 25.Solve: 2y − 8 = 14. What is y?
  26. 26.Solve: 8x + 20 = 116. What is x?
  27. 27.Meera thinks of a number, multiplies it by 6 and then adds 17. The result is 107. What is the number?
  28. 28.Solve: 8(x + 9) = 176. What is x?
  29. 29.Solve: 4t + 12 = 44. What is t?
  30. 30.Solve: 4x + 29 = 61. What is x?
  31. 31.Solve: 7y + 9 = 107. What is y?
  32. 32.Solve: x/2 + 5 = 9. What is x?
  33. 33.Solve: 7(m + 6) = 98. What is m?
  34. 34.Solve: 3(y + 1) = 9. What is y?
  35. 35.Solve: m/6 + 18 = 31. What is m?
  36. 36.Solve: 3y − 4 = 2. What is y?
  37. 37.Solve: 8y + 26 = 122. What is y?
  38. 38.Pooja’s mother is four times as old as Pooja. Their ages add up to 30 years. How old is Pooja?
  39. 39.Pooja thinks of a number, multiplies it by 4 and then adds 17. The result is 41. What is the number?
  40. 40.Rahul is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?

Answer key

  1. 6
  2. 10
  3. 4
  4. 6
  5. 15
  6. 20
  7. 10
  8. 6
  9. 6
  10. 6
  11. 10
  12. 1
  13. 6
  14. 4
  15. 14
  16. 4
  17. 8
  18. 10
  19. 8
  20. 90
  21. 5
  22. 15
  23. 56
  24. 5
  25. 11
  26. 12
  27. 15
  28. 13
  29. 8
  30. 8
  31. 14
  32. 8
  33. 8
  34. 2
  35. 78
  36. 2
  37. 12
  38. 6
  39. 6
  40. 10

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