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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 135 · 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: 3(p + 1) = 45. What is p?
  2. 2.Karan thinks of a number, multiplies it by 8 and then adds 11. The result is 115. What is the number?
  3. 3.Meera is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  4. 4.Solve: x/2 + 10 = 15. What is x?
  5. 5.Solve: 4(x + 6) = 64. What is x?
  6. 6.Solve: 5(t + 4) = 30. What is t?
  7. 7.Arjun thinks of a number, multiplies it by 7 and then adds 6. The result is 104. What is the number?
  8. 8.Solve: 9x − 3 = 6. What is x?
  9. 9.Solve: 2x − 4 = 20. What is x?
  10. 10.Solve: 3x − 1 = 5. What is x?
  11. 11.Solve: 6y + 1 = 19. What is y?
  12. 12.Solve: 4n + 15 = 39. What is n?
  13. 13.Solve: y/4 + 5 = 8. What is y?
  14. 14.Aditya thinks of a number, multiplies it by 8 and then adds 5. The result is 53. What is the number?
  15. 15.Ananya’s mother is twice as old as Ananya. Their ages add up to 18 years. How old is Ananya?
  16. 16.Solve: 2x + 4 = 12. What is x?
  17. 17.Solve: 8(m + 3) = 96. What is m?
  18. 18.Nisha is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  19. 19.Solve: 6t − 19 = 71. What is t?
  20. 20.Solve: 2(m + 6) = 14. What is m?
  21. 21.Solve: 8y + 14 = 46. What is y?
  22. 22.Kabir thinks of a number, multiplies it by 7 and then adds 14. The result is 42. What is the number?
  23. 23.Solve: 3y − 35 = 7. What is y?
  24. 24.Solve: 3(n + 7) = 42. What is n?
  25. 25.Solve: 3m + 2 = 11. What is m?
  26. 26.Solve: 3p + 10 = 46. What is p?
  27. 27.Solve: 2x + 16 = 46. What is x?
  28. 28.Solve: 6(y + 1) = 24. What is y?
  29. 29.Solve: x/5 + 15 = 28. What is x?
  30. 30.Solve: t/4 + 18 = 32. What is t?
  31. 31.Solve: 5(x + 3) = 35. What is x?
  32. 32.Solve: 8y − 3 = 5. What is y?
  33. 33.Rohan’s mother is four times as old as Rohan. Their ages add up to 35 years. How old is Rohan?
  34. 34.Solve: 4y + 13 = 37. What is y?
  35. 35.Solve: 9n + 18 = 27. What is n?
  36. 36.Solve: 8(p + 7) = 168. What is p?
  37. 37.Solve: 4t + 4 = 20. What is t?
  38. 38.Solve: 6p + 19 = 79. What is p?
  39. 39.Solve: y/4 + 7 = 14. What is y?
  40. 40.Solve: 5n − 65 = 10. What is n?

Answer key

  1. 14
  2. 13
  3. 14
  4. 10
  5. 10
  6. 2
  7. 14
  8. 1
  9. 12
  10. 2
  11. 3
  12. 6
  13. 12
  14. 6
  15. 6
  16. 4
  17. 9
  18. 7
  19. 15
  20. 1
  21. 4
  22. 4
  23. 14
  24. 7
  25. 3
  26. 12
  27. 15
  28. 3
  29. 65
  30. 56
  31. 4
  32. 1
  33. 7
  34. 6
  35. 1
  36. 14
  37. 4
  38. 10
  39. 28
  40. 15

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