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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 998 · 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.Ananya’s mother is four times as old as Ananya. Their ages add up to 30 years. How old is Ananya?
  2. 2.Arjun is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  3. 3.Solve: 3x − 16 = 17. What is x?
  4. 4.Solve: t/3 + 18 = 29. What is t?
  5. 5.Solve: m/8 + 18 = 25. What is m?
  6. 6.Kavya’s mother is twice as old as Kavya. Their ages add up to 18 years. How old is Kavya?
  7. 7.Solve: 3m + 25 = 64. What is m?
  8. 8.Solve: 2t + 15 = 29. What is t?
  9. 9.Solve: x/6 + 3 = 6. What is x?
  10. 10.Solve: 3x − 2 = 25. What is x?
  11. 11.Ananya is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  12. 12.Lakshmi thinks of a number, multiplies it by 7 and then adds 2. The result is 9. What is the number?
  13. 13.Solve: 7x + 26 = 47. What is x?
  14. 14.Solve: 9x − 18 = 9. What is x?
  15. 15.Solve: 2x − 15 = 1. What is x?
  16. 16.Solve: 7p − 4 = 3. What is p?
  17. 17.Rohan thinks of a number, multiplies it by 4 and then adds 30. The result is 70. What is the number?
  18. 18.Solve: 7(y + 3) = 35. What is y?
  19. 19.Nisha thinks of a number, multiplies it by 3 and then adds 29. The result is 65. What is the number?
  20. 20.Solve: t/4 + 6 = 7. What is t?
  21. 21.Manav’s mother is twice as old as Manav. Their ages add up to 36 years. How old is Manav?
  22. 22.Nisha thinks of a number, multiplies it by 9 and then adds 10. The result is 118. What is the number?
  23. 23.Solve: p/5 + 11 = 16. What is p?
  24. 24.Solve: x/2 + 12 = 23. What is x?
  25. 25.Solve: 6x + 2 = 14. What is x?
  26. 26.Ishaan thinks of a number, multiplies it by 7 and then adds 29. The result is 64. What is the number?
  27. 27.Solve: 5p − 59 = 1. What is p?
  28. 28.Solve: 9y − 96 = 12. What is y?
  29. 29.Joseph’s mother is four times as old as Joseph. Their ages add up to 45 years. How old is Joseph?
  30. 30.Solve: 7x − 38 = 4. What is x?
  31. 31.Kavya thinks of a number, multiplies it by 2 and then adds 10. The result is 14. What is the number?
  32. 32.Pooja thinks of a number, multiplies it by 2 and then adds 13. The result is 35. What is the number?
  33. 33.Rahul thinks of a number, multiplies it by 7 and then adds 30. The result is 93. What is the number?
  34. 34.Solve: 2n − 1 = 1. What is n?
  35. 35.Solve: 4x − 2 = 2. What is x?
  36. 36.Rahul thinks of a number, multiplies it by 6 and then adds 10. The result is 64. What is the number?
  37. 37.Solve: 6(x + 1) = 42. What is x?
  38. 38.Isha thinks of a number, multiplies it by 7 and then adds 18. The result is 116. What is the number?
  39. 39.Solve: 6p + 7 = 61. What is p?
  40. 40.Solve: p/5 + 3 = 8. What is p?

Answer key

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

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