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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 800 · 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: m/6 + 18 = 29. What is m?
  2. 2.Kavya thinks of a number, multiplies it by 6 and then adds 25. The result is 43. What is the number?
  3. 3.Solve: 6x − 13 = 53. What is x?
  4. 4.Farhan’s mother is three times as old as Farhan. Their ages add up to 32 years. How old is Farhan?
  5. 5.Manav thinks of a number, multiplies it by 8 and then adds 2. The result is 122. What is the number?
  6. 6.Solve: 3(x + 8) = 39. What is x?
  7. 7.Solve: 6p + 17 = 53. What is p?
  8. 8.Vivaan is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  9. 9.Diya thinks of a number, multiplies it by 2 and then adds 12. The result is 22. What is the number?
  10. 10.Solve: 4(n + 8) = 60. What is n?
  11. 11.Solve: 2(x + 7) = 18. What is x?
  12. 12.Solve: 5(n + 8) = 100. What is n?
  13. 13.Sneha’s mother is twice as old as Sneha. Their ages add up to 18 years. How old is Sneha?
  14. 14.Solve: y/7 + 9 = 10. What is y?
  15. 15.Meera’s mother is twice as old as Meera. Their ages add up to 42 years. How old is Meera?
  16. 16.Solve: 3n − 18 = 3. What is n?
  17. 17.Solve: n/2 + 1 = 14. What is n?
  18. 18.Solve: 2(t + 7) = 18. What is t?
  19. 19.Solve: 9p + 12 = 21. What is p?
  20. 20.Solve: 3y − 2 = 1. What is y?
  21. 21.Solve: 3p − 3 = 33. What is p?
  22. 22.Solve: 5p − 1 = 19. What is p?
  23. 23.Kavya thinks of a number, multiplies it by 6 and then adds 1. The result is 73. What is the number?
  24. 24.Solve: n/8 + 14 = 22. What is n?
  25. 25.Solve: 2(n + 8) = 34. What is n?
  26. 26.Solve: 3x + 26 = 38. What is x?
  27. 27.Riya thinks of a number, multiplies it by 6 and then adds 7. The result is 61. What is the number?
  28. 28.Solve: 8p − 18 = 14. What is p?
  29. 29.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 50 years. How old is Ishaan?
  30. 30.Isha thinks of a number, multiplies it by 4 and then adds 19. The result is 71. What is the number?
  31. 31.Solve: 3p + 2 = 35. What is p?
  32. 32.Solve: 4t + 13 = 37. What is t?
  33. 33.Zoya’s mother is twice as old as Zoya. Their ages add up to 33 years. How old is Zoya?
  34. 34.Tara thinks of a number, multiplies it by 2 and then adds 28. The result is 36. What is the number?
  35. 35.Solve: 6x + 8 = 98. What is x?
  36. 36.Tara thinks of a number, multiplies it by 2 and then adds 9. The result is 33. What is the number?
  37. 37.Aarav is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  38. 38.Solve: 6p − 45 = 27. What is p?
  39. 39.Rohan thinks of a number, multiplies it by 3 and then adds 19. The result is 31. What is the number?
  40. 40.Isha is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?

Answer key

  1. 66
  2. 3
  3. 11
  4. 8
  5. 15
  6. 5
  7. 6
  8. 5
  9. 5
  10. 7
  11. 2
  12. 12
  13. 6
  14. 7
  15. 14
  16. 7
  17. 26
  18. 2
  19. 1
  20. 1
  21. 12
  22. 4
  23. 12
  24. 64
  25. 9
  26. 4
  27. 9
  28. 4
  29. 10
  30. 13
  31. 11
  32. 6
  33. 11
  34. 4
  35. 15
  36. 12
  37. 8
  38. 12
  39. 4
  40. 8

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