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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 298 · 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(x + 1) = 18. What is x?
  2. 2.Solve: 5t − 12 = 3. What is t?
  3. 3.Ananya thinks of a number, multiplies it by 2 and then adds 13. The result is 17. What is the number?
  4. 4.Solve: 3p − 19 = 5. What is p?
  5. 5.Solve: 7x − 27 = 22. What is x?
  6. 6.Solve: 4x − 19 = 1. What is x?
  7. 7.Solve: 4p + 26 = 82. What is p?
  8. 8.Solve: m/2 + 1 = 5. What is m?
  9. 9.Priya thinks of a number, multiplies it by 7 and then adds 16. The result is 93. What is the number?
  10. 10.Solve: 8p − 10 = 6. What is p?
  11. 11.Solve: 3n + 8 = 32. What is n?
  12. 12.Rahul is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  13. 13.Solve: 8x + 19 = 51. What is x?
  14. 14.Solve: 6n + 22 = 46. What is n?
  15. 15.Aditya is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  16. 16.Solve: 9(n + 9) = 207. What is n?
  17. 17.Aarav thinks of a number, multiplies it by 7 and then adds 6. The result is 69. What is the number?
  18. 18.Dev thinks of a number, multiplies it by 3 and then adds 30. The result is 33. What is the number?
  19. 19.Solve: 6p + 17 = 53. What is p?
  20. 20.Solve: x/5 + 14 = 27. What is x?
  21. 21.Vivaan is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  22. 22.Solve: 4(t + 5) = 40. What is t?
  23. 23.Solve: 5(x + 9) = 115. What is x?
  24. 24.Solve: 3(n + 4) = 51. What is n?
  25. 25.Solve: 6x − 17 = 7. What is x?
  26. 26.Solve: n/6 + 11 = 26. What is n?
  27. 27.Solve: 4(x + 2) = 20. What is x?
  28. 28.Solve: 9m + 20 = 56. What is m?
  29. 29.Solve: 3p + 10 = 16. What is p?
  30. 30.Rohan is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  31. 31.Karan thinks of a number, multiplies it by 9 and then adds 11. The result is 119. What is the number?
  32. 32.Riya thinks of a number, multiplies it by 8 and then adds 6. The result is 126. What is the number?
  33. 33.Solve: 6n − 13 = 11. What is n?
  34. 34.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 16 years. How old is Vivaan?
  35. 35.Solve: n/6 + 17 = 27. What is n?
  36. 36.Solve: 2p + 18 = 32. What is p?
  37. 37.Solve: 3n − 1 = 2. What is n?
  38. 38.Gurpreet thinks of a number, multiplies it by 6 and then adds 25. The result is 79. What is the number?
  39. 39.Vivaan thinks of a number, multiplies it by 9 and then adds 2. The result is 119. What is the number?
  40. 40.Solve: 2(m + 4) = 28. What is m?

Answer key

  1. 5
  2. 3
  3. 2
  4. 8
  5. 7
  6. 5
  7. 14
  8. 8
  9. 11
  10. 2
  11. 8
  12. 8
  13. 4
  14. 4
  15. 4
  16. 14
  17. 9
  18. 1
  19. 6
  20. 65
  21. 12
  22. 5
  23. 14
  24. 13
  25. 4
  26. 90
  27. 3
  28. 4
  29. 2
  30. 13
  31. 12
  32. 15
  33. 4
  34. 4
  35. 60
  36. 7
  37. 1
  38. 9
  39. 13
  40. 10

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