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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 348 · 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: 5x − 1 = 9. What is x?
  2. 2.Kabir thinks of a number, multiplies it by 7 and then adds 5. The result is 54. What is the number?
  3. 3.Solve: n/9 + 2 = 3. What is n?
  4. 4.Solve: 3m + 3 = 30. What is m?
  5. 5.Solve: 9n + 12 = 30. What is n?
  6. 6.Vivaan is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  7. 7.Solve: 9x − 35 = 73. What is x?
  8. 8.Solve: 7(x + 8) = 98. What is x?
  9. 9.Solve: 8(p + 2) = 40. What is p?
  10. 10.Solve: t/8 + 6 = 20. What is t?
  11. 11.Solve: 7x − 10 = 11. What is x?
  12. 12.Solve: 7y − 17 = 4. What is y?
  13. 13.Tara thinks of a number, multiplies it by 6 and then adds 30. The result is 48. What is the number?
  14. 14.Solve: 9y + 27 = 99. What is y?
  15. 15.Solve: 8(m + 5) = 56. What is m?
  16. 16.Ananya’s mother is four times as old as Ananya. Their ages add up to 50 years. How old is Ananya?
  17. 17.Solve: 2t − 18 = 6. What is t?
  18. 18.Solve: 8t − 90 = 30. What is t?
  19. 19.Solve: x/5 + 15 = 21. What is x?
  20. 20.Solve: 3x + 22 = 25. What is x?
  21. 21.Solve: 9y + 21 = 48. What is y?
  22. 22.Solve: p/4 + 6 = 8. What is p?
  23. 23.Gurpreet thinks of a number, multiplies it by 7 and then adds 26. The result is 61. What is the number?
  24. 24.Diya is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  25. 25.Solve: 4(n + 9) = 48. What is n?
  26. 26.Solve: 3y + 3 = 48. What is y?
  27. 27.Arjun is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  28. 28.Solve: p/7 + 6 = 7. What is p?
  29. 29.Diya thinks of a number, multiplies it by 3 and then adds 15. The result is 27. What is the number?
  30. 30.Solve: m/4 + 16 = 27. What is m?
  31. 31.Farhan thinks of a number, multiplies it by 5 and then adds 19. The result is 69. What is the number?
  32. 32.Isha thinks of a number, multiplies it by 3 and then adds 21. The result is 51. What is the number?
  33. 33.Kavya is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  34. 34.Solve: 8y − 3 = 29. What is y?
  35. 35.Solve: n/4 + 10 = 18. What is n?
  36. 36.Solve: 5m + 29 = 34. What is m?
  37. 37.Farhan thinks of a number, multiplies it by 9 and then adds 7. The result is 61. What is the number?
  38. 38.Solve: 9(x + 3) = 153. What is x?
  39. 39.Solve: 6n − 2 = 28. What is n?
  40. 40.Solve: 5t + 1 = 16. What is t?

Answer key

  1. 2
  2. 7
  3. 9
  4. 9
  5. 2
  6. 7
  7. 12
  8. 6
  9. 3
  10. 112
  11. 3
  12. 3
  13. 3
  14. 8
  15. 2
  16. 10
  17. 12
  18. 15
  19. 30
  20. 1
  21. 3
  22. 8
  23. 5
  24. 14
  25. 3
  26. 15
  27. 9
  28. 7
  29. 4
  30. 44
  31. 10
  32. 10
  33. 13
  34. 4
  35. 32
  36. 1
  37. 6
  38. 14
  39. 5
  40. 3

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