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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 52 · 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: 8p + 15 = 39. What is p?
  2. 2.Aditya thinks of a number, multiplies it by 2 and then adds 2. The result is 12. What is the number?
  3. 3.Ishaan is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  4. 4.Solve: 9n − 30 = 78. What is n?
  5. 5.Solve: t/6 + 10 = 15. What is t?
  6. 6.Solve: 8p − 50 = 22. What is p?
  7. 7.Solve: 4(y + 1) = 28. What is y?
  8. 8.Solve: n/2 + 10 = 14. What is n?
  9. 9.Farhan thinks of a number, multiplies it by 7 and then adds 2. The result is 107. What is the number?
  10. 10.Solve: p/2 + 15 = 30. What is p?
  11. 11.Solve: 7(m + 3) = 42. What is m?
  12. 12.Aarav thinks of a number, multiplies it by 2 and then adds 18. The result is 34. What is the number?
  13. 13.Solve: t/2 + 17 = 24. What is t?
  14. 14.Solve: 2(x + 8) = 30. What is x?
  15. 15.Solve: 8(p + 3) = 104. What is p?
  16. 16.Solve: 4(x + 9) = 56. What is x?
  17. 17.Karan is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  18. 18.Solve: 4p + 8 = 56. What is p?
  19. 19.Solve: 2n + 2 = 8. What is n?
  20. 20.Solve: p/2 + 17 = 29. What is p?
  21. 21.Solve: m/2 + 13 = 25. What is m?
  22. 22.Solve: 3y + 3 = 24. What is y?
  23. 23.Solve: 7(y + 2) = 98. What is y?
  24. 24.Solve: 3x + 20 = 29. What is x?
  25. 25.Solve: 3p + 19 = 61. What is p?
  26. 26.Solve: 3y + 28 = 55. What is y?
  27. 27.Aarav thinks of a number, multiplies it by 6 and then adds 21. The result is 39. What is the number?
  28. 28.Isha is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  29. 29.Arjun thinks of a number, multiplies it by 9 and then adds 28. The result is 109. What is the number?
  30. 30.Solve: 8(n + 1) = 128. What is n?
  31. 31.Solve: 5x + 2 = 7. What is x?
  32. 32.Saanvi is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  33. 33.Solve: 3x − 3 = 3. What is x?
  34. 34.Solve: p/6 + 11 = 18. What is p?
  35. 35.Aarav is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  36. 36.Solve: 3m + 1 = 16. What is m?
  37. 37.Aarav thinks of a number, multiplies it by 8 and then adds 14. The result is 54. What is the number?
  38. 38.Solve: 6m + 7 = 25. What is m?
  39. 39.Solve: 5m + 21 = 66. What is m?
  40. 40.Solve: 9y − 30 = 6. What is y?

Answer key

  1. 3
  2. 5
  3. 11
  4. 12
  5. 30
  6. 9
  7. 6
  8. 8
  9. 15
  10. 30
  11. 3
  12. 8
  13. 14
  14. 7
  15. 10
  16. 5
  17. 9
  18. 12
  19. 3
  20. 24
  21. 24
  22. 7
  23. 12
  24. 3
  25. 14
  26. 9
  27. 3
  28. 4
  29. 9
  30. 15
  31. 1
  32. 4
  33. 2
  34. 42
  35. 13
  36. 5
  37. 5
  38. 3
  39. 9
  40. 4

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