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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 318 · 40 sums
TalentJR

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: y/8 + 14 = 25. What is y?
  2. 2.Solve: 4y + 17 = 41. What is y?
  3. 3.Joseph thinks of a number, multiplies it by 6 and then adds 19. The result is 109. What is the number?
  4. 4.Solve: y/4 + 9 = 14. What is y?
  5. 5.Solve: 2(p + 4) = 18. What is p?
  6. 6.Solve: 7t − 2 = 54. What is t?
  7. 7.Solve: y/2 + 14 = 28. What is y?
  8. 8.Solve: 4x − 8 = 32. What is x?
  9. 9.Solve: 2m + 13 = 15. What is m?
  10. 10.Solve: p/9 + 3 = 13. What is p?
  11. 11.Solve: 2y + 13 = 31. What is y?
  12. 12.Solve: 3(m + 9) = 69. What is m?
  13. 13.Solve: 7p + 20 = 97. What is p?
  14. 14.Solve: y/5 + 6 = 21. What is y?
  15. 15.Solve: 9(n + 6) = 162. What is n?
  16. 16.Karan thinks of a number, multiplies it by 9 and then adds 2. The result is 29. What is the number?
  17. 17.Solve: 3p + 21 = 66. What is p?
  18. 18.Solve: x/2 + 11 = 17. What is x?
  19. 19.Solve: 8m + 3 = 99. What is m?
  20. 20.Solve: 7x + 15 = 22. What is x?
  21. 21.Solve: t/9 + 16 = 27. What is t?
  22. 22.Solve: 3(y + 8) = 33. What is y?
  23. 23.Solve: 5m − 10 = 10. What is m?
  24. 24.Solve: 2(t + 7) = 16. What is t?
  25. 25.Solve: y/5 + 5 = 9. What is y?
  26. 26.Meera is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  27. 27.Solve: 4x − 14 = 10. What is x?
  28. 28.Solve: m/2 + 10 = 19. What is m?
  29. 29.Solve: 6(y + 5) = 120. What is y?
  30. 30.Solve: p/9 + 4 = 14. What is p?
  31. 31.Ishaan thinks of a number, multiplies it by 6 and then adds 16. The result is 88. What is the number?
  32. 32.Solve: 7m + 14 = 42. What is m?
  33. 33.Sneha thinks of a number, multiplies it by 3 and then adds 17. The result is 59. What is the number?
  34. 34.Solve: 8p − 22 = 74. What is p?
  35. 35.Solve: 7m + 3 = 94. What is m?
  36. 36.Solve: y/8 + 8 = 11. What is y?
  37. 37.Ishaan is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  38. 38.Solve: 4y − 28 = 8. What is y?
  39. 39.Solve: 9(m + 5) = 135. What is m?
  40. 40.Isha thinks of a number, multiplies it by 7 and then adds 25. The result is 102. What is the number?

Answer key

  1. 88
  2. 6
  3. 15
  4. 20
  5. 5
  6. 8
  7. 28
  8. 10
  9. 1
  10. 90
  11. 9
  12. 14
  13. 11
  14. 75
  15. 12
  16. 3
  17. 15
  18. 12
  19. 12
  20. 1
  21. 99
  22. 3
  23. 4
  24. 1
  25. 20
  26. 14
  27. 6
  28. 18
  29. 15
  30. 90
  31. 12
  32. 4
  33. 14
  34. 12
  35. 13
  36. 24
  37. 9
  38. 9
  39. 10
  40. 11

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