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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 455 · 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: 6(y + 1) = 96. What is y?
  2. 2.Solve: 7x + 10 = 59. What is x?
  3. 3.Solve: 3y − 1 = 41. What is y?
  4. 4.Solve: 6(p + 9) = 72. What is p?
  5. 5.Solve: 2m − 12 = 4. What is m?
  6. 6.Aarav thinks of a number, multiplies it by 3 and then adds 29. The result is 59. What is the number?
  7. 7.Solve: 9y − 5 = 103. What is y?
  8. 8.Arjun thinks of a number, multiplies it by 7 and then adds 23. The result is 107. What is the number?
  9. 9.Solve: 5(y + 1) = 15. What is y?
  10. 10.Solve: 7t − 26 = 9. What is t?
  11. 11.Solve: x/3 + 13 = 14. What is x?
  12. 12.Solve: 6n + 27 = 99. What is n?
  13. 13.Solve: n/4 + 1 = 5. What is n?
  14. 14.Solve: 8p + 8 = 128. What is p?
  15. 15.Solve: 6p − 19 = 59. What is p?
  16. 16.Solve: 5n + 30 = 45. What is n?
  17. 17.Solve: 8n + 10 = 98. What is n?
  18. 18.Solve: m/5 + 14 = 17. What is m?
  19. 19.Solve: 5m + 3 = 63. What is m?
  20. 20.Solve: n/4 + 18 = 30. What is n?
  21. 21.Dev thinks of a number, multiplies it by 7 and then adds 7. The result is 49. What is the number?
  22. 22.Solve: 9p − 76 = 41. What is p?
  23. 23.Solve: m/7 + 9 = 22. What is m?
  24. 24.Solve: 3p + 16 = 43. What is p?
  25. 25.Solve: t/6 + 2 = 12. What is t?
  26. 26.Solve: p/8 + 7 = 10. What is p?
  27. 27.Ishaan thinks of a number, multiplies it by 3 and then adds 5. The result is 44. What is the number?
  28. 28.Solve: 9t − 33 = 3. What is t?
  29. 29.Solve: 9t + 20 = 128. What is t?
  30. 30.Solve: t/8 + 9 = 17. What is t?
  31. 31.Solve: 3(x + 3) = 48. What is x?
  32. 32.Kavya’s mother is twice as old as Kavya. Their ages add up to 42 years. How old is Kavya?
  33. 33.Solve: 4x − 6 = 18. What is x?
  34. 34.Solve: 3t − 14 = 4. What is t?
  35. 35.Solve: 4m + 6 = 62. What is m?
  36. 36.Solve: 2(n + 8) = 20. What is n?
  37. 37.Solve: 3(t + 9) = 48. What is t?
  38. 38.Solve: 5(n + 7) = 80. What is n?
  39. 39.Solve: 8x − 42 = 62. What is x?
  40. 40.Solve: 4(y + 8) = 84. What is y?

Answer key

  1. 15
  2. 7
  3. 14
  4. 3
  5. 8
  6. 10
  7. 12
  8. 12
  9. 2
  10. 5
  11. 3
  12. 12
  13. 16
  14. 15
  15. 13
  16. 3
  17. 11
  18. 15
  19. 12
  20. 48
  21. 6
  22. 13
  23. 91
  24. 9
  25. 60
  26. 24
  27. 13
  28. 4
  29. 12
  30. 64
  31. 13
  32. 14
  33. 6
  34. 6
  35. 14
  36. 2
  37. 7
  38. 9
  39. 13
  40. 13

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