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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 566 · 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: 4x + 7 = 31. What is x?
  2. 2.Solve: 7(n + 8) = 63. What is n?
  3. 3.Solve: 8(t + 6) = 152. What is t?
  4. 4.Solve: 5y + 23 = 43. What is y?
  5. 5.Solve: n/2 + 9 = 22. What is n?
  6. 6.Solve: 2n + 5 = 23. What is n?
  7. 7.Solve: 8(p + 2) = 80. What is p?
  8. 8.Solve: 2m + 27 = 57. What is m?
  9. 9.Solve: y/5 + 13 = 15. What is y?
  10. 10.Solve: x/4 + 7 = 12. What is x?
  11. 11.Joseph is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  12. 12.Solve: n/8 + 18 = 26. What is n?
  13. 13.Solve: x/9 + 3 = 12. What is x?
  14. 14.Aarav thinks of a number, multiplies it by 6 and then adds 6. The result is 96. What is the number?
  15. 15.Solve: 9x + 24 = 123. What is x?
  16. 16.Isha’s mother is three times as old as Isha. Their ages add up to 16 years. How old is Isha?
  17. 17.Kabir thinks of a number, multiplies it by 8 and then adds 8. The result is 64. What is the number?
  18. 18.Tara is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  19. 19.Solve: 4m + 13 = 69. What is m?
  20. 20.Tara is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  21. 21.Aditya thinks of a number, multiplies it by 2 and then adds 17. The result is 25. What is the number?
  22. 22.Solve: m/8 + 15 = 21. What is m?
  23. 23.Dev’s mother is twice as old as Dev. Their ages add up to 33 years. How old is Dev?
  24. 24.Saanvi is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  25. 25.Pooja is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  26. 26.Solve: 9x + 25 = 97. What is x?
  27. 27.Solve: 7(t + 4) = 133. What is t?
  28. 28.Solve: 9(y + 9) = 216. What is y?
  29. 29.Solve: 5(t + 5) = 45. What is t?
  30. 30.Solve: 3m + 15 = 39. What is m?
  31. 31.Solve: 7n + 21 = 28. What is n?
  32. 32.Arjun’s mother is twice as old as Arjun. Their ages add up to 42 years. How old is Arjun?
  33. 33.Solve: 2(m + 8) = 46. What is m?
  34. 34.Aditya is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  35. 35.Solve: 8p + 16 = 24. What is p?
  36. 36.Solve: 6p + 2 = 86. What is p?
  37. 37.Solve: 7(t + 2) = 21. What is t?
  38. 38.Solve: 8n + 7 = 95. What is n?
  39. 39.Solve: n/5 + 20 = 33. What is n?
  40. 40.Solve: p/5 + 19 = 21. What is p?

Answer key

  1. 6
  2. 1
  3. 13
  4. 4
  5. 26
  6. 9
  7. 8
  8. 15
  9. 10
  10. 20
  11. 6
  12. 64
  13. 81
  14. 15
  15. 11
  16. 4
  17. 7
  18. 14
  19. 14
  20. 5
  21. 4
  22. 48
  23. 11
  24. 11
  25. 13
  26. 8
  27. 15
  28. 15
  29. 4
  30. 8
  31. 1
  32. 14
  33. 15
  34. 6
  35. 1
  36. 14
  37. 1
  38. 11
  39. 65
  40. 10

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