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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 673 · 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: 8t + 20 = 100. What is t?
  2. 2.Solve: 8m − 67 = 53. What is m?
  3. 3.Solve: 3x + 8 = 26. What is x?
  4. 4.Solve: 6t − 11 = 1. What is t?
  5. 5.Solve: n/3 + 8 = 15. What is n?
  6. 6.Solve: 6x − 24 = 12. What is x?
  7. 7.Solve: 8y − 19 = 13. What is y?
  8. 8.Vivaan thinks of a number, multiplies it by 2 and then adds 28. The result is 42. What is the number?
  9. 9.Solve: 7(x + 4) = 35. What is x?
  10. 10.Diya is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  11. 11.Solve: 2(n + 7) = 40. What is n?
  12. 12.Solve: y/9 + 9 = 18. What is y?
  13. 13.Solve: 4(n + 6) = 52. What is n?
  14. 14.Solve: t/8 + 2 = 5. What is t?
  15. 15.Kabir is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  16. 16.Solve: 6t − 3 = 3. What is t?
  17. 17.Arjun is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  18. 18.Solve: 7(y + 2) = 28. What is y?
  19. 19.Solve: 6(m + 3) = 102. What is m?
  20. 20.Solve: 3(p + 4) = 27. What is p?
  21. 21.Solve: p/3 + 16 = 19. What is p?
  22. 22.Solve: y/4 + 18 = 21. What is y?
  23. 23.Solve: 3y + 1 = 34. What is y?
  24. 24.Diya is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  25. 25.Solve: 6x + 24 = 48. What is x?
  26. 26.Solve: 2t + 6 = 30. What is t?
  27. 27.Solve: m/8 + 2 = 13. What is m?
  28. 28.Solve: 7(x + 8) = 91. What is x?
  29. 29.Solve: 5m − 40 = 20. What is m?
  30. 30.Solve: 5(x + 1) = 10. What is x?
  31. 31.Rohan is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  32. 32.Solve: 9n + 2 = 56. What is n?
  33. 33.Solve: 9m + 27 = 90. What is m?
  34. 34.Solve: 7(y + 2) = 70. What is y?
  35. 35.Karan thinks of a number, multiplies it by 3 and then adds 4. The result is 37. What is the number?
  36. 36.Solve: 7y − 26 = 2. What is y?
  37. 37.Solve: t/6 + 16 = 28. What is t?
  38. 38.Solve: 6(m + 4) = 90. What is m?
  39. 39.Solve: p/4 + 6 = 21. What is p?
  40. 40.Solve: 3m − 10 = 2. What is m?

Answer key

  1. 10
  2. 15
  3. 6
  4. 2
  5. 21
  6. 6
  7. 4
  8. 7
  9. 1
  10. 9
  11. 13
  12. 81
  13. 7
  14. 24
  15. 7
  16. 1
  17. 10
  18. 2
  19. 14
  20. 5
  21. 9
  22. 12
  23. 11
  24. 13
  25. 4
  26. 12
  27. 88
  28. 5
  29. 12
  30. 1
  31. 6
  32. 6
  33. 7
  34. 8
  35. 11
  36. 4
  37. 72
  38. 11
  39. 60
  40. 4

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