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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 912 · 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: 5(m + 6) = 75. What is m?
  2. 2.Solve: 5t − 5 = 35. What is t?
  3. 3.Solve: 7x − 53 = 38. What is x?
  4. 4.Solve: 3p + 5 = 32. What is p?
  5. 5.Solve: 9y + 9 = 45. What is y?
  6. 6.Solve: 9t − 43 = 74. What is t?
  7. 7.Solve: 4(n + 6) = 72. What is n?
  8. 8.Isha is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  9. 9.Solve: y/4 + 1 = 15. What is y?
  10. 10.Solve: 2(t + 4) = 26. What is t?
  11. 11.Priya’s mother is four times as old as Priya. Their ages add up to 65 years. How old is Priya?
  12. 12.Solve: 8n + 25 = 41. What is n?
  13. 13.Riya is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  14. 14.Farhan thinks of a number, multiplies it by 8 and then adds 4. The result is 124. What is the number?
  15. 15.Solve: 2n + 12 = 22. What is n?
  16. 16.Nisha thinks of a number, multiplies it by 8 and then adds 11. The result is 131. What is the number?
  17. 17.Tara thinks of a number, multiplies it by 2 and then adds 14. The result is 16. What is the number?
  18. 18.Solve: 4y − 15 = 17. What is y?
  19. 19.Solve: 2p − 8 = 10. What is p?
  20. 20.Ananya thinks of a number, multiplies it by 7 and then adds 15. The result is 43. What is the number?
  21. 21.Ishaan is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  22. 22.Solve: 4(y + 2) = 20. What is y?
  23. 23.Solve: 8y − 49 = 31. What is y?
  24. 24.Solve: 9x − 25 = 56. What is x?
  25. 25.Solve: 7t + 14 = 77. What is t?
  26. 26.Solve: 2(p + 1) = 16. What is p?
  27. 27.Solve: 2y − 10 = 2. What is y?
  28. 28.Ananya is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  29. 29.Solve: y/3 + 9 = 19. What is y?
  30. 30.Solve: 3m − 8 = 10. What is m?
  31. 31.Vivaan thinks of a number, multiplies it by 4 and then adds 27. The result is 39. What is the number?
  32. 32.Solve: 3n + 20 = 53. What is n?
  33. 33.Solve: 3m − 2 = 13. What is m?
  34. 34.Solve: 6t + 22 = 76. What is t?
  35. 35.Solve: 5y − 32 = 8. What is y?
  36. 36.Solve: 5p − 1 = 54. What is p?
  37. 37.Nisha is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  38. 38.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 35 years. How old is Saanvi?
  39. 39.Riya’s mother is four times as old as Riya. Their ages add up to 65 years. How old is Riya?
  40. 40.Solve: y/9 + 2 = 12. What is y?

Answer key

  1. 9
  2. 8
  3. 13
  4. 9
  5. 4
  6. 13
  7. 12
  8. 9
  9. 56
  10. 9
  11. 13
  12. 2
  13. 9
  14. 15
  15. 5
  16. 15
  17. 1
  18. 8
  19. 9
  20. 4
  21. 5
  22. 3
  23. 10
  24. 9
  25. 9
  26. 7
  27. 6
  28. 13
  29. 30
  30. 6
  31. 3
  32. 11
  33. 5
  34. 9
  35. 8
  36. 11
  37. 8
  38. 7
  39. 13
  40. 90

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