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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 342 · 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: 5n − 6 = 9. What is n?
  2. 2.Arjun thinks of a number, multiplies it by 6 and then adds 30. The result is 42. What is the number?
  3. 3.Solve: 6t + 18 = 48. What is t?
  4. 4.Solve: t/3 + 18 = 29. What is t?
  5. 5.Solve: 3n + 21 = 24. What is n?
  6. 6.Solve: 7t + 17 = 45. What is t?
  7. 7.Solve: x/8 + 2 = 11. What is x?
  8. 8.Solve: p/2 + 11 = 18. What is p?
  9. 9.Sneha is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  10. 10.Rohan thinks of a number, multiplies it by 7 and then adds 5. The result is 110. What is the number?
  11. 11.Solve: 4x − 34 = 22. What is x?
  12. 12.Solve: 3m − 3 = 42. What is m?
  13. 13.Solve: 9p + 28 = 37. What is p?
  14. 14.Solve: 9x − 45 = 18. What is x?
  15. 15.Solve: 2x − 10 = 2. What is x?
  16. 16.Solve: 7y + 7 = 105. What is y?
  17. 17.Solve: 4n + 1 = 21. What is n?
  18. 18.Joseph thinks of a number, multiplies it by 6 and then adds 26. The result is 98. What is the number?
  19. 19.Solve: 3n − 35 = 1. What is n?
  20. 20.Karan thinks of a number, multiplies it by 7 and then adds 10. The result is 87. What is the number?
  21. 21.Solve: 2m + 30 = 38. What is m?
  22. 22.Solve: 4t + 19 = 23. What is t?
  23. 23.Solve: 6(p + 9) = 84. What is p?
  24. 24.Aarav thinks of a number, multiplies it by 3 and then adds 6. The result is 24. What is the number?
  25. 25.Nisha is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  26. 26.Solve: t/2 + 3 = 5. What is t?
  27. 27.Saanvi is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  28. 28.Solve: p/6 + 1 = 14. What is p?
  29. 29.Solve: 2y − 4 = 26. What is y?
  30. 30.Solve: 5(p + 8) = 70. What is p?
  31. 31.Solve: 5(p + 9) = 110. What is p?
  32. 32.Solve: 2y + 18 = 20. What is y?
  33. 33.Solve: 3m + 19 = 61. What is m?
  34. 34.Manav thinks of a number, multiplies it by 6 and then adds 8. The result is 98. What is the number?
  35. 35.Tara is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  36. 36.Farhan thinks of a number, multiplies it by 8 and then adds 27. The result is 35. What is the number?
  37. 37.Solve: 4(x + 5) = 52. What is x?
  38. 38.Solve: 3(n + 4) = 21. What is n?
  39. 39.Karan is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  40. 40.Solve: 7(y + 2) = 84. What is y?

Answer key

  1. 3
  2. 2
  3. 5
  4. 33
  5. 1
  6. 4
  7. 72
  8. 14
  9. 14
  10. 15
  11. 14
  12. 15
  13. 1
  14. 7
  15. 6
  16. 14
  17. 5
  18. 12
  19. 12
  20. 11
  21. 4
  22. 1
  23. 5
  24. 6
  25. 4
  26. 4
  27. 4
  28. 78
  29. 15
  30. 6
  31. 13
  32. 1
  33. 14
  34. 15
  35. 14
  36. 1
  37. 8
  38. 3
  39. 13
  40. 10

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