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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 805 · 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 − 5 = 3. What is t?
  2. 2.Solve: 2x − 1 = 27. What is x?
  3. 3.Nisha thinks of a number, multiplies it by 3 and then adds 16. The result is 22. What is the number?
  4. 4.Riya’s mother is four times as old as Riya. Their ages add up to 75 years. How old is Riya?
  5. 5.Rahul thinks of a number, multiplies it by 4 and then adds 2. The result is 6. What is the number?
  6. 6.Solve: 9(m + 9) = 144. What is m?
  7. 7.Solve: 5p − 15 = 10. What is p?
  8. 8.Aarav is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  9. 9.Manav thinks of a number, multiplies it by 6 and then adds 16. The result is 100. What is the number?
  10. 10.Ananya thinks of a number, multiplies it by 4 and then adds 27. The result is 75. What is the number?
  11. 11.Meera thinks of a number, multiplies it by 6 and then adds 6. The result is 90. What is the number?
  12. 12.Diya’s mother is twice as old as Diya. Their ages add up to 12 years. How old is Diya?
  13. 13.Solve: 7y − 68 = 9. What is y?
  14. 14.Solve: 5(m + 1) = 10. What is m?
  15. 15.Solve: 4(m + 6) = 40. What is m?
  16. 16.Solve: 5n + 13 = 68. What is n?
  17. 17.Solve: 9t − 52 = 29. What is t?
  18. 18.Solve: 2m − 14 = 12. What is m?
  19. 19.Diya thinks of a number, multiplies it by 8 and then adds 8. The result is 128. What is the number?
  20. 20.Solve: 8y + 2 = 10. What is y?
  21. 21.Solve: 5(n + 3) = 40. What is n?
  22. 22.Aditya is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  23. 23.Solve: 6n − 45 = 21. What is n?
  24. 24.Lakshmi thinks of a number, multiplies it by 8 and then adds 10. The result is 82. What is the number?
  25. 25.Solve: 8n + 8 = 80. What is n?
  26. 26.Priya thinks of a number, multiplies it by 7 and then adds 25. The result is 123. What is the number?
  27. 27.Solve: 4n − 1 = 3. What is n?
  28. 28.Solve: 4t − 11 = 45. What is t?
  29. 29.Solve: 7(m + 4) = 84. What is m?
  30. 30.Diya is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  31. 31.Farhan thinks of a number, multiplies it by 4 and then adds 6. The result is 38. What is the number?
  32. 32.Solve: 6x + 8 = 68. What is x?
  33. 33.Solve: m/7 + 1 = 13. What is m?
  34. 34.Solve: 3x − 19 = 8. What is x?
  35. 35.Solve: 9(x + 8) = 162. What is x?
  36. 36.Solve: 2(t + 2) = 30. What is t?
  37. 37.Solve: 6t + 21 = 57. What is t?
  38. 38.Solve: 7p + 12 = 103. What is p?
  39. 39.Solve: x/8 + 12 = 14. What is x?
  40. 40.Manav thinks of a number, multiplies it by 4 and then adds 30. The result is 54. What is the number?

Answer key

  1. 1
  2. 14
  3. 2
  4. 15
  5. 1
  6. 7
  7. 5
  8. 14
  9. 14
  10. 12
  11. 14
  12. 4
  13. 11
  14. 1
  15. 4
  16. 11
  17. 9
  18. 13
  19. 15
  20. 1
  21. 5
  22. 9
  23. 11
  24. 9
  25. 9
  26. 14
  27. 1
  28. 14
  29. 8
  30. 7
  31. 8
  32. 10
  33. 84
  34. 9
  35. 10
  36. 13
  37. 6
  38. 13
  39. 16
  40. 6

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