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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 144 · 40 sums
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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: 5y + 24 = 94. What is y?
  2. 2.Solve: y/2 + 11 = 13. What is y?
  3. 3.Solve: 9(y + 8) = 153. What is y?
  4. 4.Solve: 5x + 25 = 95. What is x?
  5. 5.Manav thinks of a number, multiplies it by 3 and then adds 17. The result is 38. What is the number?
  6. 6.Solve: 3n − 7 = 5. What is n?
  7. 7.Rahul’s mother is twice as old as Rahul. Their ages add up to 36 years. How old is Rahul?
  8. 8.Solve: 8(y + 6) = 104. What is y?
  9. 9.Solve: 4t + 10 = 66. What is t?
  10. 10.Solve: 3m − 7 = 32. What is m?
  11. 11.Solve: 3n + 21 = 30. What is n?
  12. 12.Solve: 3m + 30 = 75. What is m?
  13. 13.Solve: 6p − 22 = 26. What is p?
  14. 14.Nisha is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  15. 15.Solve: 4(n + 7) = 40. What is n?
  16. 16.Solve: 6(t + 1) = 24. What is t?
  17. 17.Solve: x/2 + 13 = 20. What is x?
  18. 18.Solve: 2p − 6 = 2. What is p?
  19. 19.Solve: 7m − 47 = 9. What is m?
  20. 20.Solve: 3(t + 3) = 36. What is t?
  21. 21.Solve: 3m − 4 = 5. What is m?
  22. 22.Solve: 3m − 25 = 11. What is m?
  23. 23.Solve: x/7 + 18 = 23. What is x?
  24. 24.Solve: y/9 + 1 = 16. What is y?
  25. 25.Solve: 7x + 5 = 96. What is x?
  26. 26.Solve: 8(y + 4) = 96. What is y?
  27. 27.Dev thinks of a number, multiplies it by 6 and then adds 11. The result is 29. What is the number?
  28. 28.Solve: 5(n + 7) = 100. What is n?
  29. 29.Kavya thinks of a number, multiplies it by 5 and then adds 8. The result is 23. What is the number?
  30. 30.Solve: 2n − 20 = 6. What is n?
  31. 31.Aarav thinks of a number, multiplies it by 6 and then adds 14. The result is 92. What is the number?
  32. 32.Solve: 5t + 4 = 49. What is t?
  33. 33.Isha thinks of a number, multiplies it by 8 and then adds 11. The result is 67. What is the number?
  34. 34.Vivaan thinks of a number, multiplies it by 6 and then adds 23. The result is 59. What is the number?
  35. 35.Solve: x/9 + 13 = 26. What is x?
  36. 36.Riya thinks of a number, multiplies it by 7 and then adds 25. The result is 130. What is the number?
  37. 37.Solve: 9n − 15 = 3. What is n?
  38. 38.Solve: 4x + 25 = 85. What is x?
  39. 39.Solve: 2t − 9 = 5. What is t?
  40. 40.Solve: 6p + 17 = 101. What is p?

Answer key

  1. 14
  2. 4
  3. 9
  4. 14
  5. 7
  6. 4
  7. 12
  8. 7
  9. 14
  10. 13
  11. 3
  12. 15
  13. 8
  14. 12
  15. 3
  16. 3
  17. 14
  18. 4
  19. 8
  20. 9
  21. 3
  22. 12
  23. 35
  24. 135
  25. 13
  26. 8
  27. 3
  28. 13
  29. 3
  30. 13
  31. 13
  32. 9
  33. 7
  34. 6
  35. 117
  36. 15
  37. 2
  38. 15
  39. 7
  40. 14

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