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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 197 · 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: 9p + 14 = 50. What is p?
  2. 2.Solve: 7x + 6 = 48. What is x?
  3. 3.Solve: 4y + 3 = 59. What is y?
  4. 4.Solve: 8(m + 3) = 32. What is m?
  5. 5.Solve: 7y − 6 = 15. What is y?
  6. 6.Sneha thinks of a number, multiplies it by 6 and then adds 2. The result is 26. What is the number?
  7. 7.Farhan thinks of a number, multiplies it by 6 and then adds 28. The result is 94. What is the number?
  8. 8.Solve: 8y + 22 = 94. What is y?
  9. 9.Farhan thinks of a number, multiplies it by 2 and then adds 16. The result is 26. What is the number?
  10. 10.Manav is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  11. 11.Farhan thinks of a number, multiplies it by 8 and then adds 23. The result is 103. What is the number?
  12. 12.Rahul thinks of a number, multiplies it by 5 and then adds 8. The result is 23. What is the number?
  13. 13.Solve: 7(p + 5) = 84. What is p?
  14. 14.Solve: t/3 + 1 = 16. What is t?
  15. 15.Solve: 4m − 7 = 25. What is m?
  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.Solve: 5t + 4 = 54. What is t?
  18. 18.Solve: x/4 + 11 = 18. What is x?
  19. 19.Solve: 9m − 73 = 53. What is m?
  20. 20.Solve: y/6 + 11 = 14. What is y?
  21. 21.Solve: 4t + 8 = 64. What is t?
  22. 22.Solve: 4y + 17 = 33. What is y?
  23. 23.Pooja thinks of a number, multiplies it by 2 and then adds 15. The result is 45. What is the number?
  24. 24.Solve: 9x + 14 = 77. What is x?
  25. 25.Solve: 9(y + 9) = 117. What is y?
  26. 26.Solve: y/2 + 2 = 4. What is y?
  27. 27.Solve: 8(n + 6) = 168. What is n?
  28. 28.Solve: 5(n + 5) = 75. What is n?
  29. 29.Solve: 9m + 9 = 90. What is m?
  30. 30.Solve: n/5 + 17 = 21. What is n?
  31. 31.Solve: 4(n + 2) = 40. What is n?
  32. 32.Solve: 6(y + 6) = 126. What is y?
  33. 33.Solve: 4(y + 4) = 40. What is y?
  34. 34.Zoya thinks of a number, multiplies it by 3 and then adds 1. The result is 10. What is the number?
  35. 35.Solve: 5t + 6 = 71. What is t?
  36. 36.Solve: 3t + 1 = 16. What is t?
  37. 37.Solve: 2x − 6 = 8. What is x?
  38. 38.Vivaan thinks of a number, multiplies it by 7 and then adds 23. The result is 58. What is the number?
  39. 39.Aarav thinks of a number, multiplies it by 6 and then adds 24. The result is 84. What is the number?
  40. 40.Solve: 3x + 3 = 48. What is x?

Answer key

  1. 4
  2. 6
  3. 14
  4. 1
  5. 3
  6. 4
  7. 11
  8. 9
  9. 5
  10. 4
  11. 10
  12. 3
  13. 7
  14. 45
  15. 8
  16. 15
  17. 10
  18. 28
  19. 14
  20. 18
  21. 14
  22. 4
  23. 15
  24. 7
  25. 4
  26. 4
  27. 15
  28. 10
  29. 9
  30. 20
  31. 8
  32. 15
  33. 6
  34. 3
  35. 13
  36. 5
  37. 7
  38. 5
  39. 10
  40. 15

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