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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 245 · 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 + 13 = 130. What is p?
  2. 2.Solve: 5(n + 4) = 65. What is n?
  3. 3.Sneha is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  4. 4.Ananya thinks of a number, multiplies it by 2 and then adds 30. The result is 46. What is the number?
  5. 5.Solve: 8m − 4 = 12. What is m?
  6. 6.Solve: y/4 + 7 = 13. What is y?
  7. 7.Solve: 3(p + 8) = 39. What is p?
  8. 8.Solve: x/7 + 9 = 23. What is x?
  9. 9.Solve: x/9 + 4 = 17. What is x?
  10. 10.Ananya thinks of a number, multiplies it by 9 and then adds 19. The result is 91. What is the number?
  11. 11.Solve: m/6 + 9 = 12. What is m?
  12. 12.Dev thinks of a number, multiplies it by 4 and then adds 3. The result is 7. What is the number?
  13. 13.Solve: 9t − 40 = 95. What is t?
  14. 14.Solve: t/3 + 10 = 15. What is t?
  15. 15.Solve: 6x + 3 = 39. What is x?
  16. 16.Solve: x/3 + 9 = 15. What is x?
  17. 17.Solve: 6n + 16 = 100. What is n?
  18. 18.Vivaan thinks of a number, multiplies it by 7 and then adds 8. The result is 15. What is the number?
  19. 19.Solve: x/4 + 20 = 30. What is x?
  20. 20.Solve: 3y + 30 = 54. What is y?
  21. 21.Solve: 4x + 1 = 5. What is x?
  22. 22.Diya thinks of a number, multiplies it by 9 and then adds 7. The result is 70. What is the number?
  23. 23.Solve: 7x + 3 = 87. What is x?
  24. 24.Solve: 7x − 19 = 30. What is x?
  25. 25.Solve: x/8 + 17 = 26. What is x?
  26. 26.Joseph thinks of a number, multiplies it by 6 and then adds 9. The result is 45. What is the number?
  27. 27.Solve: 7x + 16 = 107. What is x?
  28. 28.Solve: 4p − 53 = 3. What is p?
  29. 29.Zoya thinks of a number, multiplies it by 3 and then adds 2. The result is 14. What is the number?
  30. 30.Solve: 9n + 26 = 125. What is n?
  31. 31.Aarav is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  32. 32.Solve: 8n + 17 = 137. What is n?
  33. 33.Solve: 8y + 12 = 44. What is y?
  34. 34.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 18 years. How old is Vivaan?
  35. 35.Solve: 4p + 4 = 64. What is p?
  36. 36.Manav thinks of a number, multiplies it by 5 and then adds 18. The result is 33. What is the number?
  37. 37.Solve: 8(x + 6) = 56. What is x?
  38. 38.Solve: 9x + 23 = 113. What is x?
  39. 39.Solve: 7n − 47 = 30. What is n?
  40. 40.Solve: 4m + 21 = 53. What is m?

Answer key

  1. 13
  2. 9
  3. 10
  4. 8
  5. 2
  6. 24
  7. 5
  8. 98
  9. 117
  10. 8
  11. 18
  12. 1
  13. 15
  14. 15
  15. 6
  16. 18
  17. 14
  18. 1
  19. 40
  20. 8
  21. 1
  22. 7
  23. 12
  24. 7
  25. 72
  26. 6
  27. 13
  28. 14
  29. 4
  30. 11
  31. 12
  32. 15
  33. 4
  34. 6
  35. 15
  36. 3
  37. 1
  38. 10
  39. 11
  40. 8

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