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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 390 · 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: 6n + 30 = 54. What is n?
  2. 2.Solve: 8t + 18 = 122. What is t?
  3. 3.Solve: 5(p + 3) = 90. What is p?
  4. 4.Solve: n/3 + 11 = 15. What is n?
  5. 5.Solve: 4t + 2 = 10. What is t?
  6. 6.Solve: 9x + 19 = 28. What is x?
  7. 7.Solve: n/5 + 1 = 9. What is n?
  8. 8.Solve: 2n − 1 = 7. What is n?
  9. 9.Rohan’s mother is twice as old as Rohan. Their ages add up to 42 years. How old is Rohan?
  10. 10.Saanvi thinks of a number, multiplies it by 5 and then adds 24. The result is 54. What is the number?
  11. 11.Solve: 5p − 14 = 6. What is p?
  12. 12.Solve: p/3 + 10 = 25. What is p?
  13. 13.Solve: 7(m + 9) = 84. What is m?
  14. 14.Solve: x/3 + 8 = 14. What is x?
  15. 15.Rahul’s mother is four times as old as Rahul. Their ages add up to 75 years. How old is Rahul?
  16. 16.Solve: 5(t + 6) = 40. What is t?
  17. 17.Solve: 3y + 14 = 17. What is y?
  18. 18.Solve: 5n + 14 = 39. What is n?
  19. 19.Solve: 2(n + 9) = 38. What is n?
  20. 20.Solve: 3n + 9 = 48. What is n?
  21. 21.Solve: 3y + 3 = 12. What is y?
  22. 22.Solve: 6n − 3 = 3. What is n?
  23. 23.Solve: 3y + 16 = 43. What is y?
  24. 24.Solve: 4(p + 8) = 60. What is p?
  25. 25.Solve: 4n − 5 = 7. What is n?
  26. 26.Solve: x/6 + 1 = 8. What is x?
  27. 27.Farhan’s mother is three times as old as Farhan. Their ages add up to 40 years. How old is Farhan?
  28. 28.Solve: x/8 + 18 = 29. What is x?
  29. 29.Solve: 7x + 26 = 82. What is x?
  30. 30.Saanvi thinks of a number, multiplies it by 4 and then adds 23. The result is 75. What is the number?
  31. 31.Solve: 8x + 13 = 85. What is x?
  32. 32.Solve: 5(t + 4) = 95. What is t?
  33. 33.Solve: x/4 + 3 = 18. What is x?
  34. 34.Solve: 8(y + 7) = 144. What is y?
  35. 35.Solve: 7p − 10 = 11. What is p?
  36. 36.Solve: 8n + 1 = 105. What is n?
  37. 37.Solve: 6(p + 5) = 42. What is p?
  38. 38.Solve: 9t + 6 = 60. What is t?
  39. 39.Solve: x/7 + 1 = 2. What is x?
  40. 40.Solve: 9y − 9 = 18. What is y?

Answer key

  1. 4
  2. 13
  3. 15
  4. 12
  5. 2
  6. 1
  7. 40
  8. 4
  9. 14
  10. 6
  11. 4
  12. 45
  13. 3
  14. 18
  15. 15
  16. 2
  17. 1
  18. 5
  19. 10
  20. 13
  21. 3
  22. 1
  23. 9
  24. 7
  25. 3
  26. 42
  27. 10
  28. 88
  29. 8
  30. 13
  31. 9
  32. 15
  33. 60
  34. 11
  35. 3
  36. 13
  37. 2
  38. 6
  39. 7
  40. 3

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