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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 764 · 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: 6(n + 3) = 36. What is n?
  2. 2.Solve: 7(x + 7) = 56. What is x?
  3. 3.Kavya thinks of a number, multiplies it by 6 and then adds 25. The result is 55. What is the number?
  4. 4.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 33 years. How old is Vivaan?
  5. 5.Solve: 7t − 4 = 3. What is t?
  6. 6.Solve: 7t − 16 = 54. What is t?
  7. 7.Karan is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  8. 8.Solve: p/3 + 5 = 12. What is p?
  9. 9.Solve: 3y + 8 = 50. What is y?
  10. 10.Solve: 5(x + 9) = 80. What is x?
  11. 11.Solve: 8y + 10 = 90. What is y?
  12. 12.Diya is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  13. 13.Solve: 7(p + 5) = 105. What is p?
  14. 14.Solve: 7p − 29 = 76. What is p?
  15. 15.Solve: 4p − 6 = 14. What is p?
  16. 16.Solve: 6(p + 2) = 96. What is p?
  17. 17.Solve: 9n − 36 = 90. What is n?
  18. 18.Solve: 6n + 14 = 98. What is n?
  19. 19.Solve: 8y + 24 = 80. What is y?
  20. 20.Solve: t/4 + 1 = 15. What is t?
  21. 21.Solve: 7(t + 9) = 126. What is t?
  22. 22.Solve: 6(t + 3) = 30. What is t?
  23. 23.Solve: 6(x + 2) = 60. What is x?
  24. 24.Solve: 9t + 25 = 106. What is t?
  25. 25.Solve: 7(y + 8) = 119. What is y?
  26. 26.Joseph’s mother is twice as old as Joseph. Their ages add up to 45 years. How old is Joseph?
  27. 27.Kabir thinks of a number, multiplies it by 7 and then adds 15. The result is 113. What is the number?
  28. 28.Ananya’s mother is four times as old as Ananya. Their ages add up to 20 years. How old is Ananya?
  29. 29.Solve: 3n + 30 = 42. What is n?
  30. 30.Solve: 9n + 15 = 105. What is n?
  31. 31.Isha thinks of a number, multiplies it by 2 and then adds 17. The result is 23. What is the number?
  32. 32.Solve: t/3 + 8 = 23. What is t?
  33. 33.Solve: 4p − 11 = 5. What is p?
  34. 34.Solve: 4(m + 3) = 40. What is m?
  35. 35.Solve: 8n + 25 = 113. What is n?
  36. 36.Solve: 4t − 7 = 1. What is t?
  37. 37.Solve: m/7 + 8 = 16. What is m?
  38. 38.Solve: 6(n + 4) = 30. What is n?
  39. 39.Solve: 4n + 16 = 56. What is n?
  40. 40.Solve: 7t + 11 = 25. What is t?

Answer key

  1. 3
  2. 1
  3. 5
  4. 11
  5. 1
  6. 10
  7. 9
  8. 21
  9. 14
  10. 7
  11. 10
  12. 13
  13. 10
  14. 15
  15. 5
  16. 14
  17. 14
  18. 14
  19. 7
  20. 56
  21. 9
  22. 2
  23. 8
  24. 9
  25. 9
  26. 15
  27. 14
  28. 4
  29. 4
  30. 10
  31. 3
  32. 45
  33. 4
  34. 7
  35. 11
  36. 2
  37. 56
  38. 1
  39. 10
  40. 2

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