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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 593 · 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: 4p − 7 = 5. What is p?
  2. 2.Solve: 7t − 2 = 12. What is t?
  3. 3.Solve: 3(p + 5) = 45. What is p?
  4. 4.Isha’s mother is twice as old as Isha. Their ages add up to 21 years. How old is Isha?
  5. 5.Kabir thinks of a number, multiplies it by 5 and then adds 17. The result is 37. What is the number?
  6. 6.Solve: 8x − 25 = 63. What is x?
  7. 7.Ananya is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  8. 8.Solve: 3y + 3 = 45. What is y?
  9. 9.Solve: 2n − 1 = 3. What is n?
  10. 10.Solve: 9n − 28 = 80. What is n?
  11. 11.Solve: 2(y + 4) = 36. What is y?
  12. 12.Priya thinks of a number, multiplies it by 2 and then adds 4. The result is 16. What is the number?
  13. 13.Solve: 2t + 23 = 49. What is t?
  14. 14.Joseph thinks of a number, multiplies it by 2 and then adds 17. The result is 35. What is the number?
  15. 15.Solve: 8x + 1 = 17. What is x?
  16. 16.Solve: 7m − 2 = 33. What is m?
  17. 17.Solve: y/3 + 3 = 13. What is y?
  18. 18.Isha is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  19. 19.Ananya is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  20. 20.Pooja thinks of a number, multiplies it by 2 and then adds 30. The result is 52. What is the number?
  21. 21.Solve: 8(t + 4) = 128. What is t?
  22. 22.Ishaan thinks of a number, multiplies it by 9 and then adds 4. The result is 22. What is the number?
  23. 23.Solve: 7(x + 2) = 70. What is x?
  24. 24.Isha is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  25. 25.Solve: 5y + 15 = 45. What is y?
  26. 26.Solve: 2y + 1 = 27. What is y?
  27. 27.Solve: 4m − 4 = 12. What is m?
  28. 28.Solve: 7n + 16 = 114. What is n?
  29. 29.Aditya thinks of a number, multiplies it by 9 and then adds 24. The result is 69. What is the number?
  30. 30.Solve: 2(x + 4) = 14. What is x?
  31. 31.Solve: 3(p + 1) = 36. What is p?
  32. 32.Solve: m/6 + 6 = 13. What is m?
  33. 33.Solve: 3y + 4 = 16. What is y?
  34. 34.Solve: 5n − 22 = 3. What is n?
  35. 35.Riya thinks of a number, multiplies it by 8 and then adds 25. The result is 105. What is the number?
  36. 36.Kavya’s mother is twice as old as Kavya. Their ages add up to 21 years. How old is Kavya?
  37. 37.Solve: n/8 + 15 = 21. What is n?
  38. 38.Solve: 7(p + 7) = 112. What is p?
  39. 39.Solve: 9(t + 1) = 126. What is t?
  40. 40.Lakshmi thinks of a number, multiplies it by 3 and then adds 5. The result is 20. What is the number?

Answer key

  1. 3
  2. 2
  3. 10
  4. 7
  5. 4
  6. 11
  7. 5
  8. 14
  9. 2
  10. 12
  11. 14
  12. 6
  13. 13
  14. 9
  15. 2
  16. 5
  17. 30
  18. 15
  19. 8
  20. 11
  21. 12
  22. 2
  23. 8
  24. 5
  25. 6
  26. 13
  27. 4
  28. 14
  29. 5
  30. 3
  31. 11
  32. 42
  33. 4
  34. 5
  35. 10
  36. 7
  37. 48
  38. 9
  39. 13
  40. 5

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