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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 762 · 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.Riya thinks of a number, multiplies it by 6 and then adds 6. The result is 54. What is the number?
  2. 2.Solve: 6p + 8 = 50. What is p?
  3. 3.Solve: t/3 + 3 = 5. What is t?
  4. 4.Solve: 4n + 10 = 26. What is n?
  5. 5.Solve: p/2 + 10 = 15. What is p?
  6. 6.Solve: 4p − 39 = 21. What is p?
  7. 7.Zoya thinks of a number, multiplies it by 5 and then adds 13. The result is 38. What is the number?
  8. 8.Karan is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  9. 9.Solve: 2(m + 5) = 28. What is m?
  10. 10.Lakshmi thinks of a number, multiplies it by 8 and then adds 14. The result is 54. What is the number?
  11. 11.Solve: 3(y + 7) = 54. What is y?
  12. 12.Solve: 9(m + 5) = 135. What is m?
  13. 13.Solve: x/8 + 9 = 22. What is x?
  14. 14.Solve: 5(m + 9) = 80. What is m?
  15. 15.Sneha thinks of a number, multiplies it by 9 and then adds 1. The result is 73. What is the number?
  16. 16.Solve: 3x − 26 = 1. What is x?
  17. 17.Solve: 4y + 26 = 50. What is y?
  18. 18.Solve: 9x − 21 = 105. What is x?
  19. 19.Solve: 2t + 2 = 20. What is t?
  20. 20.Solve: 9n − 65 = 52. What is n?
  21. 21.Solve: 9x + 29 = 74. What is x?
  22. 22.Solve: 7(p + 6) = 133. What is p?
  23. 23.Solve: 5t − 40 = 20. What is t?
  24. 24.Solve: 6x + 13 = 31. What is x?
  25. 25.Solve: 6x − 1 = 17. What is x?
  26. 26.Solve: t/7 + 12 = 25. What is t?
  27. 27.Solve: 8x + 26 = 66. What is x?
  28. 28.Lakshmi is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  29. 29.Solve: n/3 + 17 = 28. What is n?
  30. 30.Karan thinks of a number, multiplies it by 2 and then adds 23. The result is 47. What is the number?
  31. 31.Solve: 2x − 5 = 5. What is x?
  32. 32.Gurpreet thinks of a number, multiplies it by 2 and then adds 10. The result is 30. What is the number?
  33. 33.Solve: 4(y + 4) = 40. What is y?
  34. 34.Solve: 4p − 26 = 34. What is p?
  35. 35.Solve: p/3 + 13 = 25. What is p?
  36. 36.Solve: 3t − 2 = 1. What is t?
  37. 37.Solve: 7x + 17 = 122. What is x?
  38. 38.Saanvi is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  39. 39.Solve: 3x − 43 = 2. What is x?
  40. 40.Solve: 4(x + 2) = 24. What is x?

Answer key

  1. 8
  2. 7
  3. 6
  4. 4
  5. 10
  6. 15
  7. 5
  8. 14
  9. 9
  10. 5
  11. 11
  12. 10
  13. 104
  14. 7
  15. 8
  16. 9
  17. 6
  18. 14
  19. 9
  20. 13
  21. 5
  22. 13
  23. 12
  24. 3
  25. 3
  26. 91
  27. 5
  28. 4
  29. 33
  30. 12
  31. 5
  32. 10
  33. 6
  34. 15
  35. 36
  36. 1
  37. 15
  38. 6
  39. 15
  40. 4

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