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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 255 · 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: 5y + 2 = 32. What is y?
  2. 2.Solve: 4p + 20 = 24. What is p?
  3. 3.Solve: 5x − 42 = 8. What is x?
  4. 4.Solve: 5(n + 9) = 50. What is n?
  5. 5.Nisha thinks of a number, multiplies it by 4 and then adds 23. The result is 27. What is the number?
  6. 6.Solve: 2p − 8 = 14. What is p?
  7. 7.Karan thinks of a number, multiplies it by 9 and then adds 25. The result is 70. What is the number?
  8. 8.Saanvi thinks of a number, multiplies it by 9 and then adds 20. The result is 92. What is the number?
  9. 9.Rohan is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  10. 10.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 52 years. How old is Vivaan?
  11. 11.Kavya is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  12. 12.Solve: 4t − 3 = 49. What is t?
  13. 13.Solve: 3t − 9 = 3. What is t?
  14. 14.Zoya is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  15. 15.Solve: 3t + 7 = 25. What is t?
  16. 16.Solve: p/4 + 18 = 30. What is p?
  17. 17.Solve: 7t + 19 = 103. What is t?
  18. 18.Joseph thinks of a number, multiplies it by 2 and then adds 27. The result is 45. What is the number?
  19. 19.Solve: 6p − 8 = 46. What is p?
  20. 20.Joseph thinks of a number, multiplies it by 3 and then adds 28. The result is 40. What is the number?
  21. 21.Solve: 8t − 48 = 16. What is t?
  22. 22.Solve: 3t − 27 = 15. What is t?
  23. 23.Solve: 8t + 5 = 45. What is t?
  24. 24.Solve: t/3 + 14 = 15. What is t?
  25. 25.Priya thinks of a number, multiplies it by 4 and then adds 2. The result is 54. What is the number?
  26. 26.Solve: 7(x + 3) = 77. What is x?
  27. 27.Solve: 2t + 10 = 24. What is t?
  28. 28.Meera thinks of a number, multiplies it by 7 and then adds 2. The result is 16. What is the number?
  29. 29.Pooja thinks of a number, multiplies it by 5 and then adds 21. The result is 66. What is the number?
  30. 30.Solve: p/5 + 11 = 15. What is p?
  31. 31.Farhan thinks of a number, multiplies it by 4 and then adds 11. The result is 47. What is the number?
  32. 32.Nisha is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  33. 33.Solve: 7m + 26 = 54. What is m?
  34. 34.Kavya is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  35. 35.Solve: 2(n + 4) = 16. What is n?
  36. 36.Solve: 3(y + 4) = 51. What is y?
  37. 37.Solve: 3n − 15 = 27. What is n?
  38. 38.Solve: 9n − 57 = 24. What is n?
  39. 39.Solve: 2(t + 4) = 10. What is t?
  40. 40.Solve: 4t − 12 = 36. What is t?

Answer key

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

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