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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 911 · 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.Kabir thinks of a number, multiplies it by 8 and then adds 21. The result is 53. What is the number?
  2. 2.Solve: 2t + 16 = 28. What is t?
  3. 3.Solve: 3m + 2 = 20. What is m?
  4. 4.Solve: y/2 + 5 = 16. What is y?
  5. 5.Solve: 9p + 7 = 142. What is p?
  6. 6.Vivaan thinks of a number, multiplies it by 8 and then adds 28. The result is 132. What is the number?
  7. 7.Solve: 4x − 5 = 27. What is x?
  8. 8.Solve: 4(y + 5) = 40. What is y?
  9. 9.Solve: y/6 + 3 = 17. What is y?
  10. 10.Solve: 5(x + 6) = 40. What is x?
  11. 11.Rohan thinks of a number, multiplies it by 6 and then adds 28. The result is 64. What is the number?
  12. 12.Solve: p/4 + 1 = 4. What is p?
  13. 13.Solve: 5m + 7 = 52. What is m?
  14. 14.Solve: x/6 + 14 = 25. What is x?
  15. 15.Solve: 6(m + 6) = 54. What is m?
  16. 16.Ananya thinks of a number, multiplies it by 5 and then adds 17. The result is 72. What is the number?
  17. 17.Tara is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  18. 18.Solve: 2t + 15 = 37. What is t?
  19. 19.Solve: 2y + 2 = 22. What is y?
  20. 20.Aarav’s mother is three times as old as Aarav. Their ages add up to 16 years. How old is Aarav?
  21. 21.Solve: 3t + 13 = 28. What is t?
  22. 22.Solve: 5(y + 4) = 75. What is y?
  23. 23.Solve: x/5 + 7 = 12. What is x?
  24. 24.Solve: t/2 + 12 = 26. What is t?
  25. 25.Solve: 7y − 15 = 27. What is y?
  26. 26.Priya thinks of a number, multiplies it by 4 and then adds 10. The result is 30. What is the number?
  27. 27.Dev is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  28. 28.Solve: 8m − 18 = 6. What is m?
  29. 29.Solve: 2m + 30 = 60. What is m?
  30. 30.Solve: 2(n + 3) = 34. What is n?
  31. 31.Solve: t/7 + 10 = 23. What is t?
  32. 32.Solve: 9y + 2 = 119. What is y?
  33. 33.Gurpreet is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  34. 34.Gurpreet thinks of a number, multiplies it by 8 and then adds 15. The result is 23. What is the number?
  35. 35.Vivaan is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  36. 36.Solve: 9p + 18 = 45. What is p?
  37. 37.Solve: t/5 + 1 = 10. What is t?
  38. 38.Solve: m/4 + 3 = 5. What is m?
  39. 39.Solve: 4(n + 6) = 76. What is n?
  40. 40.Solve: 3m + 4 = 31. What is m?

Answer key

  1. 4
  2. 6
  3. 6
  4. 22
  5. 15
  6. 13
  7. 8
  8. 5
  9. 84
  10. 2
  11. 6
  12. 12
  13. 9
  14. 66
  15. 3
  16. 11
  17. 13
  18. 11
  19. 10
  20. 4
  21. 5
  22. 11
  23. 25
  24. 28
  25. 6
  26. 5
  27. 7
  28. 3
  29. 15
  30. 14
  31. 91
  32. 13
  33. 7
  34. 1
  35. 15
  36. 3
  37. 45
  38. 8
  39. 13
  40. 9

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