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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 442 · 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: 2y − 1 = 1. What is y?
  2. 2.Solve: 8t + 2 = 10. What is t?
  3. 3.Solve: p/8 + 6 = 8. What is p?
  4. 4.Solve: 7y − 46 = 59. What is y?
  5. 5.Solve: 3x + 24 = 33. What is x?
  6. 6.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 12 years. How old is Vivaan?
  7. 7.Solve: 6(y + 1) = 30. What is y?
  8. 8.Aarav thinks of a number, multiplies it by 9 and then adds 4. The result is 76. What is the number?
  9. 9.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 60 years. How old is Saanvi?
  10. 10.Solve: x/6 + 16 = 18. What is x?
  11. 11.Solve: 6(y + 7) = 78. What is y?
  12. 12.Karan thinks of a number, multiplies it by 9 and then adds 5. The result is 59. What is the number?
  13. 13.Solve: y/6 + 6 = 9. What is y?
  14. 14.Solve: 2n + 29 = 33. What is n?
  15. 15.Solve: 4x + 8 = 16. What is x?
  16. 16.Solve: 7(t + 5) = 42. What is t?
  17. 17.Solve: 5y − 8 = 7. What is y?
  18. 18.Kavya is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  19. 19.Solve: x/7 + 11 = 19. What is x?
  20. 20.Solve: p/2 + 3 = 12. What is p?
  21. 21.Solve: 5(x + 4) = 35. What is x?
  22. 22.Solve: 8y + 20 = 140. What is y?
  23. 23.Solve: 8(n + 2) = 24. What is n?
  24. 24.Solve: 3x − 2 = 22. What is x?
  25. 25.Isha’s mother is four times as old as Isha. Their ages add up to 60 years. How old is Isha?
  26. 26.Solve: 3n + 21 = 33. What is n?
  27. 27.Solve: n/6 + 3 = 13. What is n?
  28. 28.Riya is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  29. 29.Solve: 7y + 10 = 24. What is y?
  30. 30.Kavya thinks of a number, multiplies it by 3 and then adds 12. The result is 45. What is the number?
  31. 31.Solve: 4p + 9 = 49. What is p?
  32. 32.Solve: 5x − 38 = 7. What is x?
  33. 33.Solve: y/3 + 4 = 18. What is y?
  34. 34.Solve: 2(m + 4) = 32. What is m?
  35. 35.Solve: t/5 + 15 = 23. What is t?
  36. 36.Solve: 4(x + 5) = 32. What is x?
  37. 37.Solve: 6t − 5 = 49. What is t?
  38. 38.Priya thinks of a number, multiplies it by 7 and then adds 17. The result is 115. What is the number?
  39. 39.Solve: 7t − 41 = 43. What is t?
  40. 40.Zoya is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?

Answer key

  1. 1
  2. 1
  3. 16
  4. 15
  5. 3
  6. 4
  7. 4
  8. 8
  9. 12
  10. 12
  11. 6
  12. 6
  13. 18
  14. 2
  15. 2
  16. 1
  17. 3
  18. 14
  19. 56
  20. 18
  21. 3
  22. 15
  23. 1
  24. 8
  25. 12
  26. 4
  27. 60
  28. 7
  29. 2
  30. 11
  31. 10
  32. 9
  33. 42
  34. 12
  35. 40
  36. 3
  37. 9
  38. 14
  39. 12
  40. 5

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