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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 880 · 40 sums
TalentJR

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.Tara thinks of a number, multiplies it by 3 and then adds 20. The result is 59. What is the number?
  2. 2.Solve: 7x − 38 = 60. What is x?
  3. 3.Solve: 8m + 3 = 91. What is m?
  4. 4.Solve: 6(y + 7) = 126. What is y?
  5. 5.Solve: 4(n + 3) = 20. What is n?
  6. 6.Solve: 4t + 18 = 58. What is t?
  7. 7.Nisha thinks of a number, multiplies it by 3 and then adds 11. The result is 14. What is the number?
  8. 8.Solve: 9n − 7 = 11. What is n?
  9. 9.Solve: 7m + 19 = 103. What is m?
  10. 10.Solve: p/2 + 7 = 20. What is p?
  11. 11.Joseph thinks of a number, multiplies it by 2 and then adds 29. The result is 41. What is the number?
  12. 12.Solve: 6m − 3 = 3. What is m?
  13. 13.Aarav is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  14. 14.Solve: x/7 + 9 = 17. What is x?
  15. 15.Solve: x/9 + 12 = 22. What is x?
  16. 16.Isha is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  17. 17.Saanvi is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  18. 18.Priya thinks of a number, multiplies it by 8 and then adds 23. The result is 135. What is the number?
  19. 19.Solve: y/8 + 17 = 27. What is y?
  20. 20.Aditya is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  21. 21.Solve: 4x − 3 = 9. What is x?
  22. 22.Isha is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  23. 23.Ananya thinks of a number, multiplies it by 3 and then adds 28. The result is 43. What is the number?
  24. 24.Diya is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  25. 25.Solve: 3t − 4 = 32. What is t?
  26. 26.Solve: 2m + 24 = 30. What is m?
  27. 27.Kavya thinks of a number, multiplies it by 8 and then adds 30. The result is 38. What is the number?
  28. 28.Solve: 3n − 10 = 2. What is n?
  29. 29.Solve: 3x − 2 = 1. What is x?
  30. 30.Solve: m/2 + 12 = 14. What is m?
  31. 31.Solve: 8x + 10 = 26. What is x?
  32. 32.Solve: 5n − 10 = 5. What is n?
  33. 33.Solve: 9m + 5 = 68. What is m?
  34. 34.Dev’s mother is twice as old as Dev. Their ages add up to 33 years. How old is Dev?
  35. 35.Solve: x/9 + 3 = 16. What is x?
  36. 36.Solve: 6x − 8 = 52. What is x?
  37. 37.Solve: 7x − 6 = 1. What is x?
  38. 38.Solve: 3(t + 7) = 39. What is t?
  39. 39.Solve: 8x − 14 = 2. What is x?
  40. 40.Solve: 2(y + 7) = 38. What is y?

Answer key

  1. 13
  2. 14
  3. 11
  4. 14
  5. 2
  6. 10
  7. 1
  8. 2
  9. 12
  10. 26
  11. 6
  12. 1
  13. 4
  14. 56
  15. 90
  16. 13
  17. 9
  18. 14
  19. 80
  20. 6
  21. 3
  22. 4
  23. 5
  24. 10
  25. 12
  26. 3
  27. 1
  28. 4
  29. 1
  30. 4
  31. 2
  32. 3
  33. 7
  34. 11
  35. 117
  36. 10
  37. 1
  38. 6
  39. 2
  40. 12

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