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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 957 · 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.Solve: y/5 + 5 = 7. What is y?
  2. 2.Nisha is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  3. 3.Solve: 4(y + 4) = 44. What is y?
  4. 4.Solve: 5(x + 8) = 70. What is x?
  5. 5.Solve: 7m + 14 = 21. What is m?
  6. 6.Manav is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  7. 7.Solve: 9(x + 6) = 144. What is x?
  8. 8.Solve: x/4 + 14 = 17. What is x?
  9. 9.Manav is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  10. 10.Solve: n/3 + 18 = 29. What is n?
  11. 11.Solve: 4x + 9 = 65. What is x?
  12. 12.Solve: 9x − 3 = 15. What is x?
  13. 13.Solve: 4n + 30 = 90. What is n?
  14. 14.Solve: 3p − 1 = 2. What is p?
  15. 15.Dev is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  16. 16.Solve: 3(t + 7) = 66. What is t?
  17. 17.Solve: p/3 + 17 = 32. What is p?
  18. 18.Solve: t/5 + 20 = 25. What is t?
  19. 19.Solve: p/9 + 12 = 22. What is p?
  20. 20.Solve: 5x + 5 = 45. What is x?
  21. 21.Solve: 6x + 20 = 56. What is x?
  22. 22.Solve: y/3 + 12 = 25. What is y?
  23. 23.Solve: 6t − 12 = 24. What is t?
  24. 24.Solve: 6(t + 6) = 54. What is t?
  25. 25.Isha thinks of a number, multiplies it by 6 and then adds 4. The result is 28. What is the number?
  26. 26.Solve: 9x + 6 = 105. What is x?
  27. 27.Joseph thinks of a number, multiplies it by 9 and then adds 22. The result is 58. What is the number?
  28. 28.Solve: 6p + 26 = 44. What is p?
  29. 29.Solve: 2p − 26 = 2. What is p?
  30. 30.Solve: 4n − 6 = 14. What is n?
  31. 31.Solve: 4(p + 3) = 28. What is p?
  32. 32.Solve: 5p − 4 = 1. What is p?
  33. 33.Ananya thinks of a number, multiplies it by 5 and then adds 4. The result is 14. What is the number?
  34. 34.Solve: 5(t + 2) = 20. What is t?
  35. 35.Solve: 8x − 60 = 20. What is x?
  36. 36.Solve: 3x − 6 = 21. What is x?
  37. 37.Solve: 5(n + 7) = 40. What is n?
  38. 38.Solve: p/3 + 9 = 16. What is p?
  39. 39.Solve: 7(p + 4) = 77. What is p?
  40. 40.Aarav is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?

Answer key

  1. 10
  2. 5
  3. 7
  4. 6
  5. 1
  6. 4
  7. 10
  8. 12
  9. 10
  10. 33
  11. 14
  12. 2
  13. 15
  14. 1
  15. 10
  16. 15
  17. 45
  18. 25
  19. 90
  20. 8
  21. 6
  22. 39
  23. 6
  24. 3
  25. 4
  26. 11
  27. 4
  28. 3
  29. 14
  30. 5
  31. 4
  32. 1
  33. 2
  34. 2
  35. 10
  36. 9
  37. 1
  38. 21
  39. 7
  40. 12

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