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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 776 · 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: 3(p + 1) = 12. What is p?
  2. 2.Nisha thinks of a number, multiplies it by 6 and then adds 8. The result is 68. What is the number?
  3. 3.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 48 years. How old is Ishaan?
  4. 4.Solve: 4n + 10 = 42. What is n?
  5. 5.Solve: 2x + 8 = 18. What is x?
  6. 6.Solve: 3y + 3 = 21. What is y?
  7. 7.Solve: 7t − 44 = 61. What is t?
  8. 8.Riya’s mother is three times as old as Riya. Their ages add up to 44 years. How old is Riya?
  9. 9.Solve: 3n − 1 = 11. What is n?
  10. 10.Solve: 8t + 2 = 106. What is t?
  11. 11.Kabir thinks of a number, multiplies it by 3 and then adds 7. The result is 43. What is the number?
  12. 12.Farhan is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  13. 13.Solve: 2n − 5 = 9. What is n?
  14. 14.Solve: 7m + 22 = 50. What is m?
  15. 15.Solve: 3n + 23 = 41. What is n?
  16. 16.Solve: 7(m + 4) = 77. What is m?
  17. 17.Solve: 3m + 5 = 11. What is m?
  18. 18.Isha is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  19. 19.Solve: 2m − 3 = 21. What is m?
  20. 20.Solve: 5(p + 8) = 80. What is p?
  21. 21.Solve: 7(p + 7) = 154. What is p?
  22. 22.Rohan is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  23. 23.Solve: 3p + 2 = 29. What is p?
  24. 24.Solve: x/2 + 4 = 11. What is x?
  25. 25.Solve: x/3 + 16 = 21. What is x?
  26. 26.Kabir is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  27. 27.Solve: 9(n + 7) = 108. What is n?
  28. 28.Solve: 2(n + 5) = 28. What is n?
  29. 29.Solve: 2n − 16 = 14. What is n?
  30. 30.Solve: 9t − 7 = 110. What is t?
  31. 31.Solve: 6t + 20 = 56. What is t?
  32. 32.Solve: 2x + 26 = 28. What is x?
  33. 33.Solve: 7(n + 8) = 126. What is n?
  34. 34.Solve: 4y + 5 = 17. What is y?
  35. 35.Solve: 7y + 12 = 26. What is y?
  36. 36.Solve: y/9 + 4 = 15. What is y?
  37. 37.Solve: 7m + 10 = 73. What is m?
  38. 38.Solve: y/9 + 17 = 24. What is y?
  39. 39.Solve: 4(m + 9) = 76. What is m?
  40. 40.Solve: x/7 + 14 = 27. What is x?

Answer key

  1. 3
  2. 10
  3. 12
  4. 8
  5. 5
  6. 6
  7. 15
  8. 11
  9. 4
  10. 13
  11. 12
  12. 12
  13. 7
  14. 4
  15. 6
  16. 7
  17. 2
  18. 14
  19. 12
  20. 8
  21. 15
  22. 15
  23. 9
  24. 14
  25. 15
  26. 10
  27. 5
  28. 9
  29. 15
  30. 13
  31. 6
  32. 1
  33. 10
  34. 3
  35. 2
  36. 99
  37. 9
  38. 63
  39. 10
  40. 91

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