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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 980 · 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/3 + 2 = 5. What is y?
  2. 2.Solve: n/4 + 8 = 14. What is n?
  3. 3.Solve: 3(t + 1) = 27. What is t?
  4. 4.Solve: x/8 + 19 = 23. What is x?
  5. 5.Solve: 4(x + 2) = 12. What is x?
  6. 6.Karan is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  7. 7.Rohan is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  8. 8.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 20 years. How old is Ishaan?
  9. 9.Zoya’s mother is twice as old as Zoya. Their ages add up to 45 years. How old is Zoya?
  10. 10.Solve: 2(p + 1) = 22. What is p?
  11. 11.Solve: 7m − 3 = 11. What is m?
  12. 12.Solve: 9y + 28 = 64. What is y?
  13. 13.Rohan thinks of a number, multiplies it by 5 and then adds 8. The result is 38. What is the number?
  14. 14.Solve: 8t − 43 = 45. What is t?
  15. 15.Solve: p/6 + 13 = 25. What is p?
  16. 16.Solve: 9y + 12 = 102. What is y?
  17. 17.Tara’s mother is three times as old as Tara. Their ages add up to 40 years. How old is Tara?
  18. 18.Solve: 3(n + 6) = 21. What is n?
  19. 19.Meera thinks of a number, multiplies it by 4 and then adds 24. The result is 68. What is the number?
  20. 20.Solve: 3n − 1 = 26. What is n?
  21. 21.Diya is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  22. 22.Solve: x/8 + 3 = 16. What is x?
  23. 23.Aarav thinks of a number, multiplies it by 8 and then adds 9. The result is 33. What is the number?
  24. 24.Farhan thinks of a number, multiplies it by 9 and then adds 7. The result is 88. What is the number?
  25. 25.Solve: 9n − 10 = 71. What is n?
  26. 26.Solve: 9(t + 3) = 126. What is t?
  27. 27.Solve: 3p + 28 = 46. What is p?
  28. 28.Solve: 9m − 20 = 115. What is m?
  29. 29.Tara thinks of a number, multiplies it by 2 and then adds 1. The result is 3. What is the number?
  30. 30.Solve: 7p + 2 = 107. What is p?
  31. 31.Solve: 6(n + 2) = 96. What is n?
  32. 32.Solve: y/3 + 16 = 31. What is y?
  33. 33.Solve: 4(x + 6) = 48. What is x?
  34. 34.Solve: t/4 + 1 = 9. What is t?
  35. 35.Solve: 6m − 1 = 5. What is m?
  36. 36.Solve: p/4 + 5 = 19. What is p?
  37. 37.Solve: 6y − 55 = 11. What is y?
  38. 38.Kabir thinks of a number, multiplies it by 9 and then adds 16. The result is 88. What is the number?
  39. 39.Solve: 2(n + 6) = 18. What is n?
  40. 40.Solve: t/5 + 2 = 5. What is t?

Answer key

  1. 9
  2. 24
  3. 8
  4. 32
  5. 1
  6. 6
  7. 15
  8. 4
  9. 15
  10. 10
  11. 2
  12. 4
  13. 6
  14. 11
  15. 72
  16. 10
  17. 10
  18. 1
  19. 11
  20. 9
  21. 11
  22. 104
  23. 3
  24. 9
  25. 9
  26. 11
  27. 6
  28. 15
  29. 1
  30. 15
  31. 14
  32. 45
  33. 6
  34. 32
  35. 1
  36. 56
  37. 11
  38. 8
  39. 3
  40. 15

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