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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 849 · 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.Priya’s mother is four times as old as Priya. Their ages add up to 50 years. How old is Priya?
  2. 2.Solve: 5(y + 7) = 80. What is y?
  3. 3.Solve: 6(y + 3) = 90. What is y?
  4. 4.Solve: y/2 + 18 = 28. What is y?
  5. 5.Solve: 3n − 5 = 13. What is n?
  6. 6.Farhan thinks of a number, multiplies it by 5 and then adds 15. The result is 85. What is the number?
  7. 7.Solve: 5p − 7 = 13. What is p?
  8. 8.Joseph thinks of a number, multiplies it by 8 and then adds 25. The result is 73. What is the number?
  9. 9.Solve: 8n − 13 = 107. What is n?
  10. 10.Solve: y/9 + 9 = 20. What is y?
  11. 11.Solve: 8(x + 5) = 48. What is x?
  12. 12.Solve: 4m + 22 = 38. What is m?
  13. 13.Meera is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  14. 14.Rohan thinks of a number, multiplies it by 2 and then adds 29. The result is 45. What is the number?
  15. 15.Solve: 4(p + 1) = 28. What is p?
  16. 16.Solve: 5x + 13 = 23. What is x?
  17. 17.Solve: t/3 + 1 = 2. What is t?
  18. 18.Solve: y/3 + 5 = 20. What is y?
  19. 19.Solve: p/4 + 20 = 30. What is p?
  20. 20.Solve: m/7 + 1 = 5. What is m?
  21. 21.Solve: 6(m + 3) = 36. What is m?
  22. 22.Kavya’s mother is three times as old as Kavya. Their ages add up to 48 years. How old is Kavya?
  23. 23.Aditya thinks of a number, multiplies it by 5 and then adds 4. The result is 74. What is the number?
  24. 24.Solve: n/6 + 1 = 11. What is n?
  25. 25.Zoya thinks of a number, multiplies it by 9 and then adds 17. The result is 26. What is the number?
  26. 26.Kavya is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  27. 27.Gurpreet thinks of a number, multiplies it by 5 and then adds 28. The result is 38. What is the number?
  28. 28.Solve: 9m + 18 = 54. What is m?
  29. 29.Solve: 7(x + 7) = 70. What is x?
  30. 30.Zoya thinks of a number, multiplies it by 6 and then adds 1. The result is 31. What is the number?
  31. 31.Solve: n/5 + 18 = 27. What is n?
  32. 32.Saanvi is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  33. 33.Solve: 7(y + 2) = 42. What is y?
  34. 34.Solve: 9(m + 9) = 153. What is m?
  35. 35.Solve: 7m + 18 = 25. What is m?
  36. 36.Nisha thinks of a number, multiplies it by 4 and then adds 25. The result is 41. What is the number?
  37. 37.Solve: x/4 + 16 = 17. What is x?
  38. 38.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 30 years. How old is Ishaan?
  39. 39.Solve: 6p − 4 = 8. What is p?
  40. 40.Solve: 7y + 22 = 85. What is y?

Answer key

  1. 10
  2. 9
  3. 12
  4. 20
  5. 6
  6. 14
  7. 4
  8. 6
  9. 15
  10. 99
  11. 1
  12. 4
  13. 4
  14. 8
  15. 6
  16. 2
  17. 3
  18. 45
  19. 40
  20. 28
  21. 3
  22. 12
  23. 14
  24. 60
  25. 1
  26. 10
  27. 2
  28. 4
  29. 3
  30. 5
  31. 45
  32. 4
  33. 4
  34. 8
  35. 1
  36. 4
  37. 4
  38. 10
  39. 2
  40. 9

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