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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 968 · 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: 4(x + 3) = 72. What is x?
  2. 2.Solve: p/3 + 2 = 16. What is p?
  3. 3.Solve: n/6 + 3 = 12. What is n?
  4. 4.Solve: x/5 + 3 = 16. What is x?
  5. 5.Solve: 6(m + 6) = 78. What is m?
  6. 6.Solve: 2p + 6 = 28. What is p?
  7. 7.Solve: 7n − 56 = 7. What is n?
  8. 8.Solve: 6t + 12 = 42. What is t?
  9. 9.Solve: 5y + 21 = 41. What is y?
  10. 10.Gurpreet thinks of a number, multiplies it by 9 and then adds 27. The result is 126. What is the number?
  11. 11.Karan’s mother is three times as old as Karan. Their ages add up to 60 years. How old is Karan?
  12. 12.Solve: n/7 + 17 = 27. What is n?
  13. 13.Solve: 6t + 9 = 21. What is t?
  14. 14.Ananya thinks of a number, multiplies it by 5 and then adds 2. The result is 17. What is the number?
  15. 15.Joseph thinks of a number, multiplies it by 3 and then adds 6. The result is 12. What is the number?
  16. 16.Solve: x/6 + 5 = 10. What is x?
  17. 17.Solve: 9y − 14 = 94. What is y?
  18. 18.Solve: 4(x + 9) = 60. What is x?
  19. 19.Solve: x/2 + 2 = 17. What is x?
  20. 20.Solve: 8(n + 5) = 80. What is n?
  21. 21.Solve: 8x − 18 = 6. What is x?
  22. 22.Solve: 3(n + 1) = 9. What is n?
  23. 23.Solve: 4x + 6 = 26. What is x?
  24. 24.Solve: 4m − 22 = 10. What is m?
  25. 25.Solve: 4x − 2 = 26. What is x?
  26. 26.Isha is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  27. 27.Arjun is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  28. 28.Solve: 6t − 6 = 18. What is t?
  29. 29.Solve: 6x + 4 = 88. What is x?
  30. 30.Priya’s mother is four times as old as Priya. Their ages add up to 50 years. How old is Priya?
  31. 31.Solve: 9p + 22 = 67. What is p?
  32. 32.Solve: y/5 + 4 = 6. What is y?
  33. 33.Saanvi thinks of a number, multiplies it by 3 and then adds 5. The result is 50. What is the number?
  34. 34.Solve: 9(y + 1) = 45. What is y?
  35. 35.Solve: 3y + 12 = 24. What is y?
  36. 36.Rohan is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  37. 37.Solve: 3(y + 3) = 24. What is y?
  38. 38.Farhan thinks of a number, multiplies it by 3 and then adds 8. The result is 23. What is the number?
  39. 39.Solve: 3(y + 2) = 15. What is y?
  40. 40.Rahul is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?

Answer key

  1. 15
  2. 42
  3. 54
  4. 65
  5. 7
  6. 11
  7. 9
  8. 5
  9. 4
  10. 11
  11. 15
  12. 70
  13. 2
  14. 3
  15. 2
  16. 30
  17. 12
  18. 6
  19. 30
  20. 5
  21. 3
  22. 2
  23. 5
  24. 8
  25. 7
  26. 5
  27. 8
  28. 4
  29. 14
  30. 10
  31. 5
  32. 10
  33. 15
  34. 4
  35. 4
  36. 10
  37. 5
  38. 5
  39. 3
  40. 10

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