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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 830 · 40 sums
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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: 2n − 8 = 4. What is n?
  2. 2.Solve: 4(t + 9) = 52. What is t?
  3. 3.Solve: 8p + 8 = 32. What is p?
  4. 4.Solve: 7x − 19 = 44. What is x?
  5. 5.Solve: 6p + 12 = 30. What is p?
  6. 6.Zoya’s mother is four times as old as Zoya. Their ages add up to 60 years. How old is Zoya?
  7. 7.Solve: 9t + 9 = 27. What is t?
  8. 8.Solve: 8m − 24 = 16. What is m?
  9. 9.Solve: y/6 + 9 = 14. What is y?
  10. 10.Solve: 8n + 4 = 92. What is n?
  11. 11.Solve: 8(n + 2) = 120. What is n?
  12. 12.Solve: 2p + 10 = 22. What is p?
  13. 13.Diya thinks of a number, multiplies it by 6 and then adds 2. The result is 50. What is the number?
  14. 14.Solve: 3t − 2 = 1. What is t?
  15. 15.Solve: 5(y + 1) = 40. What is y?
  16. 16.Solve: 3p + 9 = 54. What is p?
  17. 17.Solve: 3t − 4 = 5. What is t?
  18. 18.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 52 years. How old is Gurpreet?
  19. 19.Ananya is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  20. 20.Solve: 6(n + 6) = 60. What is n?
  21. 21.Solve: 4x − 32 = 12. What is x?
  22. 22.Karan thinks of a number, multiplies it by 2 and then adds 19. The result is 27. What is the number?
  23. 23.Joseph’s mother is twice as old as Joseph. Their ages add up to 45 years. How old is Joseph?
  24. 24.Solve: p/4 + 3 = 12. What is p?
  25. 25.Solve: x/8 + 7 = 22. What is x?
  26. 26.Solve: 8(n + 7) = 168. What is n?
  27. 27.Solve: 8y + 24 = 112. What is y?
  28. 28.Solve: y/2 + 5 = 13. What is y?
  29. 29.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 12 years. How old is Vivaan?
  30. 30.Aditya thinks of a number, multiplies it by 7 and then adds 21. The result is 126. What is the number?
  31. 31.Solve: x/4 + 2 = 8. What is x?
  32. 32.Karan thinks of a number, multiplies it by 9 and then adds 20. The result is 56. What is the number?
  33. 33.Aditya’s mother is four times as old as Aditya. Their ages add up to 25 years. How old is Aditya?
  34. 34.Sneha thinks of a number, multiplies it by 8 and then adds 27. The result is 107. What is the number?
  35. 35.Arjun is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  36. 36.Aarav is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  37. 37.Solve: m/4 + 12 = 16. What is m?
  38. 38.Arjun thinks of a number, multiplies it by 5 and then adds 12. The result is 82. What is the number?
  39. 39.Farhan thinks of a number, multiplies it by 6 and then adds 19. The result is 103. What is the number?
  40. 40.Solve: 7(t + 6) = 119. What is t?

Answer key

  1. 6
  2. 4
  3. 3
  4. 9
  5. 3
  6. 12
  7. 2
  8. 5
  9. 30
  10. 11
  11. 13
  12. 6
  13. 8
  14. 1
  15. 7
  16. 15
  17. 3
  18. 13
  19. 5
  20. 4
  21. 11
  22. 4
  23. 15
  24. 36
  25. 120
  26. 14
  27. 11
  28. 16
  29. 4
  30. 15
  31. 24
  32. 4
  33. 5
  34. 10
  35. 4
  36. 4
  37. 16
  38. 14
  39. 14
  40. 11

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