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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 269 · 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: 9t − 85 = 14. What is t?
  2. 2.Solve: 4t + 1 = 49. What is t?
  3. 3.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 28 years. How old is Vivaan?
  4. 4.Solve: 5x − 43 = 12. What is x?
  5. 5.Solve: 2p + 27 = 41. What is p?
  6. 6.Farhan is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  7. 7.Meera thinks of a number, multiplies it by 7 and then adds 4. The result is 95. What is the number?
  8. 8.Solve: 2m − 6 = 20. What is m?
  9. 9.Solve: 5m + 9 = 24. What is m?
  10. 10.Solve: 8n + 5 = 101. What is n?
  11. 11.Rohan thinks of a number, multiplies it by 5 and then adds 22. The result is 57. What is the number?
  12. 12.Solve: 3p + 17 = 32. What is p?
  13. 13.Solve: 2(y + 4) = 28. What is y?
  14. 14.Kavya is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  15. 15.Solve: 5t − 19 = 16. What is t?
  16. 16.Kavya thinks of a number, multiplies it by 9 and then adds 23. The result is 122. What is the number?
  17. 17.Isha’s mother is three times as old as Isha. Their ages add up to 44 years. How old is Isha?
  18. 18.Solve: 5t − 9 = 1. What is t?
  19. 19.Solve: 3t − 1 = 2. What is t?
  20. 20.Solve: 3t − 15 = 27. What is t?
  21. 21.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 20 years. How old is Gurpreet?
  22. 22.Riya’s mother is four times as old as Riya. Their ages add up to 40 years. How old is Riya?
  23. 23.Solve: 9y − 20 = 16. What is y?
  24. 24.Solve: n/8 + 15 = 20. What is n?
  25. 25.Solve: 8y + 4 = 36. What is y?
  26. 26.Solve: y/2 + 16 = 26. What is y?
  27. 27.Meera thinks of a number, multiplies it by 6 and then adds 23. The result is 53. What is the number?
  28. 28.Solve: y/6 + 4 = 14. What is y?
  29. 29.Solve: 7(y + 7) = 70. What is y?
  30. 30.Karan’s mother is twice as old as Karan. Their ages add up to 39 years. How old is Karan?
  31. 31.Solve: 4m + 30 = 66. What is m?
  32. 32.Solve: 5p − 10 = 5. What is p?
  33. 33.Manav thinks of a number, multiplies it by 2 and then adds 12. The result is 16. What is the number?
  34. 34.Solve: 3p − 4 = 38. What is p?
  35. 35.Solve: 6p + 5 = 29. What is p?
  36. 36.Solve: 7(n + 2) = 56. What is n?
  37. 37.Solve: 9n + 4 = 13. What is n?
  38. 38.Solve: 9t + 3 = 138. What is t?
  39. 39.Solve: 6t − 24 = 48. What is t?
  40. 40.Farhan thinks of a number, multiplies it by 6 and then adds 4. The result is 64. What is the number?

Answer key

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

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