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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 810 · 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.Priya thinks of a number, multiplies it by 8 and then adds 5. The result is 125. What is the number?
  2. 2.Solve: 9t + 19 = 64. What is t?
  3. 3.Isha’s mother is twice as old as Isha. Their ages add up to 18 years. How old is Isha?
  4. 4.Solve: 6(m + 7) = 114. What is m?
  5. 5.Aditya is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  6. 6.Priya’s mother is three times as old as Priya. Their ages add up to 32 years. How old is Priya?
  7. 7.Solve: 9n − 45 = 36. What is n?
  8. 8.Riya is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  9. 9.Solve: 5y + 18 = 83. What is y?
  10. 10.Solve: 2n − 17 = 5. What is n?
  11. 11.Aarav is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  12. 12.Solve: 3t + 1 = 37. What is t?
  13. 13.Solve: y/3 + 19 = 21. What is y?
  14. 14.Farhan is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  15. 15.Solve: p/3 + 5 = 20. What is p?
  16. 16.Dev is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  17. 17.Arjun is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  18. 18.Solve: 3(y + 9) = 69. What is y?
  19. 19.Solve: 5(t + 1) = 75. What is t?
  20. 20.Solve: 3t − 7 = 38. What is t?
  21. 21.Solve: 7(p + 2) = 42. What is p?
  22. 22.Rohan thinks of a number, multiplies it by 7 and then adds 15. The result is 106. What is the number?
  23. 23.Solve: 3y + 20 = 53. What is y?
  24. 24.Solve: 7y − 60 = 3. What is y?
  25. 25.Solve: 8p − 8 = 104. What is p?
  26. 26.Ananya’s mother is three times as old as Ananya. Their ages add up to 20 years. How old is Ananya?
  27. 27.Solve: 8x + 6 = 126. What is x?
  28. 28.Solve: 7(t + 1) = 42. What is t?
  29. 29.Solve: 2(m + 6) = 14. What is m?
  30. 30.Kabir thinks of a number, multiplies it by 4 and then adds 1. The result is 17. What is the number?
  31. 31.Solve: 2p + 12 = 34. What is p?
  32. 32.Solve: 3y + 18 = 42. What is y?
  33. 33.Pooja thinks of a number, multiplies it by 4 and then adds 29. The result is 45. What is the number?
  34. 34.Solve: 5(x + 4) = 40. What is x?
  35. 35.Solve: 2(t + 9) = 48. What is t?
  36. 36.Solve: 9m − 64 = 35. What is m?
  37. 37.Nisha thinks of a number, multiplies it by 4 and then adds 18. The result is 54. What is the number?
  38. 38.Pooja is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  39. 39.Solve: 2(m + 6) = 40. What is m?
  40. 40.Solve: 3(t + 3) = 27. What is t?

Answer key

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

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