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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 872 · 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.Meera’s mother is twice as old as Meera. Their ages add up to 15 years. How old is Meera?
  2. 2.Solve: p/3 + 3 = 11. What is p?
  3. 3.Lakshmi thinks of a number, multiplies it by 3 and then adds 8. The result is 44. What is the number?
  4. 4.Solve: y/2 + 6 = 14. What is y?
  5. 5.Zoya is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  6. 6.Solve: 4m + 5 = 49. What is m?
  7. 7.Solve: x/4 + 16 = 17. What is x?
  8. 8.Solve: 9(t + 9) = 126. What is t?
  9. 9.Solve: 4(x + 2) = 32. What is x?
  10. 10.Solve: m/7 + 5 = 20. What is m?
  11. 11.Riya is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  12. 12.Solve: 9(t + 8) = 81. What is t?
  13. 13.Solve: 8x − 6 = 2. What is x?
  14. 14.Solve: 9(p + 8) = 198. What is p?
  15. 15.Zoya’s mother is three times as old as Zoya. Their ages add up to 36 years. How old is Zoya?
  16. 16.Solve: 7(y + 7) = 140. What is y?
  17. 17.Kabir is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  18. 18.Solve: 2x + 2 = 16. What is x?
  19. 19.Solve: 9p + 19 = 136. What is p?
  20. 20.Solve: 5y + 19 = 64. What is y?
  21. 21.Solve: 3(m + 2) = 33. What is m?
  22. 22.Isha is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  23. 23.Aditya is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  24. 24.Solve: 5n + 20 = 90. What is n?
  25. 25.Gurpreet thinks of a number, multiplies it by 5 and then adds 19. The result is 89. What is the number?
  26. 26.Solve: 6p − 67 = 23. What is p?
  27. 27.Solve: 2t + 24 = 26. What is t?
  28. 28.Solve: y/5 + 20 = 23. What is y?
  29. 29.Karan is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  30. 30.Arjun is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  31. 31.Aditya thinks of a number, multiplies it by 3 and then adds 25. The result is 37. What is the number?
  32. 32.Solve: 6t − 46 = 44. What is t?
  33. 33.Solve: 9n + 3 = 84. What is n?
  34. 34.Kavya thinks of a number, multiplies it by 7 and then adds 20. The result is 48. What is the number?
  35. 35.Solve: 9t − 11 = 16. What is t?
  36. 36.Solve: 9t + 18 = 90. What is t?
  37. 37.Rohan’s mother is twice as old as Rohan. Their ages add up to 12 years. How old is Rohan?
  38. 38.Solve: 6x + 27 = 45. What is x?
  39. 39.Karan’s mother is four times as old as Karan. Their ages add up to 60 years. How old is Karan?
  40. 40.Pooja thinks of a number, multiplies it by 3 and then adds 6. The result is 39. What is the number?

Answer key

  1. 5
  2. 24
  3. 12
  4. 16
  5. 11
  6. 11
  7. 4
  8. 5
  9. 6
  10. 105
  11. 8
  12. 1
  13. 1
  14. 14
  15. 9
  16. 13
  17. 6
  18. 7
  19. 13
  20. 9
  21. 9
  22. 6
  23. 6
  24. 14
  25. 14
  26. 15
  27. 1
  28. 15
  29. 8
  30. 5
  31. 4
  32. 15
  33. 9
  34. 4
  35. 3
  36. 8
  37. 4
  38. 3
  39. 12
  40. 11

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