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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 569 · 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: p/5 + 11 = 15. What is p?
  2. 2.Kabir thinks of a number, multiplies it by 4 and then adds 14. The result is 22. What is the number?
  3. 3.Solve: 9p − 6 = 21. What is p?
  4. 4.Solve: 9x − 14 = 13. What is x?
  5. 5.Ananya thinks of a number, multiplies it by 5 and then adds 29. The result is 44. What is the number?
  6. 6.Priya thinks of a number, multiplies it by 2 and then adds 30. The result is 54. What is the number?
  7. 7.Isha’s mother is three times as old as Isha. Their ages add up to 32 years. How old is Isha?
  8. 8.Solve: 4(t + 4) = 44. What is t?
  9. 9.Solve: 2n − 8 = 6. What is n?
  10. 10.Pooja’s mother is twice as old as Pooja. Their ages add up to 18 years. How old is Pooja?
  11. 11.Solve: t/3 + 17 = 21. What is t?
  12. 12.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 33 years. How old is Gurpreet?
  13. 13.Solve: 6y + 13 = 37. What is y?
  14. 14.Solve: 5y + 12 = 57. What is y?
  15. 15.Diya thinks of a number, multiplies it by 5 and then adds 29. The result is 89. What is the number?
  16. 16.Arjun is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  17. 17.Solve: 3t − 7 = 32. What is t?
  18. 18.Sneha’s mother is twice as old as Sneha. Their ages add up to 12 years. How old is Sneha?
  19. 19.Arjun thinks of a number, multiplies it by 6 and then adds 7. The result is 73. What is the number?
  20. 20.Solve: x/8 + 4 = 8. What is x?
  21. 21.Isha is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  22. 22.Diya thinks of a number, multiplies it by 9 and then adds 15. The result is 24. What is the number?
  23. 23.Solve: p/3 + 6 = 14. What is p?
  24. 24.Solve: 3t + 29 = 71. What is t?
  25. 25.Solve: x/3 + 4 = 13. What is x?
  26. 26.Solve: 7x − 10 = 4. What is x?
  27. 27.Kavya thinks of a number, multiplies it by 3 and then adds 21. The result is 45. What is the number?
  28. 28.Solve: 5x + 19 = 64. What is x?
  29. 29.Solve: 3x − 16 = 2. What is x?
  30. 30.Kabir thinks of a number, multiplies it by 5 and then adds 14. The result is 79. What is the number?
  31. 31.Solve: 2t − 4 = 14. What is t?
  32. 32.Solve: 5(m + 3) = 55. What is m?
  33. 33.Ananya is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  34. 34.Solve: 4x + 16 = 32. What is x?
  35. 35.Zoya thinks of a number, multiplies it by 2 and then adds 11. The result is 35. What is the number?
  36. 36.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 30 years. How old is Ishaan?
  37. 37.Solve: 9n + 5 = 122. What is n?
  38. 38.Solve: 6x − 6 = 6. What is x?
  39. 39.Solve: n/4 + 16 = 17. What is n?
  40. 40.Priya is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?

Answer key

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

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