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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 899 · 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: 8p + 27 = 115. What is p?
  2. 2.Solve: 6t + 10 = 46. What is t?
  3. 3.Priya thinks of a number, multiplies it by 2 and then adds 5. The result is 15. What is the number?
  4. 4.Riya thinks of a number, multiplies it by 3 and then adds 12. The result is 45. What is the number?
  5. 5.Solve: 2p + 20 = 46. What is p?
  6. 6.Arjun thinks of a number, multiplies it by 6 and then adds 8. The result is 32. What is the number?
  7. 7.Solve: 3(m + 3) = 15. What is m?
  8. 8.Solve: 6p + 7 = 85. What is p?
  9. 9.Solve: 5y + 23 = 98. What is y?
  10. 10.Manav’s mother is three times as old as Manav. Their ages add up to 24 years. How old is Manav?
  11. 11.Solve: 9m + 1 = 46. What is m?
  12. 12.Ananya thinks of a number, multiplies it by 9 and then adds 10. The result is 145. What is the number?
  13. 13.Solve: y/8 + 8 = 20. What is y?
  14. 14.Solve: 6p + 4 = 58. What is p?
  15. 15.Kavya’s mother is three times as old as Kavya. Their ages add up to 44 years. How old is Kavya?
  16. 16.Rohan thinks of a number, multiplies it by 6 and then adds 20. The result is 80. What is the number?
  17. 17.Solve: 3(m + 3) = 45. What is m?
  18. 18.Kavya thinks of a number, multiplies it by 7 and then adds 8. The result is 106. What is the number?
  19. 19.Tara thinks of a number, multiplies it by 8 and then adds 29. The result is 69. What is the number?
  20. 20.Solve: 7(m + 5) = 91. What is m?
  21. 21.Solve: 6y − 19 = 35. What is y?
  22. 22.Solve: 7t + 10 = 94. What is t?
  23. 23.Kabir thinks of a number, multiplies it by 3 and then adds 1. The result is 13. What is the number?
  24. 24.Rahul thinks of a number, multiplies it by 9 and then adds 30. The result is 66. What is the number?
  25. 25.Solve: 2(t + 8) = 22. What is t?
  26. 26.Solve: 9(n + 9) = 126. What is n?
  27. 27.Karan thinks of a number, multiplies it by 8 and then adds 4. The result is 44. What is the number?
  28. 28.Solve: 4(y + 9) = 56. What is y?
  29. 29.Vivaan thinks of a number, multiplies it by 9 and then adds 24. The result is 123. What is the number?
  30. 30.Joseph is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  31. 31.Solve: 8(n + 9) = 192. What is n?
  32. 32.Zoya is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  33. 33.Joseph’s mother is four times as old as Joseph. Their ages add up to 60 years. How old is Joseph?
  34. 34.Pooja thinks of a number, multiplies it by 8 and then adds 8. The result is 24. What is the number?
  35. 35.Solve: 6n + 9 = 87. What is n?
  36. 36.Solve: 6y + 23 = 95. What is y?
  37. 37.Solve: 9x − 2 = 34. What is x?
  38. 38.Solve: 4(x + 7) = 60. What is x?
  39. 39.Solve: n/9 + 4 = 18. What is n?
  40. 40.Solve: 5p − 18 = 42. What is p?

Answer key

  1. 11
  2. 6
  3. 5
  4. 11
  5. 13
  6. 4
  7. 2
  8. 13
  9. 15
  10. 6
  11. 5
  12. 15
  13. 96
  14. 9
  15. 11
  16. 10
  17. 12
  18. 14
  19. 5
  20. 8
  21. 9
  22. 12
  23. 4
  24. 4
  25. 3
  26. 5
  27. 5
  28. 5
  29. 11
  30. 8
  31. 15
  32. 7
  33. 12
  34. 2
  35. 13
  36. 12
  37. 4
  38. 8
  39. 126
  40. 12

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