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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 914 · 40 sums
TalentJR

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: 3m + 8 = 17. What is m?
  2. 2.Solve: 8p − 20 = 44. What is p?
  3. 3.Solve: 4y + 28 = 72. What is y?
  4. 4.Arjun’s mother is three times as old as Arjun. Their ages add up to 16 years. How old is Arjun?
  5. 5.Arjun is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  6. 6.Farhan is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  7. 7.Gurpreet is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  8. 8.Solve: 8(t + 5) = 128. What is t?
  9. 9.Solve: 6n + 16 = 88. What is n?
  10. 10.Solve: 2x − 1 = 7. What is x?
  11. 11.Solve: 9t − 4 = 5. What is t?
  12. 12.Diya’s mother is three times as old as Diya. Their ages add up to 40 years. How old is Diya?
  13. 13.Kavya thinks of a number, multiplies it by 4 and then adds 27. The result is 55. What is the number?
  14. 14.Solve: 3p − 23 = 19. What is p?
  15. 15.Aditya thinks of a number, multiplies it by 5 and then adds 4. The result is 59. What is the number?
  16. 16.Solve: 5(x + 7) = 110. What is x?
  17. 17.Solve: 4p − 25 = 7. What is p?
  18. 18.Solve: 4(y + 1) = 28. What is y?
  19. 19.Gurpreet is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  20. 20.Solve: 5x − 2 = 48. What is x?
  21. 21.Solve: x/4 + 4 = 5. What is x?
  22. 22.Solve: 4t − 35 = 17. What is t?
  23. 23.Solve: 5(t + 7) = 40. What is t?
  24. 24.Rahul thinks of a number, multiplies it by 3 and then adds 23. The result is 68. What is the number?
  25. 25.Solve: 8y − 57 = 31. What is y?
  26. 26.Ananya’s mother is three times as old as Ananya. Their ages add up to 28 years. How old is Ananya?
  27. 27.Solve: 7(x + 2) = 98. What is x?
  28. 28.Vivaan thinks of a number, multiplies it by 8 and then adds 5. The result is 93. What is the number?
  29. 29.Solve: 4x + 27 = 59. What is x?
  30. 30.Solve: 9p − 17 = 1. What is p?
  31. 31.Solve: 9m + 9 = 36. What is m?
  32. 32.Solve: 4p + 5 = 61. What is p?
  33. 33.Solve: 8t + 2 = 114. What is t?
  34. 34.Solve: 8x − 90 = 22. What is x?
  35. 35.Solve: 6(m + 6) = 102. What is m?
  36. 36.Solve: n/4 + 2 = 12. What is n?
  37. 37.Solve: 6p + 7 = 55. What is p?
  38. 38.Solve: 9t − 28 = 26. What is t?
  39. 39.Solve: m/3 + 3 = 7. What is m?
  40. 40.Solve: 3y + 8 = 44. What is y?

Answer key

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

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