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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 28 · 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: 8(y + 5) = 104. What is y?
  2. 2.Solve: 8(x + 2) = 72. What is x?
  3. 3.Solve: 2(m + 7) = 16. What is m?
  4. 4.Solve: 3x + 16 = 61. What is x?
  5. 5.Solve: 6x − 8 = 4. What is x?
  6. 6.Solve: y/6 + 19 = 20. What is y?
  7. 7.Solve: 5t + 14 = 19. What is t?
  8. 8.Manav thinks of a number, multiplies it by 6 and then adds 9. The result is 81. What is the number?
  9. 9.Solve: t/4 + 10 = 16. What is t?
  10. 10.Solve: n/7 + 9 = 21. What is n?
  11. 11.Arjun is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  12. 12.Solve: 8(t + 9) = 168. What is t?
  13. 13.Zoya is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  14. 14.Pooja is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  15. 15.Solve: 7x − 1 = 97. What is x?
  16. 16.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 30 years. How old is Gurpreet?
  17. 17.Sneha thinks of a number, multiplies it by 5 and then adds 10. The result is 15. What is the number?
  18. 18.Solve: p/6 + 9 = 21. What is p?
  19. 19.Solve: x/8 + 18 = 27. What is x?
  20. 20.Solve: 3p + 22 = 34. What is p?
  21. 21.Solve: n/3 + 9 = 11. What is n?
  22. 22.Solve: 5(x + 9) = 115. What is x?
  23. 23.Solve: 7t + 5 = 61. What is t?
  24. 24.Solve: 5(x + 9) = 120. What is x?
  25. 25.Solve: 6y − 13 = 47. What is y?
  26. 26.Solve: t/4 + 6 = 13. What is t?
  27. 27.Farhan’s mother is twice as old as Farhan. Their ages add up to 42 years. How old is Farhan?
  28. 28.Solve: 7m − 9 = 12. What is m?
  29. 29.Arjun thinks of a number, multiplies it by 7 and then adds 9. The result is 114. What is the number?
  30. 30.Nisha is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  31. 31.Kabir’s mother is twice as old as Kabir. Their ages add up to 15 years. How old is Kabir?
  32. 32.Solve: 8p − 28 = 36. What is p?
  33. 33.Zoya is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  34. 34.Solve: t/6 + 6 = 17. What is t?
  35. 35.Solve: 7t + 17 = 80. What is t?
  36. 36.Ananya thinks of a number, multiplies it by 2 and then adds 19. The result is 39. What is the number?
  37. 37.Solve: 7x − 22 = 76. What is x?
  38. 38.Rahul thinks of a number, multiplies it by 5 and then adds 5. The result is 80. What is the number?
  39. 39.Solve: 6p − 50 = 10. What is p?
  40. 40.Solve: 5(t + 8) = 95. What is t?

Answer key

  1. 8
  2. 7
  3. 1
  4. 15
  5. 2
  6. 6
  7. 1
  8. 12
  9. 24
  10. 84
  11. 5
  12. 12
  13. 14
  14. 7
  15. 14
  16. 6
  17. 1
  18. 72
  19. 72
  20. 4
  21. 6
  22. 14
  23. 8
  24. 15
  25. 10
  26. 28
  27. 14
  28. 3
  29. 15
  30. 11
  31. 5
  32. 8
  33. 13
  34. 66
  35. 9
  36. 10
  37. 14
  38. 15
  39. 10
  40. 11

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