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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 370 · 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.Aarav is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  2. 2.Solve: 7(p + 2) = 28. What is p?
  3. 3.Karan thinks of a number, multiplies it by 9 and then adds 7. The result is 25. What is the number?
  4. 4.Kavya’s mother is four times as old as Kavya. Their ages add up to 35 years. How old is Kavya?
  5. 5.Solve: p/9 + 3 = 9. What is p?
  6. 6.Solve: 2x + 10 = 34. What is x?
  7. 7.Solve: 7t + 20 = 125. What is t?
  8. 8.Solve: t/4 + 15 = 18. What is t?
  9. 9.Kabir’s mother is twice as old as Kabir. Their ages add up to 39 years. How old is Kabir?
  10. 10.Solve: x/2 + 15 = 16. What is x?
  11. 11.Solve: 6(m + 5) = 78. What is m?
  12. 12.Sneha is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  13. 13.Solve: 9n + 4 = 22. What is n?
  14. 14.Solve: 8p − 44 = 20. What is p?
  15. 15.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 60 years. How old is Ishaan?
  16. 16.Tara thinks of a number, multiplies it by 7 and then adds 18. The result is 53. What is the number?
  17. 17.Solve: m/6 + 16 = 19. What is m?
  18. 18.Meera thinks of a number, multiplies it by 7 and then adds 2. The result is 107. What is the number?
  19. 19.Solve: 8(m + 1) = 32. What is m?
  20. 20.Solve: 9y − 82 = 8. What is y?
  21. 21.Solve: m/5 + 8 = 17. What is m?
  22. 22.Solve: 6m + 9 = 45. What is m?
  23. 23.Solve: n/6 + 14 = 26. What is n?
  24. 24.Zoya’s mother is four times as old as Zoya. Their ages add up to 45 years. How old is Zoya?
  25. 25.Solve: 6t − 5 = 31. What is t?
  26. 26.Priya thinks of a number, multiplies it by 8 and then adds 25. The result is 113. What is the number?
  27. 27.Farhan thinks of a number, multiplies it by 9 and then adds 29. The result is 146. What is the number?
  28. 28.Vivaan is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  29. 29.Kavya thinks of a number, multiplies it by 9 and then adds 5. The result is 95. What is the number?
  30. 30.Saanvi is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  31. 31.Diya thinks of a number, multiplies it by 6 and then adds 17. The result is 35. What is the number?
  32. 32.Solve: 9x − 104 = 13. What is x?
  33. 33.Solve: y/3 + 12 = 16. What is y?
  34. 34.Solve: x/2 + 4 = 8. What is x?
  35. 35.Solve: 3m + 13 = 55. What is m?
  36. 36.Solve: 3t + 17 = 59. What is t?
  37. 37.Solve: 2x + 25 = 47. What is x?
  38. 38.Riya is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  39. 39.Solve: 7y + 10 = 59. What is y?
  40. 40.Solve: y/8 + 20 = 22. What is y?

Answer key

  1. 8
  2. 2
  3. 2
  4. 7
  5. 54
  6. 12
  7. 15
  8. 12
  9. 13
  10. 2
  11. 8
  12. 4
  13. 2
  14. 8
  15. 12
  16. 5
  17. 18
  18. 15
  19. 3
  20. 10
  21. 45
  22. 6
  23. 72
  24. 9
  25. 6
  26. 11
  27. 13
  28. 15
  29. 10
  30. 15
  31. 3
  32. 13
  33. 12
  34. 8
  35. 14
  36. 14
  37. 11
  38. 10
  39. 7
  40. 16

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