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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 435 · 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: 8m − 46 = 18. What is m?
  2. 2.Rahul thinks of a number, multiplies it by 8 and then adds 8. The result is 80. What is the number?
  3. 3.Solve: y/2 + 11 = 17. What is y?
  4. 4.Solve: 3y + 27 = 30. What is y?
  5. 5.Nisha thinks of a number, multiplies it by 2 and then adds 24. The result is 42. What is the number?
  6. 6.Solve: 2x − 4 = 4. What is x?
  7. 7.Aarav’s mother is three times as old as Aarav. Their ages add up to 60 years. How old is Aarav?
  8. 8.Saanvi thinks of a number, multiplies it by 2 and then adds 3. The result is 31. What is the number?
  9. 9.Solve: 7m − 6 = 1. What is m?
  10. 10.Karan thinks of a number, multiplies it by 7 and then adds 3. The result is 94. What is the number?
  11. 11.Arjun thinks of a number, multiplies it by 4 and then adds 22. The result is 34. What is the number?
  12. 12.Solve: y/4 + 17 = 20. What is y?
  13. 13.Diya is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  14. 14.Solve: 8t − 21 = 91. What is t?
  15. 15.Solve: 5x + 1 = 61. What is x?
  16. 16.Isha thinks of a number, multiplies it by 4 and then adds 7. The result is 35. What is the number?
  17. 17.Manav’s mother is twice as old as Manav. Their ages add up to 27 years. How old is Manav?
  18. 18.Solve: 3p − 38 = 1. What is p?
  19. 19.Solve: 3(y + 2) = 33. What is y?
  20. 20.Sneha thinks of a number, multiplies it by 2 and then adds 25. The result is 31. What is the number?
  21. 21.Priya thinks of a number, multiplies it by 4 and then adds 29. The result is 49. What is the number?
  22. 22.Aarav is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  23. 23.Solve: 7x + 22 = 64. What is x?
  24. 24.Solve: 2x + 7 = 37. What is x?
  25. 25.Solve: n/4 + 7 = 11. What is n?
  26. 26.Solve: n/3 + 11 = 14. What is n?
  27. 27.Solve: 7(m + 4) = 56. What is m?
  28. 28.Solve: x/7 + 13 = 20. What is x?
  29. 29.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 20 years. How old is Gurpreet?
  30. 30.Tara is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  31. 31.Solve: n/6 + 19 = 34. What is n?
  32. 32.Solve: 4(t + 2) = 32. What is t?
  33. 33.Tara thinks of a number, multiplies it by 3 and then adds 10. The result is 22. What is the number?
  34. 34.Solve: 7t − 2 = 5. What is t?
  35. 35.Solve: 4y + 2 = 22. What is y?
  36. 36.Solve: 5x − 10 = 5. What is x?
  37. 37.Arjun’s mother is twice as old as Arjun. Their ages add up to 15 years. How old is Arjun?
  38. 38.Solve: x/9 + 7 = 20. What is x?
  39. 39.Solve: 4m + 7 = 23. What is m?
  40. 40.Solve: n/4 + 4 = 15. What is n?

Answer key

  1. 8
  2. 9
  3. 12
  4. 1
  5. 9
  6. 4
  7. 15
  8. 14
  9. 1
  10. 13
  11. 3
  12. 12
  13. 14
  14. 14
  15. 12
  16. 7
  17. 9
  18. 13
  19. 9
  20. 3
  21. 5
  22. 14
  23. 6
  24. 15
  25. 16
  26. 9
  27. 4
  28. 49
  29. 4
  30. 9
  31. 90
  32. 6
  33. 4
  34. 1
  35. 5
  36. 3
  37. 5
  38. 117
  39. 4
  40. 44

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