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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 780 · 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: 7(y + 5) = 112. What is y?
  2. 2.Solve: 2n − 19 = 3. What is n?
  3. 3.Solve: y/3 + 6 = 20. What is y?
  4. 4.Solve: y/8 + 17 = 32. What is y?
  5. 5.Solve: y/9 + 7 = 12. What is y?
  6. 6.Solve: 5(x + 7) = 50. What is x?
  7. 7.Solve: 3x + 30 = 75. What is x?
  8. 8.Solve: 8y − 3 = 13. What is y?
  9. 9.Solve: 6(x + 2) = 30. What is x?
  10. 10.Solve: 3(y + 2) = 27. What is y?
  11. 11.Solve: x/5 + 11 = 20. What is x?
  12. 12.Aarav is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  13. 13.Aarav’s mother is three times as old as Aarav. Their ages add up to 24 years. How old is Aarav?
  14. 14.Zoya thinks of a number, multiplies it by 2 and then adds 9. The result is 37. What is the number?
  15. 15.Solve: 9(m + 3) = 54. What is m?
  16. 16.Solve: 6p + 8 = 98. What is p?
  17. 17.Solve: p/9 + 7 = 11. What is p?
  18. 18.Manav thinks of a number, multiplies it by 3 and then adds 11. The result is 20. What is the number?
  19. 19.Joseph is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  20. 20.Solve: y/9 + 13 = 14. What is y?
  21. 21.Solve: 3(n + 5) = 27. What is n?
  22. 22.Manav is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  23. 23.Arjun’s mother is three times as old as Arjun. Their ages add up to 60 years. How old is Arjun?
  24. 24.Nisha’s mother is twice as old as Nisha. Their ages add up to 15 years. How old is Nisha?
  25. 25.Solve: y/5 + 14 = 26. What is y?
  26. 26.Solve: 2y − 8 = 2. What is y?
  27. 27.Zoya’s mother is four times as old as Zoya. Their ages add up to 40 years. How old is Zoya?
  28. 28.Solve: y/3 + 10 = 16. What is y?
  29. 29.Tara thinks of a number, multiplies it by 2 and then adds 12. The result is 14. What is the number?
  30. 30.Solve: 3m + 17 = 38. What is m?
  31. 31.Solve: 2(x + 3) = 20. What is x?
  32. 32.Solve: t/6 + 7 = 10. What is t?
  33. 33.Gurpreet thinks of a number, multiplies it by 2 and then adds 4. The result is 12. What is the number?
  34. 34.Saanvi is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  35. 35.Solve: m/4 + 13 = 16. What is m?
  36. 36.Ananya thinks of a number, multiplies it by 4 and then adds 24. The result is 52. What is the number?
  37. 37.Solve: 4x − 6 = 6. What is x?
  38. 38.Solve: y/5 + 12 = 21. What is y?
  39. 39.Aditya thinks of a number, multiplies it by 6 and then adds 3. The result is 33. What is the number?
  40. 40.Rahul’s mother is three times as old as Rahul. Their ages add up to 52 years. How old is Rahul?

Answer key

  1. 11
  2. 11
  3. 42
  4. 120
  5. 45
  6. 3
  7. 15
  8. 2
  9. 3
  10. 7
  11. 45
  12. 6
  13. 6
  14. 14
  15. 3
  16. 15
  17. 36
  18. 3
  19. 12
  20. 9
  21. 4
  22. 15
  23. 15
  24. 5
  25. 60
  26. 5
  27. 8
  28. 18
  29. 1
  30. 7
  31. 7
  32. 18
  33. 4
  34. 8
  35. 12
  36. 7
  37. 3
  38. 45
  39. 5
  40. 13

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