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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 513 · 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: 5x − 22 = 3. What is x?
  2. 2.Solve: 3p + 7 = 10. What is p?
  3. 3.Farhan is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  4. 4.Solve: y/7 + 6 = 16. What is y?
  5. 5.Solve: 3y + 24 = 27. What is y?
  6. 6.Rahul is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  7. 7.Solve: p/3 + 7 = 21. What is p?
  8. 8.Riya is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  9. 9.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 27 years. How old is Gurpreet?
  10. 10.Solve: 7p + 7 = 84. What is p?
  11. 11.Solve: x/6 + 14 = 20. What is x?
  12. 12.Priya thinks of a number, multiplies it by 5 and then adds 24. The result is 89. What is the number?
  13. 13.Solve: 2y + 6 = 28. What is y?
  14. 14.Rohan is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  15. 15.Solve: 8y − 20 = 84. What is y?
  16. 16.Solve: 3p − 25 = 5. What is p?
  17. 17.Solve: 2y − 2 = 16. What is y?
  18. 18.Ananya thinks of a number, multiplies it by 2 and then adds 2. The result is 6. What is the number?
  19. 19.Solve: 9y − 44 = 55. What is y?
  20. 20.Solve: 6(y + 2) = 30. What is y?
  21. 21.Solve: 6(t + 6) = 66. What is t?
  22. 22.Karan is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  23. 23.Aditya thinks of a number, multiplies it by 2 and then adds 3. The result is 15. What is the number?
  24. 24.Solve: x/9 + 19 = 30. What is x?
  25. 25.Solve: 9p + 27 = 162. What is p?
  26. 26.Solve: 4m + 7 = 63. What is m?
  27. 27.Aarav’s mother is four times as old as Aarav. Their ages add up to 75 years. How old is Aarav?
  28. 28.Solve: 9n − 55 = 35. What is n?
  29. 29.Solve: 2p + 26 = 42. What is p?
  30. 30.Priya’s mother is four times as old as Priya. Their ages add up to 70 years. How old is Priya?
  31. 31.Solve: t/6 + 2 = 8. What is t?
  32. 32.Solve: m/6 + 20 = 29. What is m?
  33. 33.Priya is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  34. 34.Nisha’s mother is twice as old as Nisha. Their ages add up to 24 years. How old is Nisha?
  35. 35.Solve: y/8 + 6 = 14. What is y?
  36. 36.Solve: 7x + 24 = 108. What is x?
  37. 37.Solve: 6x + 6 = 30. What is x?
  38. 38.Tara’s mother is twice as old as Tara. Their ages add up to 36 years. How old is Tara?
  39. 39.Solve: t/3 + 6 = 21. What is t?
  40. 40.Solve: 2y − 1 = 1. What is y?

Answer key

  1. 5
  2. 1
  3. 12
  4. 70
  5. 1
  6. 13
  7. 42
  8. 9
  9. 9
  10. 11
  11. 36
  12. 13
  13. 11
  14. 5
  15. 13
  16. 10
  17. 9
  18. 2
  19. 11
  20. 3
  21. 5
  22. 13
  23. 6
  24. 99
  25. 15
  26. 14
  27. 15
  28. 10
  29. 8
  30. 14
  31. 36
  32. 54
  33. 15
  34. 8
  35. 64
  36. 12
  37. 4
  38. 12
  39. 45
  40. 1

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