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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 902 · 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: 3n + 27 = 66. What is n?
  2. 2.Solve: 3y − 9 = 3. What is y?
  3. 3.Tara is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  4. 4.Pooja’s mother is twice as old as Pooja. Their ages add up to 30 years. How old is Pooja?
  5. 5.Solve: m/2 + 3 = 16. What is m?
  6. 6.Solve: 3p + 7 = 43. What is p?
  7. 7.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 60 years. How old is Vivaan?
  8. 8.Riya thinks of a number, multiplies it by 7 and then adds 6. The result is 13. What is the number?
  9. 9.Solve: 8x − 48 = 16. What is x?
  10. 10.Solve: 7y + 22 = 36. What is y?
  11. 11.Solve: 4t − 6 = 22. What is t?
  12. 12.Aarav’s mother is twice as old as Aarav. Their ages add up to 36 years. How old is Aarav?
  13. 13.Aditya is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  14. 14.Solve: 9n − 27 = 9. What is n?
  15. 15.Solve: 5(n + 1) = 35. What is n?
  16. 16.Ishaan is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  17. 17.Solve: 6x + 16 = 82. What is x?
  18. 18.Solve: n/2 + 3 = 13. What is n?
  19. 19.Kavya is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  20. 20.Solve: 2x + 13 = 17. What is x?
  21. 21.Solve: 8(x + 5) = 120. What is x?
  22. 22.Solve: 5n − 4 = 1. What is n?
  23. 23.Arjun thinks of a number, multiplies it by 6 and then adds 21. The result is 69. What is the number?
  24. 24.Solve: y/3 + 14 = 22. What is y?
  25. 25.Aarav thinks of a number, multiplies it by 9 and then adds 28. The result is 100. What is the number?
  26. 26.Solve: 9m + 2 = 47. What is m?
  27. 27.Joseph thinks of a number, multiplies it by 2 and then adds 7. The result is 11. What is the number?
  28. 28.Solve: 9(t + 4) = 81. What is t?
  29. 29.Farhan is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  30. 30.Solve: 2n − 11 = 1. What is n?
  31. 31.Diya thinks of a number, multiplies it by 2 and then adds 9. The result is 17. What is the number?
  32. 32.Solve: 8(m + 9) = 192. What is m?
  33. 33.Solve: 3t + 6 = 9. What is t?
  34. 34.Priya’s mother is twice as old as Priya. Their ages add up to 45 years. How old is Priya?
  35. 35.Solve: m/4 + 18 = 33. What is m?
  36. 36.Dev is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  37. 37.Karan is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  38. 38.Solve: 6(n + 7) = 90. What is n?
  39. 39.Pooja is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  40. 40.Priya’s mother is three times as old as Priya. Their ages add up to 28 years. How old is Priya?

Answer key

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

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