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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 806 · 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: 8(x + 1) = 96. What is x?
  2. 2.Solve: n/2 + 2 = 11. What is n?
  3. 3.Solve: 3t + 1 = 19. What is t?
  4. 4.Solve: 7x + 28 = 112. What is x?
  5. 5.Joseph is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  6. 6.Solve: 7t − 4 = 3. What is t?
  7. 7.Solve: 8y + 26 = 114. What is y?
  8. 8.Zoya is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  9. 9.Meera is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  10. 10.Karan’s mother is four times as old as Karan. Their ages add up to 45 years. How old is Karan?
  11. 11.Solve: 8n + 16 = 136. What is n?
  12. 12.Solve: 6x + 14 = 68. What is x?
  13. 13.Solve: 5(p + 8) = 55. What is p?
  14. 14.Solve: 9(x + 6) = 63. What is x?
  15. 15.Solve: y/2 + 18 = 30. What is y?
  16. 16.Farhan is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  17. 17.Meera thinks of a number, multiplies it by 6 and then adds 23. The result is 107. What is the number?
  18. 18.Solve: 5x − 28 = 12. What is x?
  19. 19.Tara is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  20. 20.Manav thinks of a number, multiplies it by 7 and then adds 6. The result is 97. What is the number?
  21. 21.Solve: 7y + 24 = 66. What is y?
  22. 22.Solve: n/2 + 9 = 13. What is n?
  23. 23.Kavya is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  24. 24.Solve: n/7 + 1 = 5. What is n?
  25. 25.Solve: 5t + 15 = 50. What is t?
  26. 26.Solve: 7y + 23 = 107. What is y?
  27. 27.Riya thinks of a number, multiplies it by 2 and then adds 11. The result is 35. What is the number?
  28. 28.Saanvi thinks of a number, multiplies it by 6 and then adds 22. The result is 112. What is the number?
  29. 29.Arjun thinks of a number, multiplies it by 8 and then adds 3. The result is 115. What is the number?
  30. 30.Solve: 3x − 15 = 15. What is x?
  31. 31.Diya thinks of a number, multiplies it by 2 and then adds 8. The result is 26. What is the number?
  32. 32.Solve: y/5 + 10 = 21. What is y?
  33. 33.Solve: 3(t + 5) = 51. What is t?
  34. 34.Tara’s mother is three times as old as Tara. Their ages add up to 16 years. How old is Tara?
  35. 35.Lakshmi is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  36. 36.Solve: 5y − 54 = 6. What is y?
  37. 37.Solve: 3(n + 2) = 33. What is n?
  38. 38.Solve: 4x + 28 = 48. What is x?
  39. 39.Solve: 2m − 20 = 4. What is m?
  40. 40.Solve: p/4 + 14 = 29. What is p?

Answer key

  1. 11
  2. 18
  3. 6
  4. 12
  5. 15
  6. 1
  7. 11
  8. 14
  9. 6
  10. 9
  11. 15
  12. 9
  13. 3
  14. 1
  15. 24
  16. 11
  17. 14
  18. 8
  19. 4
  20. 13
  21. 6
  22. 8
  23. 8
  24. 28
  25. 7
  26. 12
  27. 12
  28. 15
  29. 14
  30. 10
  31. 9
  32. 55
  33. 12
  34. 4
  35. 15
  36. 12
  37. 9
  38. 5
  39. 12
  40. 60

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