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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 503 · 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.Vivaan thinks of a number, multiplies it by 3 and then adds 6. The result is 12. What is the number?
  2. 2.Solve: 2(x + 5) = 12. What is x?
  3. 3.Solve: 2t − 13 = 11. What is t?
  4. 4.Solve: y/9 + 10 = 24. What is y?
  5. 5.Solve: 3t − 26 = 16. What is t?
  6. 6.Kavya thinks of a number, multiplies it by 4 and then adds 7. The result is 19. What is the number?
  7. 7.Diya is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  8. 8.Solve: m/6 + 17 = 20. What is m?
  9. 9.Solve: 3y + 3 = 39. What is y?
  10. 10.Priya thinks of a number, multiplies it by 4 and then adds 5. The result is 41. What is the number?
  11. 11.Ishaan is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  12. 12.Priya thinks of a number, multiplies it by 7 and then adds 24. The result is 66. What is the number?
  13. 13.Arjun thinks of a number, multiplies it by 6 and then adds 2. The result is 68. What is the number?
  14. 14.Solve: m/2 + 4 = 9. What is m?
  15. 15.Solve: 2t − 9 = 7. What is t?
  16. 16.Solve: 9(t + 9) = 126. What is t?
  17. 17.Solve: 2(t + 9) = 32. What is t?
  18. 18.Diya is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  19. 19.Solve: 8(t + 9) = 104. What is t?
  20. 20.Solve: 5y + 22 = 27. What is y?
  21. 21.Solve: 2n − 5 = 19. What is n?
  22. 22.Ananya thinks of a number, multiplies it by 8 and then adds 20. The result is 124. What is the number?
  23. 23.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 33 years. How old is Saanvi?
  24. 24.Solve: 7n + 29 = 120. What is n?
  25. 25.Solve: 3x − 14 = 25. What is x?
  26. 26.Solve: 4(m + 5) = 52. What is m?
  27. 27.Solve: 8n + 7 = 47. What is n?
  28. 28.Karan is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  29. 29.Joseph’s mother is three times as old as Joseph. Their ages add up to 28 years. How old is Joseph?
  30. 30.Sneha is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  31. 31.Dev’s mother is twice as old as Dev. Their ages add up to 12 years. How old is Dev?
  32. 32.Solve: 5(m + 7) = 80. What is m?
  33. 33.Solve: 3m + 1 = 34. What is m?
  34. 34.Ananya thinks of a number, multiplies it by 8 and then adds 24. The result is 112. What is the number?
  35. 35.Rahul thinks of a number, multiplies it by 8 and then adds 8. The result is 56. What is the number?
  36. 36.Solve: 3x + 1 = 19. What is x?
  37. 37.Solve: 8y + 5 = 77. What is y?
  38. 38.Solve: 5t + 14 = 59. What is t?
  39. 39.Solve: n/2 + 6 = 18. What is n?
  40. 40.Solve: m/9 + 7 = 11. What is m?

Answer key

  1. 2
  2. 1
  3. 12
  4. 126
  5. 14
  6. 3
  7. 11
  8. 18
  9. 12
  10. 9
  11. 13
  12. 6
  13. 11
  14. 10
  15. 8
  16. 5
  17. 7
  18. 8
  19. 4
  20. 1
  21. 12
  22. 13
  23. 11
  24. 13
  25. 13
  26. 8
  27. 5
  28. 11
  29. 7
  30. 7
  31. 4
  32. 9
  33. 11
  34. 11
  35. 6
  36. 6
  37. 9
  38. 9
  39. 24
  40. 36

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