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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 784 · 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: 3(n + 4) = 21. What is n?
  2. 2.Vivaan thinks of a number, multiplies it by 7 and then adds 19. The result is 68. What is the number?
  3. 3.Solve: 2y − 6 = 2. What is y?
  4. 4.Solve: y/2 + 15 = 23. What is y?
  5. 5.Solve: 2p + 22 = 42. What is p?
  6. 6.Solve: 8n + 13 = 29. What is n?
  7. 7.Solve: 6y + 14 = 26. What is y?
  8. 8.Kavya thinks of a number, multiplies it by 3 and then adds 18. The result is 39. What is the number?
  9. 9.Solve: 4x − 4 = 4. What is x?
  10. 10.Isha is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  11. 11.Solve: 8(p + 9) = 128. What is p?
  12. 12.Rahul thinks of a number, multiplies it by 9 and then adds 19. The result is 37. What is the number?
  13. 13.Solve: n/8 + 8 = 20. What is n?
  14. 14.Solve: 4x − 11 = 17. What is x?
  15. 15.Solve: 9(x + 1) = 63. What is x?
  16. 16.Solve: 9t + 13 = 121. What is t?
  17. 17.Solve: 6y + 21 = 33. What is y?
  18. 18.Solve: 8x − 12 = 12. What is x?
  19. 19.Solve: 4t + 30 = 58. What is t?
  20. 20.Tara thinks of a number, multiplies it by 8 and then adds 24. The result is 56. What is the number?
  21. 21.Solve: 5n − 63 = 12. What is n?
  22. 22.Solve: p/6 + 5 = 8. What is p?
  23. 23.Solve: y/4 + 5 = 8. What is y?
  24. 24.Solve: 5p + 7 = 27. What is p?
  25. 25.Diya is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  26. 26.Rahul thinks of a number, multiplies it by 6 and then adds 13. The result is 31. What is the number?
  27. 27.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 40 years. How old is Vivaan?
  28. 28.Solve: 2(m + 6) = 32. What is m?
  29. 29.Ishaan is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  30. 30.Solve: 4(p + 5) = 28. What is p?
  31. 31.Solve: x/5 + 3 = 6. What is x?
  32. 32.Saanvi thinks of a number, multiplies it by 8 and then adds 11. The result is 27. What is the number?
  33. 33.Solve: 2t + 16 = 32. What is t?
  34. 34.Solve: 2x + 25 = 55. What is x?
  35. 35.Priya’s mother is four times as old as Priya. Their ages add up to 45 years. How old is Priya?
  36. 36.Solve: 2(m + 3) = 18. What is m?
  37. 37.Solve: 9(n + 5) = 126. What is n?
  38. 38.Solve: 7x + 7 = 77. What is x?
  39. 39.Solve: 2p + 24 = 50. What is p?
  40. 40.Solve: 6t − 9 = 45. What is t?

Answer key

  1. 3
  2. 7
  3. 4
  4. 16
  5. 10
  6. 2
  7. 2
  8. 7
  9. 2
  10. 12
  11. 7
  12. 2
  13. 96
  14. 7
  15. 6
  16. 12
  17. 2
  18. 3
  19. 7
  20. 4
  21. 15
  22. 18
  23. 12
  24. 4
  25. 5
  26. 3
  27. 8
  28. 10
  29. 5
  30. 2
  31. 15
  32. 2
  33. 8
  34. 15
  35. 9
  36. 6
  37. 9
  38. 10
  39. 13
  40. 9

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