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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 34 · 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: 7p + 13 = 41. What is p?
  2. 2.Riya is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  3. 3.Solve: 9m + 15 = 96. What is m?
  4. 4.Solve: 7(m + 5) = 63. What is m?
  5. 5.Solve: 5p − 63 = 2. What is p?
  6. 6.Solve: 5x + 9 = 19. What is x?
  7. 7.Solve: 5x − 12 = 3. What is x?
  8. 8.Solve: y/2 + 16 = 31. What is y?
  9. 9.Solve: p/5 + 16 = 26. What is p?
  10. 10.Solve: 9n + 1 = 100. What is n?
  11. 11.Solve: x/3 + 17 = 28. What is x?
  12. 12.Solve: 8m + 27 = 51. What is m?
  13. 13.Solve: 9(t + 5) = 171. What is t?
  14. 14.Solve: t/4 + 11 = 12. What is t?
  15. 15.Tara’s mother is twice as old as Tara. Their ages add up to 18 years. How old is Tara?
  16. 16.Solve: 3(y + 6) = 24. What is y?
  17. 17.Solve: x/2 + 13 = 22. What is x?
  18. 18.Solve: x/9 + 17 = 26. What is x?
  19. 19.Solve: 4(y + 9) = 44. What is y?
  20. 20.Ishaan thinks of a number, multiplies it by 4 and then adds 12. The result is 68. What is the number?
  21. 21.Solve: 7x + 4 = 25. What is x?
  22. 22.Solve: 2x − 1 = 7. What is x?
  23. 23.Meera thinks of a number, multiplies it by 8 and then adds 20. The result is 100. What is the number?
  24. 24.Solve: 2y − 19 = 5. What is y?
  25. 25.Solve: 3y + 2 = 35. What is y?
  26. 26.Solve: t/3 + 6 = 11. What is t?
  27. 27.Solve: 2m − 12 = 10. What is m?
  28. 28.Solve: 3n − 2 = 16. What is n?
  29. 29.Solve: t/9 + 2 = 8. What is t?
  30. 30.Rohan is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  31. 31.Solve: 9n + 13 = 31. What is n?
  32. 32.Dev thinks of a number, multiplies it by 4 and then adds 24. The result is 60. What is the number?
  33. 33.Solve: 2y + 10 = 32. What is y?
  34. 34.Solve: 5x − 58 = 7. What is x?
  35. 35.Solve: 3x − 18 = 3. What is x?
  36. 36.Solve: 8p − 3 = 13. What is p?
  37. 37.Solve: 4(y + 7) = 84. What is y?
  38. 38.Karan is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  39. 39.Rahul thinks of a number, multiplies it by 9 and then adds 28. The result is 163. What is the number?
  40. 40.Solve: m/9 + 14 = 16. What is m?

Answer key

  1. 4
  2. 12
  3. 9
  4. 4
  5. 13
  6. 2
  7. 3
  8. 30
  9. 50
  10. 11
  11. 33
  12. 3
  13. 14
  14. 4
  15. 6
  16. 2
  17. 18
  18. 81
  19. 2
  20. 14
  21. 3
  22. 4
  23. 10
  24. 12
  25. 11
  26. 15
  27. 11
  28. 6
  29. 54
  30. 6
  31. 2
  32. 9
  33. 11
  34. 13
  35. 7
  36. 2
  37. 14
  38. 14
  39. 15
  40. 18

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