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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 549 · 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.Diya is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  2. 2.Meera thinks of a number, multiplies it by 4 and then adds 21. The result is 77. What is the number?
  3. 3.Zoya’s mother is twice as old as Zoya. Their ages add up to 42 years. How old is Zoya?
  4. 4.Solve: 8(y + 2) = 64. What is y?
  5. 5.Solve: y/8 + 3 = 4. What is y?
  6. 6.Solve: 9m + 10 = 28. What is m?
  7. 7.Solve: 8t + 8 = 32. What is t?
  8. 8.Kavya is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  9. 9.Solve: 2x + 8 = 18. What is x?
  10. 10.Meera is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  11. 11.Solve: 8m − 2 = 78. What is m?
  12. 12.Joseph thinks of a number, multiplies it by 2 and then adds 5. The result is 23. What is the number?
  13. 13.Solve: 7(n + 1) = 63. What is n?
  14. 14.Solve: 7n + 29 = 71. What is n?
  15. 15.Rohan is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  16. 16.Vivaan thinks of a number, multiplies it by 8 and then adds 16. The result is 56. What is the number?
  17. 17.Solve: 3(y + 1) = 15. What is y?
  18. 18.Solve: 8(p + 5) = 56. What is p?
  19. 19.Solve: 4y + 21 = 29. What is y?
  20. 20.Diya thinks of a number, multiplies it by 6 and then adds 2. The result is 20. What is the number?
  21. 21.Solve: 3p + 5 = 14. What is p?
  22. 22.Zoya is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  23. 23.Solve: 3y − 1 = 2. What is y?
  24. 24.Solve: 4y + 7 = 43. What is y?
  25. 25.Solve: 6y − 19 = 5. What is y?
  26. 26.Solve: 2(y + 4) = 24. What is y?
  27. 27.Solve: 3(x + 6) = 48. What is x?
  28. 28.Solve: n/6 + 9 = 23. What is n?
  29. 29.Joseph’s mother is twice as old as Joseph. Their ages add up to 21 years. How old is Joseph?
  30. 30.Aarav is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  31. 31.Solve: 9(m + 1) = 63. What is m?
  32. 32.Solve: 8(y + 1) = 24. What is y?
  33. 33.Solve: p/3 + 3 = 15. What is p?
  34. 34.Zoya thinks of a number, multiplies it by 6 and then adds 6. The result is 60. What is the number?
  35. 35.Solve: x/5 + 2 = 13. What is x?
  36. 36.Riya thinks of a number, multiplies it by 9 and then adds 4. The result is 67. What is the number?
  37. 37.Zoya is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  38. 38.Solve: 5y + 26 = 56. What is y?
  39. 39.Solve: m/6 + 3 = 14. What is m?
  40. 40.Solve: 2t − 11 = 19. What is t?

Answer key

  1. 7
  2. 14
  3. 14
  4. 6
  5. 8
  6. 2
  7. 3
  8. 7
  9. 5
  10. 6
  11. 10
  12. 9
  13. 8
  14. 6
  15. 14
  16. 5
  17. 4
  18. 2
  19. 2
  20. 3
  21. 3
  22. 13
  23. 1
  24. 9
  25. 4
  26. 8
  27. 10
  28. 84
  29. 7
  30. 8
  31. 6
  32. 2
  33. 36
  34. 9
  35. 55
  36. 7
  37. 12
  38. 6
  39. 66
  40. 15

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