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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 406 · 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.Tara is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  2. 2.Solve: 3n + 11 = 50. What is n?
  3. 3.Dev thinks of a number, multiplies it by 3 and then adds 3. The result is 33. What is the number?
  4. 4.Solve: 4(n + 8) = 40. What is n?
  5. 5.Lakshmi is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  6. 6.Solve: x/6 + 4 = 16. What is x?
  7. 7.Solve: x/4 + 18 = 24. What is x?
  8. 8.Solve: 6m + 21 = 105. What is m?
  9. 9.Diya thinks of a number, multiplies it by 5 and then adds 14. The result is 69. What is the number?
  10. 10.Solve: 3(y + 1) = 9. What is y?
  11. 11.Meera thinks of a number, multiplies it by 5 and then adds 26. The result is 51. What is the number?
  12. 12.Solve: 5y + 6 = 46. What is y?
  13. 13.Ananya thinks of a number, multiplies it by 2 and then adds 14. The result is 36. What is the number?
  14. 14.Solve: 3t + 26 = 38. What is t?
  15. 15.Solve: 2x + 2 = 8. What is x?
  16. 16.Diya thinks of a number, multiplies it by 5 and then adds 15. The result is 40. What is the number?
  17. 17.Solve: x/6 + 15 = 20. What is x?
  18. 18.Zoya’s mother is twice as old as Zoya. Their ages add up to 12 years. How old is Zoya?
  19. 19.Solve: 9(y + 1) = 36. What is y?
  20. 20.Solve: p/2 + 18 = 26. What is p?
  21. 21.Solve: 3p − 2 = 1. What is p?
  22. 22.Priya’s mother is twice as old as Priya. Their ages add up to 24 years. How old is Priya?
  23. 23.Solve: n/3 + 6 = 8. What is n?
  24. 24.Lakshmi is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  25. 25.Diya thinks of a number, multiplies it by 6 and then adds 24. The result is 78. What is the number?
  26. 26.Solve: 4m + 3 = 43. What is m?
  27. 27.Solve: 2m + 26 = 34. What is m?
  28. 28.Riya is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  29. 29.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 32 years. How old is Gurpreet?
  30. 30.Tara’s mother is four times as old as Tara. Their ages add up to 70 years. How old is Tara?
  31. 31.Solve: 6x − 11 = 67. What is x?
  32. 32.Kabir thinks of a number, multiplies it by 9 and then adds 24. The result is 114. What is the number?
  33. 33.Solve: 4y − 1 = 3. What is y?
  34. 34.Solve: 5n − 18 = 27. What is n?
  35. 35.Meera’s mother is three times as old as Meera. Their ages add up to 44 years. How old is Meera?
  36. 36.Manav thinks of a number, multiplies it by 4 and then adds 19. The result is 27. What is the number?
  37. 37.Ananya thinks of a number, multiplies it by 7 and then adds 12. The result is 89. What is the number?
  38. 38.Dev thinks of a number, multiplies it by 6 and then adds 9. The result is 75. What is the number?
  39. 39.Solve: 7(n + 1) = 112. What is n?
  40. 40.Solve: 8m + 29 = 117. What is m?

Answer key

  1. 6
  2. 13
  3. 10
  4. 2
  5. 4
  6. 72
  7. 24
  8. 14
  9. 11
  10. 2
  11. 5
  12. 8
  13. 11
  14. 4
  15. 3
  16. 5
  17. 30
  18. 4
  19. 3
  20. 16
  21. 1
  22. 8
  23. 6
  24. 14
  25. 9
  26. 10
  27. 4
  28. 9
  29. 8
  30. 14
  31. 13
  32. 10
  33. 1
  34. 9
  35. 11
  36. 2
  37. 11
  38. 11
  39. 15
  40. 11

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