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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 161 · 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: 7(x + 3) = 49. What is x?
  2. 2.Riya’s mother is three times as old as Riya. Their ages add up to 24 years. How old is Riya?
  3. 3.Meera is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  4. 4.Solve: x/2 + 5 = 6. What is x?
  5. 5.Vivaan thinks of a number, multiplies it by 3 and then adds 4. The result is 43. What is the number?
  6. 6.Solve: 3m − 6 = 33. What is m?
  7. 7.Solve: 3t + 8 = 14. What is t?
  8. 8.Aarav thinks of a number, multiplies it by 5 and then adds 19. The result is 84. What is the number?
  9. 9.Solve: 6y + 9 = 87. What is y?
  10. 10.Solve: t/7 + 7 = 18. What is t?
  11. 11.Karan thinks of a number, multiplies it by 6 and then adds 2. The result is 62. What is the number?
  12. 12.Nisha is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  13. 13.Kavya thinks of a number, multiplies it by 2 and then adds 8. The result is 20. What is the number?
  14. 14.Solve: 5y + 25 = 90. What is y?
  15. 15.Solve: m/6 + 2 = 14. What is m?
  16. 16.Solve: 9(t + 4) = 54. What is t?
  17. 17.Solve: 2(p + 5) = 32. What is p?
  18. 18.Solve: 4m + 28 = 80. What is m?
  19. 19.Farhan’s mother is three times as old as Farhan. Their ages add up to 44 years. How old is Farhan?
  20. 20.Solve: t/6 + 3 = 16. What is t?
  21. 21.Farhan’s mother is three times as old as Farhan. Their ages add up to 36 years. How old is Farhan?
  22. 22.Dev thinks of a number, multiplies it by 7 and then adds 8. The result is 22. What is the number?
  23. 23.Solve: m/9 + 18 = 21. What is m?
  24. 24.Solve: 7x − 54 = 51. What is x?
  25. 25.Solve: 6y + 6 = 78. What is y?
  26. 26.Solve: 3y + 21 = 45. What is y?
  27. 27.Solve: 9y + 2 = 83. What is y?
  28. 28.Solve: 6(y + 6) = 90. What is y?
  29. 29.Karan is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  30. 30.Solve: 8m + 26 = 98. What is m?
  31. 31.Solve: 7y − 34 = 36. What is y?
  32. 32.Solve: 7m − 30 = 19. What is m?
  33. 33.Solve: t/5 + 7 = 17. What is t?
  34. 34.Solve: y/6 + 20 = 31. What is y?
  35. 35.Meera’s mother is three times as old as Meera. Their ages add up to 36 years. How old is Meera?
  36. 36.Solve: 4t − 1 = 3. What is t?
  37. 37.Karan thinks of a number, multiplies it by 3 and then adds 3. The result is 9. What is the number?
  38. 38.Solve: 5(x + 3) = 75. What is x?
  39. 39.Solve: 8(m + 1) = 40. What is m?
  40. 40.Solve: 3t − 24 = 18. What is t?

Answer key

  1. 4
  2. 6
  3. 5
  4. 2
  5. 13
  6. 13
  7. 2
  8. 13
  9. 13
  10. 77
  11. 10
  12. 9
  13. 6
  14. 13
  15. 72
  16. 2
  17. 11
  18. 13
  19. 11
  20. 78
  21. 9
  22. 2
  23. 27
  24. 15
  25. 12
  26. 8
  27. 9
  28. 9
  29. 7
  30. 9
  31. 10
  32. 7
  33. 50
  34. 66
  35. 9
  36. 1
  37. 2
  38. 12
  39. 4
  40. 14

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