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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 688 · 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: 8y − 5 = 11. What is y?
  2. 2.Solve: 4(t + 6) = 40. What is t?
  3. 3.Solve: 4m + 23 = 35. What is m?
  4. 4.Kabir thinks of a number, multiplies it by 6 and then adds 5. The result is 95. What is the number?
  5. 5.Solve: 9(t + 3) = 63. What is t?
  6. 6.Solve: x/6 + 13 = 19. What is x?
  7. 7.Isha thinks of a number, multiplies it by 7 and then adds 13. The result is 34. What is the number?
  8. 8.Solve: p/5 + 15 = 25. What is p?
  9. 9.Solve: 7(p + 6) = 112. What is p?
  10. 10.Solve: x/3 + 18 = 28. What is x?
  11. 11.Solve: x/4 + 18 = 19. What is x?
  12. 12.Solve: p/3 + 2 = 16. What is p?
  13. 13.Solve: 6t + 7 = 67. What is t?
  14. 14.Pooja thinks of a number, multiplies it by 9 and then adds 6. The result is 141. What is the number?
  15. 15.Manav is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  16. 16.Solve: 8m + 6 = 102. What is m?
  17. 17.Solve: 5n − 17 = 13. What is n?
  18. 18.Kabir thinks of a number, multiplies it by 2 and then adds 17. The result is 37. What is the number?
  19. 19.Solve: x/3 + 17 = 28. What is x?
  20. 20.Ananya thinks of a number, multiplies it by 9 and then adds 13. The result is 121. What is the number?
  21. 21.Farhan’s mother is twice as old as Farhan. Their ages add up to 18 years. How old is Farhan?
  22. 22.Solve: 5p + 28 = 48. What is p?
  23. 23.Nisha’s mother is twice as old as Nisha. Their ages add up to 15 years. How old is Nisha?
  24. 24.Solve: 9(y + 2) = 99. What is y?
  25. 25.Isha thinks of a number, multiplies it by 8 and then adds 24. The result is 144. What is the number?
  26. 26.Solve: 4(n + 2) = 40. What is n?
  27. 27.Aarav thinks of a number, multiplies it by 6 and then adds 16. The result is 106. What is the number?
  28. 28.Solve: 6(t + 4) = 90. What is t?
  29. 29.Solve: 4n − 1 = 11. What is n?
  30. 30.Isha thinks of a number, multiplies it by 6 and then adds 30. The result is 120. What is the number?
  31. 31.Dev’s mother is twice as old as Dev. Their ages add up to 30 years. How old is Dev?
  32. 32.Solve: x/5 + 1 = 5. What is x?
  33. 33.Aarav is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  34. 34.Arjun thinks of a number, multiplies it by 5 and then adds 17. The result is 77. What is the number?
  35. 35.Solve: 4y − 12 = 16. What is y?
  36. 36.Solve: 3y + 6 = 18. What is y?
  37. 37.Pooja’s mother is four times as old as Pooja. Their ages add up to 70 years. How old is Pooja?
  38. 38.Solve: 2y − 26 = 4. What is y?
  39. 39.Solve: 7(x + 9) = 105. What is x?
  40. 40.Solve: m/5 + 10 = 14. What is m?

Answer key

  1. 2
  2. 4
  3. 3
  4. 15
  5. 4
  6. 36
  7. 3
  8. 50
  9. 10
  10. 30
  11. 4
  12. 42
  13. 10
  14. 15
  15. 11
  16. 12
  17. 6
  18. 10
  19. 33
  20. 12
  21. 6
  22. 4
  23. 5
  24. 9
  25. 15
  26. 8
  27. 15
  28. 11
  29. 3
  30. 15
  31. 10
  32. 20
  33. 6
  34. 12
  35. 7
  36. 4
  37. 14
  38. 15
  39. 6
  40. 20

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