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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 101 · 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.Lakshmi thinks of a number, multiplies it by 6 and then adds 5. The result is 71. What is the number?
  2. 2.Solve: 9(t + 4) = 90. What is t?
  3. 3.Solve: 9m + 28 = 136. What is m?
  4. 4.Solve: 3x − 20 = 7. What is x?
  5. 5.Pooja thinks of a number, multiplies it by 3 and then adds 11. The result is 38. What is the number?
  6. 6.Saanvi is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  7. 7.Solve: 6x − 5 = 1. What is x?
  8. 8.Solve: 6t − 4 = 2. What is t?
  9. 9.Ananya thinks of a number, multiplies it by 9 and then adds 20. The result is 56. What is the number?
  10. 10.Solve: 4(n + 9) = 60. What is n?
  11. 11.Solve: 3y − 13 = 11. What is y?
  12. 12.Solve: 8(p + 3) = 88. What is p?
  13. 13.Solve: t/9 + 13 = 20. What is t?
  14. 14.Kavya thinks of a number, multiplies it by 7 and then adds 12. The result is 110. What is the number?
  15. 15.Solve: 7p + 30 = 121. What is p?
  16. 16.Solve: 3x − 11 = 16. What is x?
  17. 17.Farhan’s mother is twice as old as Farhan. Their ages add up to 33 years. How old is Farhan?
  18. 18.Dev thinks of a number, multiplies it by 4 and then adds 22. The result is 34. What is the number?
  19. 19.Solve: 3n + 27 = 33. What is n?
  20. 20.Saanvi thinks of a number, multiplies it by 2 and then adds 6. The result is 26. What is the number?
  21. 21.Dev’s mother is four times as old as Dev. Their ages add up to 35 years. How old is Dev?
  22. 22.Tara thinks of a number, multiplies it by 7 and then adds 2. The result is 37. What is the number?
  23. 23.Solve: p/3 + 16 = 23. What is p?
  24. 24.Solve: y/9 + 20 = 32. What is y?
  25. 25.Rahul’s mother is four times as old as Rahul. Their ages add up to 60 years. How old is Rahul?
  26. 26.Solve: 8t − 18 = 22. What is t?
  27. 27.Solve: 8y + 1 = 65. What is y?
  28. 28.Diya is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  29. 29.Solve: 8y + 16 = 24. What is y?
  30. 30.Solve: y/9 + 15 = 25. What is y?
  31. 31.Solve: 8m − 3 = 21. What is m?
  32. 32.Joseph thinks of a number, multiplies it by 4 and then adds 6. The result is 10. What is the number?
  33. 33.Solve: 5y + 6 = 31. What is y?
  34. 34.Solve: m/6 + 6 = 18. What is m?
  35. 35.Sneha’s mother is four times as old as Sneha. Their ages add up to 60 years. How old is Sneha?
  36. 36.Solve: 2(m + 4) = 16. What is m?
  37. 37.Solve: p/3 + 15 = 28. What is p?
  38. 38.Aarav’s mother is twice as old as Aarav. Their ages add up to 21 years. How old is Aarav?
  39. 39.Joseph thinks of a number, multiplies it by 2 and then adds 10. The result is 38. What is the number?
  40. 40.Solve: 9x + 11 = 20. What is x?

Answer key

  1. 11
  2. 6
  3. 12
  4. 9
  5. 9
  6. 13
  7. 1
  8. 1
  9. 4
  10. 6
  11. 8
  12. 8
  13. 63
  14. 14
  15. 13
  16. 9
  17. 11
  18. 3
  19. 2
  20. 10
  21. 7
  22. 5
  23. 21
  24. 108
  25. 12
  26. 5
  27. 8
  28. 15
  29. 1
  30. 90
  31. 3
  32. 1
  33. 5
  34. 72
  35. 12
  36. 4
  37. 39
  38. 7
  39. 14
  40. 1

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