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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 54 · 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.Gurpreet thinks of a number, multiplies it by 3 and then adds 6. The result is 45. What is the number?
  2. 2.Isha’s mother is three times as old as Isha. Their ages add up to 36 years. How old is Isha?
  3. 3.Isha thinks of a number, multiplies it by 7 and then adds 5. The result is 33. What is the number?
  4. 4.Solve: 3y + 16 = 37. What is y?
  5. 5.Solve: 6t − 11 = 55. What is t?
  6. 6.Solve: 4x − 35 = 13. What is x?
  7. 7.Solve: 8n − 27 = 5. What is n?
  8. 8.Solve: x/2 + 17 = 29. What is x?
  9. 9.Rohan thinks of a number, multiplies it by 4 and then adds 10. The result is 58. What is the number?
  10. 10.Solve: 3(t + 2) = 9. What is t?
  11. 11.Vivaan is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  12. 12.Solve: 7(n + 3) = 98. What is n?
  13. 13.Solve: 9x + 1 = 127. What is x?
  14. 14.Saanvi is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  15. 15.Sneha is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  16. 16.Diya thinks of a number, multiplies it by 7 and then adds 15. The result is 36. What is the number?
  17. 17.Manav thinks of a number, multiplies it by 8 and then adds 25. The result is 97. What is the number?
  18. 18.Manav thinks of a number, multiplies it by 8 and then adds 8. The result is 72. What is the number?
  19. 19.Solve: p/6 + 8 = 21. What is p?
  20. 20.Solve: 6p − 3 = 27. What is p?
  21. 21.Farhan thinks of a number, multiplies it by 7 and then adds 13. The result is 41. What is the number?
  22. 22.Dev is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  23. 23.Solve: 8(t + 8) = 152. What is t?
  24. 24.Solve: m/5 + 19 = 25. What is m?
  25. 25.Saanvi thinks of a number, multiplies it by 4 and then adds 6. The result is 30. What is the number?
  26. 26.Dev thinks of a number, multiplies it by 9 and then adds 17. The result is 71. What is the number?
  27. 27.Solve: y/5 + 8 = 19. What is y?
  28. 28.Solve: p/3 + 3 = 16. What is p?
  29. 29.Solve: 6(x + 6) = 120. What is x?
  30. 30.Rohan thinks of a number, multiplies it by 2 and then adds 3. The result is 11. What is the number?
  31. 31.Aarav is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  32. 32.Dev’s mother is twice as old as Dev. Their ages add up to 21 years. How old is Dev?
  33. 33.Solve: 8p + 17 = 33. What is p?
  34. 34.Meera thinks of a number, multiplies it by 4 and then adds 8. The result is 68. What is the number?
  35. 35.Solve: 9y + 25 = 124. What is y?
  36. 36.Solve: 3y + 9 = 30. What is y?
  37. 37.Riya’s mother is three times as old as Riya. Their ages add up to 24 years. How old is Riya?
  38. 38.Solve: 2y + 19 = 47. What is y?
  39. 39.Farhan’s mother is four times as old as Farhan. Their ages add up to 65 years. How old is Farhan?
  40. 40.Kavya thinks of a number, multiplies it by 8 and then adds 11. The result is 107. What is the number?

Answer key

  1. 13
  2. 9
  3. 4
  4. 7
  5. 11
  6. 12
  7. 4
  8. 24
  9. 12
  10. 1
  11. 15
  12. 11
  13. 14
  14. 4
  15. 15
  16. 3
  17. 9
  18. 8
  19. 78
  20. 5
  21. 4
  22. 7
  23. 11
  24. 30
  25. 6
  26. 6
  27. 55
  28. 39
  29. 14
  30. 4
  31. 10
  32. 7
  33. 2
  34. 15
  35. 11
  36. 7
  37. 6
  38. 14
  39. 13
  40. 12

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