← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 203 · 40 sums
TalentJR

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.

NameDateTime takenScore ___ / 40
  1. 1.Diya thinks of a number, multiplies it by 5 and then adds 26. The result is 36. What is the number?
  2. 2.Aarav’s mother is four times as old as Aarav. Their ages add up to 55 years. How old is Aarav?
  3. 3.Solve: 9x + 28 = 109. What is x?
  4. 4.Solve: 8p + 27 = 75. What is p?
  5. 5.Solve: 9m − 21 = 51. What is m?
  6. 6.Solve: 5(m + 8) = 90. What is m?
  7. 7.Solve: 9t − 16 = 11. What is t?
  8. 8.Solve: 5y − 6 = 29. What is y?
  9. 9.Solve: 9(t + 6) = 171. What is t?
  10. 10.Arjun thinks of a number, multiplies it by 2 and then adds 26. The result is 56. What is the number?
  11. 11.Nisha is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  12. 12.Gurpreet thinks of a number, multiplies it by 8 and then adds 14. The result is 54. What is the number?
  13. 13.Aarav thinks of a number, multiplies it by 4 and then adds 4. The result is 36. What is the number?
  14. 14.Solve: 5x + 24 = 34. What is x?
  15. 15.Zoya is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  16. 16.Solve: x/8 + 10 = 11. What is x?
  17. 17.Karan is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  18. 18.Rahul thinks of a number, multiplies it by 2 and then adds 28. The result is 32. What is the number?
  19. 19.Solve: p/4 + 7 = 19. What is p?
  20. 20.Solve: n/2 + 1 = 6. What is n?
  21. 21.Solve: 4(m + 3) = 28. What is m?
  22. 22.Manav is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  23. 23.Solve: 2t − 11 = 9. What is t?
  24. 24.Solve: 6y + 6 = 12. What is y?
  25. 25.Rohan is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  26. 26.Kavya thinks of a number, multiplies it by 4 and then adds 25. The result is 57. What is the number?
  27. 27.Solve: p/7 + 18 = 31. What is p?
  28. 28.Gurpreet is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  29. 29.Solve: t/3 + 4 = 10. What is t?
  30. 30.Solve: 8x + 18 = 138. What is x?
  31. 31.Nisha’s mother is three times as old as Nisha. Their ages add up to 48 years. How old is Nisha?
  32. 32.Solve: y/6 + 2 = 10. What is y?
  33. 33.Dev thinks of a number, multiplies it by 7 and then adds 11. The result is 25. What is the number?
  34. 34.Solve: t/5 + 15 = 17. What is t?
  35. 35.Solve: m/2 + 2 = 14. What is m?
  36. 36.Solve: m/3 + 12 = 25. What is m?
  37. 37.Solve: 9p + 12 = 111. What is p?
  38. 38.Solve: 4n − 41 = 3. What is n?
  39. 39.Solve: 4x − 11 = 5. What is x?
  40. 40.Kavya thinks of a number, multiplies it by 7 and then adds 4. The result is 67. What is the number?

Answer key

  1. 2
  2. 11
  3. 9
  4. 6
  5. 8
  6. 10
  7. 3
  8. 7
  9. 13
  10. 15
  11. 4
  12. 5
  13. 8
  14. 2
  15. 13
  16. 8
  17. 12
  18. 2
  19. 48
  20. 10
  21. 4
  22. 4
  23. 10
  24. 1
  25. 12
  26. 8
  27. 91
  28. 8
  29. 18
  30. 15
  31. 12
  32. 48
  33. 2
  34. 10
  35. 24
  36. 39
  37. 11
  38. 11
  39. 4
  40. 9

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets