← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 79 · 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.Joseph is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  2. 2.Dev is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  3. 3.Solve: x/3 + 11 = 22. What is x?
  4. 4.Solve: 4m + 12 = 68. What is m?
  5. 5.Solve: 7(t + 2) = 84. What is t?
  6. 6.Dev is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  7. 7.Solve: 2y + 24 = 30. What is y?
  8. 8.Arjun is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  9. 9.Solve: p/5 + 11 = 16. What is p?
  10. 10.Solve: x/8 + 7 = 11. What is x?
  11. 11.Kavya is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  12. 12.Solve: 6(m + 2) = 54. What is m?
  13. 13.Solve: 2p + 5 = 19. What is p?
  14. 14.Ananya thinks of a number, multiplies it by 3 and then adds 20. The result is 62. What is the number?
  15. 15.Lakshmi thinks of a number, multiplies it by 8 and then adds 11. The result is 59. What is the number?
  16. 16.Solve: n/2 + 8 = 15. What is n?
  17. 17.Zoya thinks of a number, multiplies it by 3 and then adds 14. The result is 35. What is the number?
  18. 18.Solve: 6x + 1 = 19. What is x?
  19. 19.Solve: n/7 + 15 = 29. What is n?
  20. 20.Solve: y/3 + 11 = 19. What is y?
  21. 21.Solve: p/2 + 15 = 23. What is p?
  22. 22.Solve: t/6 + 8 = 16. What is t?
  23. 23.Solve: m/2 + 13 = 26. What is m?
  24. 24.Solve: y/9 + 20 = 31. What is y?
  25. 25.Arjun thinks of a number, multiplies it by 8 and then adds 13. The result is 117. What is the number?
  26. 26.Solve: 7n + 28 = 91. What is n?
  27. 27.Solve: 2(m + 2) = 10. What is m?
  28. 28.Solve: 5t + 28 = 88. What is t?
  29. 29.Solve: 7p − 3 = 18. What is p?
  30. 30.Solve: 2t + 23 = 27. What is t?
  31. 31.Solve: 6p − 14 = 4. What is p?
  32. 32.Solve: 5(m + 4) = 25. What is m?
  33. 33.Solve: 5p + 21 = 56. What is p?
  34. 34.Solve: n/7 + 15 = 17. What is n?
  35. 35.Solve: 9(n + 7) = 99. What is n?
  36. 36.Solve: 2t + 1 = 11. What is t?
  37. 37.Joseph is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  38. 38.Solve: 5(n + 6) = 80. What is n?
  39. 39.Solve: y/9 + 13 = 22. What is y?
  40. 40.Solve: p/3 + 18 = 31. What is p?

Answer key

  1. 14
  2. 11
  3. 33
  4. 14
  5. 10
  6. 8
  7. 3
  8. 7
  9. 25
  10. 32
  11. 11
  12. 7
  13. 7
  14. 14
  15. 6
  16. 14
  17. 7
  18. 3
  19. 98
  20. 24
  21. 16
  22. 48
  23. 26
  24. 99
  25. 13
  26. 9
  27. 3
  28. 12
  29. 3
  30. 2
  31. 3
  32. 1
  33. 7
  34. 14
  35. 4
  36. 5
  37. 10
  38. 10
  39. 81
  40. 39

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