← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 555 · 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.Arjun’s mother is twice as old as Arjun. Their ages add up to 42 years. How old is Arjun?
  2. 2.Solve: t/9 + 7 = 10. What is t?
  3. 3.Solve: 9(x + 1) = 126. What is x?
  4. 4.Solve: p/6 + 5 = 9. What is p?
  5. 5.Solve: 2x − 5 = 1. What is x?
  6. 6.Solve: x/5 + 16 = 21. What is x?
  7. 7.Solve: 6x − 15 = 21. What is x?
  8. 8.Saanvi is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  9. 9.Solve: 7t − 45 = 11. What is t?
  10. 10.Solve: 4n + 12 = 16. What is n?
  11. 11.Solve: 9(y + 2) = 54. What is y?
  12. 12.Solve: 7(x + 1) = 56. What is x?
  13. 13.Solve: t/9 + 7 = 15. What is t?
  14. 14.Solve: 5p + 26 = 86. What is p?
  15. 15.Solve: 6(t + 2) = 90. What is t?
  16. 16.Solve: 7m + 20 = 41. What is m?
  17. 17.Karan’s mother is twice as old as Karan. Their ages add up to 27 years. How old is Karan?
  18. 18.Diya is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  19. 19.Solve: 4n + 26 = 78. What is n?
  20. 20.Solve: y/9 + 2 = 11. What is y?
  21. 21.Solve: 5p − 33 = 17. What is p?
  22. 22.Solve: x/2 + 12 = 18. What is x?
  23. 23.Solve: 3t + 7 = 37. What is t?
  24. 24.Kabir thinks of a number, multiplies it by 8 and then adds 26. The result is 42. What is the number?
  25. 25.Solve: 5(t + 9) = 110. What is t?
  26. 26.Solve: 2t + 17 = 25. What is t?
  27. 27.Solve: 9y + 1 = 73. What is y?
  28. 28.Solve: 2(n + 7) = 42. What is n?
  29. 29.Solve: 2(y + 9) = 26. What is y?
  30. 30.Solve: 6(n + 4) = 90. What is n?
  31. 31.Solve: 7t + 30 = 100. What is t?
  32. 32.Priya is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  33. 33.Ishaan is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  34. 34.Solve: 8x − 86 = 2. What is x?
  35. 35.Solve: 8x − 7 = 1. What is x?
  36. 36.Solve: 7n − 11 = 3. What is n?
  37. 37.Solve: 5m + 16 = 56. What is m?
  38. 38.Tara is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  39. 39.Solve: 4x − 30 = 6. What is x?
  40. 40.Solve: t/5 + 14 = 18. What is t?

Answer key

  1. 14
  2. 27
  3. 13
  4. 24
  5. 3
  6. 25
  7. 6
  8. 4
  9. 8
  10. 1
  11. 4
  12. 7
  13. 72
  14. 12
  15. 13
  16. 3
  17. 9
  18. 14
  19. 13
  20. 81
  21. 10
  22. 12
  23. 10
  24. 2
  25. 13
  26. 4
  27. 8
  28. 14
  29. 4
  30. 11
  31. 10
  32. 11
  33. 13
  34. 11
  35. 1
  36. 2
  37. 8
  38. 14
  39. 9
  40. 20

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