← Algebra: expressions and simple equations lesson New set →

Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 209 · 40 sums
TalentJR

The method (Keep the balance): 3x means 3 × x. "5 more" → + 5, "5 fewer" → − 5, "5 times" → 5n, "shared among 5" → n ÷ 5. Value of an expression: put the number in place of the letter, then work it out — 3x + 5 when x = 4 is 12 + 5 = 17. Solve x + a = b by taking a from both sides; x − a = b by adding a; ax = b by dividing by a; x ÷ a = b by multiplying by a. Check by putting your answer back into the equation.

NameDateTime takenScore ___ / 40
  1. 1.Find the value of 3m − 5 when m = 8.
  2. 2.Find the value of 8m − 17 when m = 8.
  3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
  4. 4.Find the value of 3x − 18 when x = 9.
  5. 5.Find the value of 4a + 2b when a = 1 and b = 5.
  6. 6.Find the value of 7a + 6b when a = 8 and b = 2.
  7. 7.Solve: n + 9 = 29. What is n?
  8. 8.Find the value of 9t + 7 when t = 3.
  9. 9.Find the value of 5a + 6b when a = 4 and b = 2.
  10. 10.Meera has p laddoos. A friend has 3 times as many. Which expression shows how many laddoos the friend has? (a) 3p (b) p − 3 (c) p ÷ 3 (d) p + 3
  11. 11.Find the value of 8p + 2 when p = 9.
  12. 12.Find the value of 9a + 3b when a = 1 and b = 9.
  13. 13.Solve: t + 8 = 14. What is t?
  14. 14.Solve: x + 2 = 10. What is x?
  15. 15.Diya has m balloons. A friend has 3 times as many. Which expression shows how many balloons the friend has? (a) m − 3 (b) 3m (c) m + 3 (d) m ÷ 3
  16. 16.Meera shares k mangoes equally among 9 friends. Which expression shows how many mangoes each friend gets? (a) 9k (b) k + 9 (c) k ÷ 9 (d) k − 9
  17. 17.Find the value of 3a + 7b when a = 7 and b = 5.
  18. 18.Find the value of 3y + 11 when y = 4.
  19. 19.Find the value of 3a + 9b when a = 2 and b = 9.
  20. 20.Find the value of 5y − 28 when y = 8.
  21. 21.Solve: x + 11 = 27. What is x?
  22. 22.Find the value of 2a + 8b when a = 1 and b = 8.
  23. 23.Find the value of 5a + 7b when a = 6 and b = 4.
  24. 24.Joseph has n laddoos. A friend has 4 fewer. Which expression shows how many laddoos the friend has? (a) n ÷ 4 (b) n − 4 (c) n + 4 (d) 4n
  25. 25.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
  26. 26.Solve: 8n = 160. What is n?
  27. 27.Find the value of 4p − 7 when p = 2.
  28. 28.Find the value of 3m − 2 when m = 7.
  29. 29.Solve: n ÷ 6 = 1. What is n?
  30. 30.Arjun has n shells. A friend has 3 more. Which expression shows how many shells the friend has? (a) n + 3 (b) n ÷ 3 (c) 3n (d) n − 3
  31. 31.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
  32. 32.Find the value of 8m − 27 when m = 5.
  33. 33.Solve: n ÷ 5 = 17. What is n?
  34. 34.Solve: 7x = 35. What is x?
  35. 35.Saanvi has p balloons. A friend has 7 times as many. Which expression shows how many balloons the friend has? (a) 7p (b) p + 7 (c) p − 7 (d) p ÷ 7
  36. 36.Find the value of 7y + 4 when y = 4.
  37. 37.Solve: n − 3 = 16. What is n?
  38. 38.Find the value of 2t − 1 when t = 3.
  39. 39.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  40. 40.Find the value of 6a + 5b when a = 2 and b = 3.

Answer key

  1. 19
  2. 47
  3. 48
  4. 9
  5. 14
  6. 68
  7. 20
  8. 34
  9. 32
  10. 3p
  11. 74
  12. 36
  13. 6
  14. 8
  15. 3m
  16. k ÷ 9
  17. 56
  18. 23
  19. 87
  20. 12
  21. 16
  22. 66
  23. 58
  24. n − 4
  25. 76
  26. 20
  27. 1
  28. 19
  29. 6
  30. n + 3
  31. 84
  32. 13
  33. 85
  34. 5
  35. 7p
  36. 32
  37. 19
  38. 5
  39. 72
  40. 27

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