← Algebra: expressions and simple equations lesson New set →

Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 143 · 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 5a + 4b when a = 6 and b = 1.
  2. 2.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  3. 3.Find the value of 2m + 12 when m = 1.
  4. 4.Find the value of 9x + 14 when x = 8.
  5. 5.Find the value of 2y + 19 when y = 2.
  6. 6.Find the value of 6a + 6b when a = 7 and b = 8.
  7. 7.Solve: t − 7 = 10. What is t?
  8. 8.Find the value of 2a + 7b when a = 2 and b = 1.
  9. 9.Find the value of 9t + 2 when t = 5.
  10. 10.Find the value of 4a + 4b when a = 1 and b = 1.
  11. 11.Find the value of 5a + 3b when a = 2 and b = 2.
  12. 12.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
  13. 13.Find the value of 2p + 3 when p = 2.
  14. 14.Solve: y − 2 = 16. What is y?
  15. 15.Find the value of 2a + 5b when a = 2 and b = 5.
  16. 16.Find the value of 9a + 4b when a = 2 and b = 1.
  17. 17.Sneha shares p balloons equally among 8 friends. Which expression shows how many balloons each friend gets? (a) p − 8 (b) p ÷ 8 (c) p + 8 (d) 8p
  18. 18.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  19. 19.Solve: n + 7 = 27. What is n?
  20. 20.Solve: x − 12 = 11. What is x?
  21. 21.Find the value of 5y − 10 when y = 6.
  22. 22.Aarav shares p kites equally among 7 friends. Which expression shows how many kites each friend gets? (a) p − 7 (b) p + 7 (c) p ÷ 7 (d) 7p
  23. 23.Find the value of 8a + 4b when a = 8 and b = 2.
  24. 24.Find the value of 9a + 8b when a = 1 and b = 9.
  25. 25.Find the value of 2m + 3 when m = 9.
  26. 26.Find the value of 4p + 3 when p = 8.
  27. 27.Find the value of 3p − 5 when p = 3.
  28. 28.Tara shares k flowers equally among 8 friends. Which expression shows how many flowers each friend gets? (a) k − 8 (b) k + 8 (c) k ÷ 8 (d) 8k
  29. 29.Find the value of 5m − 6 when m = 12.
  30. 30.Find the value of 5a + 3b when a = 2 and b = 4.
  31. 31.Find the value of 6n − 2 when n = 5.
  32. 32.Solve: p + 3 = 18. What is p?
  33. 33.Ishaan shares p mangoes equally among 3 friends. Which expression shows how many mangoes each friend gets? (a) p + 3 (b) p ÷ 3 (c) p − 3 (d) 3p
  34. 34.Karan has n laddoos. A friend has 3 times as many. Which expression shows how many laddoos the friend has? (a) n − 3 (b) 3n (c) n ÷ 3 (d) n + 3
  35. 35.Find the value of 8a + 3b when a = 3 and b = 4.
  36. 36.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
  37. 37.Solve: p + 9 = 21. What is p?
  38. 38.Isha has k flowers. A friend has 6 more. Which expression shows how many flowers the friend has? (a) k + 6 (b) k − 6 (c) k ÷ 6 (d) 6k
  39. 39.Ishaan has n balls. A friend has 9 fewer. Which expression shows how many balls the friend has? (a) n − 9 (b) 9n (c) n ÷ 9 (d) n + 9
  40. 40.Find the value of 3m − 14 when m = 10.

Answer key

  1. 34
  2. 54
  3. 14
  4. 86
  5. 23
  6. 90
  7. 17
  8. 11
  9. 47
  10. 8
  11. 16
  12. 90
  13. 7
  14. 18
  15. 29
  16. 22
  17. p ÷ 8
  18. 63
  19. 20
  20. 23
  21. 20
  22. p ÷ 7
  23. 72
  24. 81
  25. 21
  26. 35
  27. 4
  28. k ÷ 8
  29. 54
  30. 22
  31. 28
  32. 15
  33. p ÷ 3
  34. 3n
  35. 36
  36. 20
  37. 12
  38. k + 6
  39. n − 9
  40. 16

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