← Algebra: expressions and simple equations lesson New set →

Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 487 · 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.Nisha has m marbles. A friend has 2 fewer. Which expression shows how many marbles the friend has? (a) m + 2 (b) 2m (c) m − 2 (d) m ÷ 2
  2. 2.Find the value of 6a + 7b when a = 9 and b = 6.
  3. 3.Find the value of 3n − 9 when n = 8.
  4. 4.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
  5. 5.Solve: 11m = 66. What is m?
  6. 6.Find the value of 4a + 5b when a = 2 and b = 6.
  7. 7.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  8. 8.Solve: n − 2 = 14. What is n?
  9. 9.Meera shares k flowers equally among 2 friends. Which expression shows how many flowers each friend gets? (a) k − 2 (b) k ÷ 2 (c) 2k (d) k + 2
  10. 10.Riya shares n pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) n − 7 (b) n + 7 (c) 7n (d) n ÷ 7
  11. 11.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  12. 12.Aarav has m laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) m + 2 (b) m ÷ 2 (c) 2m (d) m − 2
  13. 13.Find the value of 4p + 1 when p = 6.
  14. 14.Lakshmi has n pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) n + 7 (b) n ÷ 7 (c) 7n (d) n − 7
  15. 15.Meera shares k marbles equally among 4 friends. Which expression shows how many marbles each friend gets? (a) k + 4 (b) k ÷ 4 (c) k − 4 (d) 4k
  16. 16.Find the value of 8p − 7 when p = 3.
  17. 17.Joseph has k bananas. A friend has 3 fewer. Which expression shows how many bananas the friend has? (a) k ÷ 3 (b) k + 3 (c) 3k (d) k − 3
  18. 18.Rohan has p pencils. A friend has 6 times as many. Which expression shows how many pencils the friend has? (a) p ÷ 6 (b) p + 6 (c) 6p (d) p − 6
  19. 19.Solve: t − 6 = 1. What is t?
  20. 20.Zoya has k crayons. A friend has 4 more. Which expression shows how many crayons the friend has? (a) k ÷ 4 (b) k − 4 (c) 4k (d) k + 4
  21. 21.Find the value of 2p − 1 when p = 3.
  22. 22.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  23. 23.Saanvi has p marbles. A friend has 2 more. Which expression shows how many marbles the friend has? (a) 2p (b) p + 2 (c) p ÷ 2 (d) p − 2
  24. 24.Diya has m mangoes. A friend has 3 times as many. Which expression shows how many mangoes the friend has? (a) m − 3 (b) m ÷ 3 (c) m + 3 (d) 3m
  25. 25.Solve: n − 9 = 17. What is n?
  26. 26.Ishaan shares n shells equally among 7 friends. Which expression shows how many shells each friend gets? (a) 7n (b) n + 7 (c) n − 7 (d) n ÷ 7
  27. 27.Arjun has n balls. A friend has 4 times as many. Which expression shows how many balls the friend has? (a) n − 4 (b) n ÷ 4 (c) n + 4 (d) 4n
  28. 28.Find the value of 5x + 5 when x = 8.
  29. 29.Solve: 9t = 90. What is t?
  30. 30.Find the value of 5y + 19 when y = 1.
  31. 31.Solve: p ÷ 9 = 19. What is p?
  32. 32.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  33. 33.Solve: y + 7 = 15. What is y?
  34. 34.Find the value of 5a + 9b when a = 8 and b = 1.
  35. 35.Vivaan has m kites. A friend has 8 more. Which expression shows how many kites the friend has? (a) 8m (b) m − 8 (c) m ÷ 8 (d) m + 8
  36. 36.Dev has k shells. A friend has 4 times as many. Which expression shows how many shells the friend has? (a) k ÷ 4 (b) k − 4 (c) 4k (d) k + 4
  37. 37.Ishaan has m marbles. A friend has 6 times as many. Which expression shows how many marbles the friend has? (a) m ÷ 6 (b) m − 6 (c) 6m (d) m + 6
  38. 38.Find the value of 5x − 13 when x = 10.
  39. 39.Find the value of 2p + 10 when p = 7.
  40. 40.Find the value of 3a + 2b when a = 2 and b = 3.

Answer key

  1. m − 2
  2. 96
  3. 15
  4. 108
  5. 6
  6. 38
  7. 69
  8. 16
  9. k ÷ 2
  10. n ÷ 7
  11. 12
  12. m + 2
  13. 25
  14. 7n
  15. k ÷ 4
  16. 17
  17. k − 3
  18. 6p
  19. 7
  20. k + 4
  21. 5
  22. 78
  23. p + 2
  24. 3m
  25. 26
  26. n ÷ 7
  27. 4n
  28. 45
  29. 10
  30. 24
  31. 171
  32. 69
  33. 8
  34. 49
  35. m + 8
  36. 4k
  37. 6m
  38. 37
  39. 24
  40. 12

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