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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 322 · 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.

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  1. 1.Zoya has n bananas. A friend has 2 fewer. Which expression shows how many bananas the friend has? (a) n − 2 (b) n ÷ 2 (c) 2n (d) n + 2
  2. 2.Find the value of 7a + 8b when a = 1 and b = 9.
  3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  4. 4.Kabir has n marbles. A friend has 4 more. Which expression shows how many marbles the friend has? (a) n − 4 (b) n + 4 (c) 4n (d) n ÷ 4
  5. 5.Find the value of 9a + 5b when a = 1 and b = 2.
  6. 6.Find the value of 2p + 8 when p = 5.
  7. 7.Manav has k balls. A friend has 3 times as many. Which expression shows how many balls the friend has? (a) 3k (b) k ÷ 3 (c) k + 3 (d) k − 3
  8. 8.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
  9. 9.Manav has p balls. A friend has 5 times as many. Which expression shows how many balls the friend has? (a) 5p (b) p + 5 (c) p ÷ 5 (d) p − 5
  10. 10.Solve: m + 2 = 11. What is m?
  11. 11.Find the value of 7m + 12 when m = 8.
  12. 12.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  13. 13.Solve: y − 9 = 1. What is y?
  14. 14.Find the value of 7y − 3 when y = 1.
  15. 15.Priya has p kites. A friend has 3 fewer. Which expression shows how many kites the friend has? (a) p − 3 (b) 3p (c) p ÷ 3 (d) p + 3
  16. 16.Farhan has n laddoos. A friend has 9 fewer. Which expression shows how many laddoos the friend has? (a) 9n (b) n − 9 (c) n + 9 (d) n ÷ 9
  17. 17.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  18. 18.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  19. 19.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
  20. 20.Find the value of 8a + 9b when a = 6 and b = 7.
  21. 21.Find the value of 3t + 2 when t = 7.
  22. 22.Lakshmi has n pencils. A friend has 4 fewer. Which expression shows how many pencils the friend has? (a) n + 4 (b) n ÷ 4 (c) 4n (d) n − 4
  23. 23.Solve: p ÷ 3 = 13. What is p?
  24. 24.Solve: n + 10 = 21. What is n?
  25. 25.Find the value of 3a + 8b when a = 7 and b = 3.
  26. 26.Aarav has k laddoos. A friend has 4 times as many. Which expression shows how many laddoos the friend has? (a) k ÷ 4 (b) k + 4 (c) 4k (d) k − 4
  27. 27.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
  29. 29.Find the value of 9a + 8b when a = 6 and b = 10.
  30. 30.Solve: p ÷ 11 = 4. What is p?
  31. 31.Sneha has p laddoos. A friend has 5 more. Which expression shows how many laddoos the friend has? (a) p + 5 (b) 5p (c) p − 5 (d) p ÷ 5
  32. 32.Find the value of 7n − 5 when n = 1.
  33. 33.Solve: y ÷ 3 = 2. What is y?
  34. 34.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
  35. 35.Find the value of 6a + 3b when a = 1 and b = 9.
  36. 36.Find the value of 8n + 15 when n = 6.
  37. 37.Priya has n mangoes. A friend has 8 more. Which expression shows how many mangoes the friend has? (a) n ÷ 8 (b) 8n (c) n + 8 (d) n − 8
  38. 38.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  39. 39.Find the value of 9x + 5 when x = 12.
  40. 40.Find the value of 3m + 4 when m = 4.

Answer key

  1. n − 2
  2. 79
  3. 52
  4. n + 4
  5. 19
  6. 18
  7. 3k
  8. 20
  9. 5p
  10. 9
  11. 68
  12. 21
  13. 10
  14. 4
  15. p − 3
  16. n − 9
  17. 39
  18. 33
  19. 76
  20. 111
  21. 23
  22. n − 4
  23. 39
  24. 11
  25. 45
  26. 4k
  27. 22
  28. 24
  29. 134
  30. 44
  31. p + 5
  32. 2
  33. 6
  34. 48
  35. 33
  36. 63
  37. n + 8
  38. 56
  39. 113
  40. 16

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