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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 501 · 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.Find the value of 5x + 13 when x = 2.
  2. 2.Find the value of 4a + 7b when a = 10 and b = 7.
  3. 3.Find the value of 3x − 6 when x = 4.
  4. 4.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  5. 5.Find the value of 3p + 19 when p = 4.
  6. 6.Ananya has n marbles. A friend has 5 more. Which expression shows how many marbles the friend has? (a) 5n (b) n + 5 (c) n ÷ 5 (d) n − 5
  7. 7.Nisha has m mangoes. A friend has 4 fewer. Which expression shows how many mangoes the friend has? (a) m + 4 (b) 4m (c) m ÷ 4 (d) m − 4
  8. 8.Find the value of 9m + 13 when m = 5.
  9. 9.Find the value of 8a + 7b when a = 2 and b = 3.
  10. 10.Find the value of 2t − 20 when t = 11.
  11. 11.Solve: n − 5 = 6. What is n?
  12. 12.Find the value of 2n − 10 when n = 9.
  13. 13.Find the value of 8x + 1 when x = 10.
  14. 14.Find the value of 9a + 4b when a = 3 and b = 8.
  15. 15.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  16. 16.Find the value of 2p − 5 when p = 8.
  17. 17.Find the value of 9a + 7b when a = 1 and b = 4.
  18. 18.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
  19. 19.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  20. 20.Lakshmi has k crayons. A friend has 9 more. Which expression shows how many crayons the friend has? (a) k + 9 (b) 9k (c) k ÷ 9 (d) k − 9
  21. 21.Find the value of 3x + 12 when x = 10.
  22. 22.Find the value of 6p − 5 when p = 5.
  23. 23.Find the value of 7x − 5 when x = 7.
  24. 24.Find the value of 4a + 8b when a = 5 and b = 7.
  25. 25.Solve: m + 10 = 24. What is m?
  26. 26.Find the value of 9a + 7b when a = 5 and b = 1.
  27. 27.Pooja shares k kites equally among 9 friends. Which expression shows how many kites each friend gets? (a) k − 9 (b) 9k (c) k ÷ 9 (d) k + 9
  28. 28.Solve: n + 8 = 14. What is n?
  29. 29.Solve: 9n = 153. What is n?
  30. 30.Find the value of 5a + 8b when a = 3 and b = 2.
  31. 31.Solve: n − 3 = 9. What is n?
  32. 32.Solve: n + 6 = 16. What is n?
  33. 33.Dev has n bananas. A friend has 9 more. Which expression shows how many bananas the friend has? (a) 9n (b) n ÷ 9 (c) n + 9 (d) n − 9
  34. 34.Find the value of 3x + 4 when x = 1.
  35. 35.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  36. 36.Find the value of 4p + 14 when p = 2.
  37. 37.Find the value of 4y + 5 when y = 12.
  38. 38.Karan shares n balls equally among 2 friends. Which expression shows how many balls each friend gets? (a) 2n (b) n − 2 (c) n + 2 (d) n ÷ 2
  39. 39.Karan shares k balloons equally among 4 friends. Which expression shows how many balloons each friend gets? (a) k ÷ 4 (b) 4k (c) k + 4 (d) k − 4
  40. 40.Find the value of 2n − 5 when n = 4.

Answer key

  1. 23
  2. 89
  3. 6
  4. 45
  5. 31
  6. n + 5
  7. m − 4
  8. 58
  9. 37
  10. 2
  11. 11
  12. 8
  13. 81
  14. 59
  15. 56
  16. 11
  17. 37
  18. 36
  19. 48
  20. k + 9
  21. 42
  22. 25
  23. 44
  24. 76
  25. 14
  26. 52
  27. k ÷ 9
  28. 6
  29. 17
  30. 31
  31. 12
  32. 10
  33. n + 9
  34. 7
  35. 12
  36. 22
  37. 53
  38. n ÷ 2
  39. k ÷ 4
  40. 3

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