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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 615 · 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.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  2. 2.Find the value of 3n − 9 when n = 10.
  3. 3.Find the value of 4n − 6 when n = 10.
  4. 4.Find the value of 5m + 11 when m = 7.
  5. 5.Vivaan shares p balls equally among 5 friends. Which expression shows how many balls each friend gets? (a) p ÷ 5 (b) p + 5 (c) 5p (d) p − 5
  6. 6.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  7. 7.Solve: t + 10 = 14. What is t?
  8. 8.Find the value of 7x − 12 when x = 7.
  9. 9.Find the value of 4a + 8b when a = 10 and b = 1.
  10. 10.Find the value of 8n + 16 when n = 10.
  11. 11.Find the value of 8a + 5b when a = 2 and b = 8.
  12. 12.Find the value of 9a + 2b when a = 2 and b = 10.
  13. 13.Solve: m + 3 = 18. What is m?
  14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  15. 15.Find the value of 3p + 20 when p = 8.
  16. 16.Ananya has m marbles. A friend has 8 more. Which expression shows how many marbles the friend has? (a) 8m (b) m − 8 (c) m ÷ 8 (d) m + 8
  17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  18. 18.Find the value of 6y + 5 when y = 7.
  19. 19.Solve: 10t = 190. What is t?
  20. 20.Find the value of 5m + 9 when m = 3.
  21. 21.Find the value of 6t − 16 when t = 3.
  22. 22.Find the value of 2a + 4b when a = 1 and b = 4.
  23. 23.Find the value of 4a + 6b when a = 10 and b = 1.
  24. 24.Solve: 5n = 100. What is n?
  25. 25.Find the value of 2a + 7b when a = 6 and b = 2.
  26. 26.Solve: t − 4 = 9. What is t?
  27. 27.Find the value of 7a + 3b when a = 5 and b = 9.
  28. 28.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  29. 29.Find the value of 4a + 5b when a = 4 and b = 1.
  30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  31. 31.Find the value of 8a + 5b when a = 9 and b = 4.
  32. 32.Priya has k bananas. A friend has 9 times as many. Which expression shows how many bananas the friend has? (a) 9k (b) k ÷ 9 (c) k − 9 (d) k + 9
  33. 33.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  34. 34.Find the value of 6a + 5b when a = 5 and b = 10.
  35. 35.Find the value of 3p + 14 when p = 7.
  36. 36.Find the value of 7a + 2b when a = 10 and b = 3.
  37. 37.Find the value of 9a + 8b when a = 7 and b = 7.
  38. 38.Joseph shares n balloons equally among 4 friends. Which expression shows how many balloons each friend gets? (a) n + 4 (b) n ÷ 4 (c) 4n (d) n − 4
  39. 39.Find the value of 9x − 3 when x = 1.
  40. 40.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?

Answer key

  1. 30
  2. 21
  3. 34
  4. 46
  5. p ÷ 5
  6. 33
  7. 4
  8. 37
  9. 48
  10. 96
  11. 56
  12. 38
  13. 15
  14. 10
  15. 44
  16. m + 8
  17. 18
  18. 47
  19. 19
  20. 24
  21. 2
  22. 18
  23. 46
  24. 20
  25. 26
  26. 13
  27. 62
  28. 87
  29. 21
  30. 40
  31. 92
  32. 9k
  33. 18
  34. 80
  35. 35
  36. 76
  37. 119
  38. n ÷ 4
  39. 6
  40. 15

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