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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 401 · 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 2n + 17 when n = 6.
  2. 2.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  3. 3.Find the value of 9a + 4b when a = 1 and b = 8.
  4. 4.Manav shares k mangoes equally among 4 friends. Which expression shows how many mangoes each friend gets? (a) k + 4 (b) k − 4 (c) 4k (d) k ÷ 4
  5. 5.Solve: x + 3 = 8. What is x?
  6. 6.Find the value of 2t − 2 when t = 3.
  7. 7.Aditya shares m kites equally among 3 friends. Which expression shows how many kites each friend gets? (a) 3m (b) m ÷ 3 (c) m + 3 (d) m − 3
  8. 8.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 14 letters?
  9. 9.Find the value of 9n − 90 when n = 11.
  10. 10.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  11. 11.Solve: 10p = 160. What is p?
  12. 12.Solve: n − 12 = 11. What is n?
  13. 13.Find the value of 9a + 2b when a = 6 and b = 2.
  14. 14.Gurpreet shares m laddoos equally among 8 friends. Which expression shows how many laddoos each friend gets? (a) m − 8 (b) m ÷ 8 (c) m + 8 (d) 8m
  15. 15.Find the value of 3a + 2b when a = 3 and b = 1.
  16. 16.Find the value of 8p + 18 when p = 11.
  17. 17.Find the value of 3a + 5b when a = 8 and b = 3.
  18. 18.Meera shares k books equally among 7 friends. Which expression shows how many books each friend gets? (a) k − 7 (b) k ÷ 7 (c) 7k (d) k + 7
  19. 19.Find the value of 6a + 5b when a = 10 and b = 8.
  20. 20.Find the value of 8t + 8 when t = 1.
  21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  22. 22.Find the value of 6y + 10 when y = 3.
  23. 23.Find the value of 9n − 88 when n = 12.
  24. 24.Solve: x ÷ 3 = 12. What is x?
  25. 25.Find the value of 9a + 6b when a = 5 and b = 3.
  26. 26.Find the value of 3a + 4b when a = 10 and b = 3.
  27. 27.Find the value of 5y − 32 when y = 11.
  28. 28.Solve: m + 3 = 14. What is m?
  29. 29.Find the value of 2n + 5 when n = 9.
  30. 30.Find the value of 9a + 6b when a = 7 and b = 9.
  31. 31.Find the value of 2x − 4 when x = 12.
  32. 32.Solve: p ÷ 5 = 3. What is p?
  33. 33.Find the value of 4y + 5 when y = 3.
  34. 34.Find the value of 2a + 5b when a = 3 and b = 8.
  35. 35.Find the value of 6n + 9 when n = 11.
  36. 36.Solve: 10m = 160. What is m?
  37. 37.Zoya has n books. A friend has 2 fewer. Which expression shows how many books the friend has? (a) n ÷ 2 (b) 2n (c) n + 2 (d) n − 2
  38. 38.Solve: t − 8 = 13. What is t?
  39. 39.Rohan has n flowers. A friend has 5 more. Which expression shows how many flowers the friend has? (a) 5n (b) n + 5 (c) n ÷ 5 (d) n − 5
  40. 40.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?

Answer key

  1. 29
  2. 60
  3. 41
  4. k ÷ 4
  5. 5
  6. 4
  7. m ÷ 3
  8. 56
  9. 9
  10. 15
  11. 16
  12. 23
  13. 58
  14. m ÷ 8
  15. 11
  16. 106
  17. 39
  18. k ÷ 7
  19. 100
  20. 16
  21. 40
  22. 28
  23. 20
  24. 36
  25. 63
  26. 42
  27. 23
  28. 11
  29. 23
  30. 117
  31. 20
  32. 15
  33. 17
  34. 46
  35. 75
  36. 16
  37. n − 2
  38. 21
  39. n + 5
  40. 96

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