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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 310 · 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.Joseph shares m mangoes equally among 4 friends. Which expression shows how many mangoes each friend gets? (a) m − 4 (b) 4m (c) m ÷ 4 (d) m + 4
  2. 2.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  3. 3.Solve: t ÷ 2 = 15. What is t?
  4. 4.Find the value of 8a + 4b when a = 6 and b = 1.
  5. 5.Find the value of 8a + 3b when a = 5 and b = 6.
  6. 6.Find the value of 6p + 16 when p = 5.
  7. 7.Find the value of 6y + 15 when y = 9.
  8. 8.Priya has n books. A friend has 3 times as many. Which expression shows how many books the friend has? (a) n − 3 (b) n ÷ 3 (c) n + 3 (d) 3n
  9. 9.Solve: 4x = 16. What is x?
  10. 10.Find the value of 8a + 6b when a = 9 and b = 6.
  11. 11.Solve: 10t = 30. What is t?
  12. 12.Solve: 11n = 33. What is n?
  13. 13.Find the value of 5y + 18 when y = 5.
  14. 14.Find the value of 4t + 17 when t = 1.
  15. 15.Find the value of 6m + 6 when m = 1.
  16. 16.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
  17. 17.Find the value of 5p + 2 when p = 5.
  18. 18.Isha has p bananas. A friend has 5 more. Which expression shows how many bananas the friend has? (a) p − 5 (b) 5p (c) p + 5 (d) p ÷ 5
  19. 19.Find the value of 7a + 4b when a = 8 and b = 5.
  20. 20.Tara has n shells. A friend has 5 times as many. Which expression shows how many shells the friend has? (a) 5n (b) n − 5 (c) n ÷ 5 (d) n + 5
  21. 21.Find the value of 4m − 5 when m = 5.
  22. 22.Find the value of 4x + 15 when x = 5.
  23. 23.Find the value of 9t − 12 when t = 3.
  24. 24.Find the value of 3a + 3b when a = 1 and b = 4.
  25. 25.Solve: n + 7 = 16. What is n?
  26. 26.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  27. 27.Find the value of 2a + 3b when a = 4 and b = 6.
  28. 28.Find the value of 3p + 3 when p = 2.
  29. 29.Find the value of 7y + 18 when y = 9.
  30. 30.Solve: 3n = 18. What is n?
  31. 31.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
  32. 32.Solve: 4p = 52. What is p?
  33. 33.Diya shares k pencils equally among 3 friends. Which expression shows how many pencils each friend gets? (a) k + 3 (b) k − 3 (c) 3k (d) k ÷ 3
  34. 34.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  35. 35.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  36. 36.Find the value of 7n + 2 when n = 8.
  37. 37.Find the value of 7a + 7b when a = 5 and b = 2.
  38. 38.Solve: 9x = 171. What is x?
  39. 39.Find the value of 3p + 13 when p = 9.
  40. 40.Solve: 4x = 56. What is x?

Answer key

  1. m ÷ 4
  2. 75
  3. 30
  4. 52
  5. 58
  6. 46
  7. 69
  8. 3n
  9. 4
  10. 108
  11. 3
  12. 3
  13. 43
  14. 21
  15. 12
  16. 36
  17. 27
  18. p + 5
  19. 76
  20. 5n
  21. 15
  22. 35
  23. 15
  24. 15
  25. 9
  26. 60
  27. 26
  28. 9
  29. 81
  30. 6
  31. 28
  32. 13
  33. k ÷ 3
  34. 72
  35. 50
  36. 58
  37. 49
  38. 19
  39. 40
  40. 14

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