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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 266 · 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 8x + 6 when x = 1.
  2. 2.Find the value of 7a + 2b when a = 5 and b = 6.
  3. 3.Dev has k balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) k ÷ 3 (b) k − 3 (c) k + 3 (d) 3k
  4. 4.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  5. 5.Find the value of 5t + 19 when t = 9.
  6. 6.Find the value of 4m − 2 when m = 1.
  7. 7.Solve: x ÷ 4 = 3. What is x?
  8. 8.Find the value of 9n − 14 when n = 3.
  9. 9.Solve: n ÷ 9 = 16. What is n?
  10. 10.Solve: n − 4 = 8. What is n?
  11. 11.Find the value of 7a + 3b when a = 2 and b = 3.
  12. 12.Rohan has m mangoes. A friend has 5 more. Which expression shows how many mangoes the friend has? (a) m ÷ 5 (b) m − 5 (c) 5m (d) m + 5
  13. 13.Nisha shares n shells equally among 5 friends. Which expression shows how many shells each friend gets? (a) 5n (b) n + 5 (c) n ÷ 5 (d) n − 5
  14. 14.Farhan has n balls. A friend has 4 fewer. Which expression shows how many balls the friend has? (a) 4n (b) n ÷ 4 (c) n − 4 (d) n + 4
  15. 15.Solve: x + 4 = 6. What is x?
  16. 16.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
  17. 17.Find the value of 4y + 9 when y = 12.
  18. 18.Solve: 7p = 56. What is p?
  19. 19.Find the value of 2a + 6b when a = 3 and b = 8.
  20. 20.Solve: m ÷ 12 = 12. What is m?
  21. 21.Find the value of 8n − 36 when n = 5.
  22. 22.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
  23. 23.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  24. 24.Find the value of 8a + 3b when a = 10 and b = 3.
  25. 25.Find the value of 8y + 17 when y = 4.
  26. 26.Find the value of 8a + 2b when a = 6 and b = 4.
  27. 27.Find the value of 5n − 2 when n = 3.
  28. 28.Find the value of 9p − 5 when p = 1.
  29. 29.Pooja shares k marbles equally among 6 friends. Which expression shows how many marbles each friend gets? (a) 6k (b) k + 6 (c) k − 6 (d) k ÷ 6
  30. 30.Solve: n − 6 = 7. What is n?
  31. 31.Solve: 5n = 60. What is n?
  32. 32.Kabir has p balloons. A friend has 2 fewer. Which expression shows how many balloons the friend has? (a) 2p (b) p + 2 (c) p ÷ 2 (d) p − 2
  33. 33.Find the value of 8a + 8b when a = 7 and b = 2.
  34. 34.Solve: t + 12 = 31. What is t?
  35. 35.Find the value of 4a + 6b when a = 1 and b = 5.
  36. 36.Find the value of 9a + 9b when a = 2 and b = 3.
  37. 37.Find the value of 5a + 8b when a = 9 and b = 3.
  38. 38.Solve: x + 10 = 27. What is x?
  39. 39.Manav has m books. A friend has 2 times as many. Which expression shows how many books the friend has? (a) m − 2 (b) m ÷ 2 (c) m + 2 (d) 2m
  40. 40.Solve: t − 3 = 3. What is t?

Answer key

  1. 14
  2. 47
  3. k + 3
  4. 56
  5. 64
  6. 2
  7. 12
  8. 13
  9. 144
  10. 12
  11. 23
  12. m + 5
  13. n ÷ 5
  14. n − 4
  15. 2
  16. 28
  17. 57
  18. 8
  19. 54
  20. 144
  21. 4
  22. 90
  23. 66
  24. 89
  25. 49
  26. 56
  27. 13
  28. 4
  29. k ÷ 6
  30. 13
  31. 12
  32. p − 2
  33. 72
  34. 19
  35. 34
  36. 45
  37. 69
  38. 17
  39. 2m
  40. 6

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