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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 292 · 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.Aarav shares n bananas equally among 4 friends. Which expression shows how many bananas each friend gets? (a) n ÷ 4 (b) 4n (c) n + 4 (d) n − 4
  2. 2.Find the value of 3a + 6b when a = 9 and b = 3.
  3. 3.Solve: n − 12 = 6. What is n?
  4. 4.Find the value of 6a + 2b when a = 8 and b = 1.
  5. 5.Find the value of 7t + 20 when t = 9.
  6. 6.Find the value of 3a + 6b when a = 6 and b = 1.
  7. 7.Solve: x + 5 = 23. What is x?
  8. 8.Find the value of 9a + 9b when a = 2 and b = 4.
  9. 9.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  10. 10.Find the value of 8m + 2 when m = 8.
  11. 11.Aarav has k flowers. A friend has 3 more. Which expression shows how many flowers the friend has? (a) k + 3 (b) 3k (c) k ÷ 3 (d) k − 3
  12. 12.Find the value of 6y + 6 when y = 3.
  13. 13.Find the value of 3y + 4 when y = 1.
  14. 14.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 15 letters?
  15. 15.Lakshmi has n shells. A friend has 9 more. Which expression shows how many shells the friend has? (a) n ÷ 9 (b) 9n (c) n + 9 (d) n − 9
  16. 16.Find the value of 9x + 12 when x = 10.
  17. 17.Find the value of 2a + 4b when a = 5 and b = 3.
  18. 18.Solve: 7n = 105. What is n?
  19. 19.Solve: x + 2 = 7. What is x?
  20. 20.Find the value of 6x − 8 when x = 2.
  21. 21.Find the value of 3x + 3 when x = 7.
  22. 22.Solve: p ÷ 6 = 11. What is p?
  23. 23.Priya has m balloons. A friend has 4 times as many. Which expression shows how many balloons the friend has? (a) 4m (b) m + 4 (c) m − 4 (d) m ÷ 4
  24. 24.Solve: t + 6 = 7. What is t?
  25. 25.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  26. 26.Find the value of 3a + 4b when a = 2 and b = 3.
  27. 27.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
  28. 28.Find the value of 7y + 3 when y = 4.
  29. 29.Solve: 5p = 65. What is p?
  30. 30.Solve: m + 2 = 22. What is m?
  31. 31.Solve: 3y = 57. What is y?
  32. 32.Find the value of 4a + 2b when a = 7 and b = 10.
  33. 33.Find the value of 6a + 2b when a = 2 and b = 4.
  34. 34.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 14 letters?
  35. 35.Manav has n mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) 2n (b) n − 2 (c) n + 2 (d) n ÷ 2
  36. 36.Isha has k crayons. A friend has 9 times as many. Which expression shows how many crayons the friend has? (a) k − 9 (b) k ÷ 9 (c) k + 9 (d) 9k
  37. 37.Find the value of 9y + 1 when y = 3.
  38. 38.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
  39. 39.Find the value of 8n + 7 when n = 2.
  40. 40.Find the value of 7a + 5b when a = 9 and b = 3.

Answer key

  1. n ÷ 4
  2. 45
  3. 18
  4. 50
  5. 83
  6. 24
  7. 18
  8. 54
  9. 15
  10. 66
  11. k + 3
  12. 24
  13. 7
  14. 60
  15. n + 9
  16. 102
  17. 22
  18. 15
  19. 5
  20. 4
  21. 24
  22. 66
  23. 4m
  24. 1
  25. 87
  26. 18
  27. 80
  28. 31
  29. 13
  30. 20
  31. 19
  32. 48
  33. 20
  34. 56
  35. n − 2
  36. 9k
  37. 28
  38. 90
  39. 23
  40. 78

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