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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 81 · 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 5a + 5b when a = 9 and b = 3.
  2. 2.Solve: t ÷ 5 = 14. What is t?
  3. 3.Find the value of 6x + 11 when x = 9.
  4. 4.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
  5. 5.Find the value of 9m + 9 when m = 10.
  6. 6.Solve: 12x = 36. What is x?
  7. 7.Find the value of 2x − 2 when x = 7.
  8. 8.Find the value of 3n − 4 when n = 8.
  9. 9.Find the value of 4p + 15 when p = 4.
  10. 10.Find the value of 4y + 12 when y = 7.
  11. 11.Arjun shares n laddoos equally among 3 friends. Which expression shows how many laddoos each friend gets? (a) n − 3 (b) n ÷ 3 (c) 3n (d) n + 3
  12. 12.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  13. 13.Find the value of 2a + 6b when a = 2 and b = 8.
  14. 14.Find the value of 9a + 6b when a = 2 and b = 3.
  15. 15.Solve: y − 8 = 4. What is y?
  16. 16.Solve: m + 8 = 23. What is m?
  17. 17.Solve: x − 4 = 4. What is x?
  18. 18.Find the value of 4n + 5 when n = 10.
  19. 19.Lakshmi has k mangoes. A friend has 4 more. Which expression shows how many mangoes the friend has? (a) k + 4 (b) k − 4 (c) k ÷ 4 (d) 4k
  20. 20.Find the value of 2a + 5b when a = 9 and b = 7.
  21. 21.Find the value of 6y − 5 when y = 3.
  22. 22.Nisha has k bananas. A friend has 4 more. Which expression shows how many bananas the friend has? (a) 4k (b) k ÷ 4 (c) k − 4 (d) k + 4
  23. 23.Solve: 12n = 216. What is n?
  24. 24.Solve: t − 2 = 12. What is t?
  25. 25.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  26. 26.Aarav has p mangoes. A friend has 7 more. Which expression shows how many mangoes the friend has? (a) p − 7 (b) p ÷ 7 (c) p + 7 (d) 7p
  27. 27.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
  28. 28.Solve: x ÷ 3 = 3. What is x?
  29. 29.Find the value of 6t + 17 when t = 3.
  30. 30.Find the value of 3x + 11 when x = 6.
  31. 31.Find the value of 6n − 4 when n = 1.
  32. 32.Find the value of 9a + 4b when a = 7 and b = 2.
  33. 33.Karan has m flowers. A friend has 3 fewer. Which expression shows how many flowers the friend has? (a) m ÷ 3 (b) 3m (c) m − 3 (d) m + 3
  34. 34.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
  35. 35.Find the value of 6a + 5b when a = 8 and b = 7.
  36. 36.Find the value of 5t + 3 when t = 9.
  37. 37.Find the value of 5y − 5 when y = 2.
  38. 38.Rohan has m crayons. A friend has 6 times as many. Which expression shows how many crayons the friend has? (a) m + 6 (b) m ÷ 6 (c) m − 6 (d) 6m
  39. 39.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  40. 40.Find the value of 2a + 4b when a = 1 and b = 5.

Answer key

  1. 60
  2. 70
  3. 65
  4. 28
  5. 99
  6. 3
  7. 12
  8. 20
  9. 31
  10. 40
  11. n ÷ 3
  12. 36
  13. 52
  14. 36
  15. 12
  16. 15
  17. 8
  18. 45
  19. k + 4
  20. 53
  21. 13
  22. k + 4
  23. 18
  24. 14
  25. 54
  26. p + 7
  27. 54
  28. 9
  29. 35
  30. 29
  31. 2
  32. 71
  33. m − 3
  34. 28
  35. 83
  36. 48
  37. 5
  38. 6m
  39. 32
  40. 22

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