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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 246 · 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 8a + 2b when a = 6 and b = 9.
  2. 2.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
  3. 3.Find the value of 7a + 7b when a = 9 and b = 1.
  4. 4.Find the value of 3p + 19 when p = 3.
  5. 5.Find the value of 3m − 1 when m = 4.
  6. 6.Solve: x + 8 = 21. What is x?
  7. 7.Find the value of 6t + 10 when t = 5.
  8. 8.Solve: p ÷ 6 = 14. What is p?
  9. 9.Find the value of 2a + 2b when a = 10 and b = 3.
  10. 10.Find the value of 5a + 5b when a = 5 and b = 1.
  11. 11.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
  12. 12.Solve: y + 8 = 9. What is y?
  13. 13.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  14. 14.Solve: m ÷ 5 = 17. What is m?
  15. 15.Solve: y − 2 = 20. What is y?
  16. 16.Find the value of 2p − 10 when p = 7.
  17. 17.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
  18. 18.Find the value of 7a + 2b when a = 1 and b = 4.
  19. 19.Solve: t ÷ 2 = 10. What is t?
  20. 20.Solve: n − 7 = 5. What is n?
  21. 21.Find the value of 3n + 16 when n = 11.
  22. 22.Find the value of 3a + 5b when a = 10 and b = 9.
  23. 23.Find the value of 6y + 9 when y = 9.
  24. 24.Pooja shares k pencils equally among 6 friends. Which expression shows how many pencils each friend gets? (a) k ÷ 6 (b) k − 6 (c) k + 6 (d) 6k
  25. 25.Find the value of 2n + 10 when n = 4.
  26. 26.Meera has n marbles. A friend has 8 fewer. Which expression shows how many marbles the friend has? (a) n + 8 (b) n ÷ 8 (c) n − 8 (d) 8n
  27. 27.Solve: 5m = 25. What is m?
  28. 28.Find the value of 2a + 4b when a = 10 and b = 8.
  29. 29.Find the value of 5x + 5 when x = 2.
  30. 30.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  31. 31.Kabir has m flowers. A friend has 9 more. Which expression shows how many flowers the friend has? (a) m ÷ 9 (b) 9m (c) m − 9 (d) m + 9
  32. 32.Lakshmi has p books. A friend has 2 fewer. Which expression shows how many books the friend has? (a) p ÷ 2 (b) p + 2 (c) 2p (d) p − 2
  33. 33.Find the value of 4a + 8b when a = 8 and b = 9.
  34. 34.Find the value of 2a + 3b when a = 2 and b = 9.
  35. 35.Find the value of 3t − 2 when t = 7.
  36. 36.Riya has n balls. A friend has 6 fewer. Which expression shows how many balls the friend has? (a) n − 6 (b) n ÷ 6 (c) n + 6 (d) 6n
  37. 37.Find the value of 3m − 17 when m = 11.
  38. 38.Find the value of 3m − 18 when m = 10.
  39. 39.Find the value of 2a + 6b when a = 9 and b = 2.
  40. 40.Sneha has p marbles. A friend has 6 times as many. Which expression shows how many marbles the friend has? (a) p ÷ 6 (b) 6p (c) p − 6 (d) p + 6

Answer key

  1. 66
  2. 40
  3. 70
  4. 28
  5. 11
  6. 13
  7. 40
  8. 84
  9. 26
  10. 30
  11. 90
  12. 1
  13. 75
  14. 85
  15. 22
  16. 4
  17. 36
  18. 15
  19. 20
  20. 12
  21. 49
  22. 75
  23. 63
  24. k ÷ 6
  25. 18
  26. n − 8
  27. 5
  28. 52
  29. 15
  30. 18
  31. m + 9
  32. p − 2
  33. 104
  34. 31
  35. 19
  36. n − 6
  37. 16
  38. 12
  39. 30
  40. 6p

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