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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 193 · 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.Solve: y ÷ 8 = 11. What is y?
  2. 2.Find the value of 5a + 3b when a = 9 and b = 9.
  3. 3.Find the value of 5y + 12 when y = 3.
  4. 4.Find the value of 2y − 3 when y = 3.
  5. 5.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  6. 6.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  7. 7.Find the value of 6y + 14 when y = 11.
  8. 8.Find the value of 7t + 4 when t = 12.
  9. 9.Priya has m shells. A friend has 9 fewer. Which expression shows how many shells the friend has? (a) m ÷ 9 (b) 9m (c) m − 9 (d) m + 9
  10. 10.Find the value of 6a + 7b when a = 9 and b = 2.
  11. 11.Find the value of 7a + 9b when a = 10 and b = 6.
  12. 12.Ananya has n laddoos. A friend has 9 more. Which expression shows how many laddoos the friend has? (a) n ÷ 9 (b) 9n (c) n + 9 (d) n − 9
  13. 13.Find the value of 4a + 6b when a = 8 and b = 1.
  14. 14.Solve: 10t = 130. What is t?
  15. 15.Find the value of 5n + 10 when n = 11.
  16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  17. 17.Ananya has p bananas. A friend has 4 times as many. Which expression shows how many bananas the friend has? (a) p + 4 (b) p − 4 (c) 4p (d) p ÷ 4
  18. 18.Find the value of 7n + 1 when n = 5.
  19. 19.Find the value of 3a + 2b when a = 5 and b = 9.
  20. 20.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  21. 21.Find the value of 4a + 3b when a = 8 and b = 4.
  22. 22.Solve: n − 2 = 19. What is n?
  23. 23.Solve: n ÷ 9 = 8. What is n?
  24. 24.Solve: 5t = 5. What is t?
  25. 25.Find the value of 4t + 3 when t = 4.
  26. 26.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  27. 27.Zoya has m marbles. A friend has 9 fewer. Which expression shows how many marbles the friend has? (a) m ÷ 9 (b) m − 9 (c) m + 9 (d) 9m
  28. 28.Diya shares k balls equally among 6 friends. Which expression shows how many balls each friend gets? (a) k ÷ 6 (b) k − 6 (c) k + 6 (d) 6k
  29. 29.Solve: n + 11 = 24. What is n?
  30. 30.Lakshmi has m pencils. A friend has 3 fewer. Which expression shows how many pencils the friend has? (a) m − 3 (b) m + 3 (c) 3m (d) m ÷ 3
  31. 31.Solve: t ÷ 3 = 9. What is t?
  32. 32.Find the value of 5n − 17 when n = 5.
  33. 33.Find the value of 4y − 14 when y = 7.
  34. 34.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  35. 35.Find the value of 5t − 2 when t = 3.
  36. 36.Find the value of 8t − 19 when t = 3.
  37. 37.Find the value of 8x + 1 when x = 9.
  38. 38.Find the value of 2a + 5b when a = 8 and b = 2.
  39. 39.Find the value of 5t − 9 when t = 7.
  40. 40.Find the value of 9a + 4b when a = 3 and b = 9.

Answer key

  1. 88
  2. 72
  3. 27
  4. 3
  5. 27
  6. 56
  7. 80
  8. 88
  9. m − 9
  10. 68
  11. 124
  12. n + 9
  13. 38
  14. 13
  15. 65
  16. 54
  17. 4p
  18. 36
  19. 33
  20. 66
  21. 44
  22. 21
  23. 72
  24. 1
  25. 19
  26. 16
  27. m − 9
  28. k ÷ 6
  29. 13
  30. m − 3
  31. 27
  32. 8
  33. 14
  34. 46
  35. 13
  36. 5
  37. 73
  38. 26
  39. 26
  40. 63

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