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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 227 · 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 4t − 9 when t = 3.
  2. 2.Joseph has k flowers. A friend has 2 times as many. Which expression shows how many flowers the friend has? (a) k − 2 (b) k + 2 (c) k ÷ 2 (d) 2k
  3. 3.Find the value of 5y + 13 when y = 8.
  4. 4.Find the value of 3a + 9b when a = 2 and b = 2.
  5. 5.Find the value of 7a + 3b when a = 9 and b = 2.
  6. 6.Rohan has m balls. A friend has 7 more. Which expression shows how many balls the friend has? (a) 7m (b) m ÷ 7 (c) m − 7 (d) m + 7
  7. 7.Find the value of 4t + 20 when t = 1.
  8. 8.Solve: t + 10 = 11. What is t?
  9. 9.Pooja has m balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) 6m (b) m − 6 (c) m ÷ 6 (d) m + 6
  10. 10.Find the value of 9p + 7 when p = 6.
  11. 11.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  12. 12.Find the value of 7a + 4b when a = 2 and b = 1.
  13. 13.Find the value of 9x + 10 when x = 4.
  14. 14.Solve: y ÷ 10 = 6. What is y?
  15. 15.Find the value of 5t + 13 when t = 9.
  16. 16.Find the value of 4t + 9 when t = 7.
  17. 17.Solve: x − 2 = 1. What is x?
  18. 18.Kavya has m crayons. A friend has 6 more. Which expression shows how many crayons the friend has? (a) m − 6 (b) m + 6 (c) m ÷ 6 (d) 6m
  19. 19.Find the value of 9n + 11 when n = 7.
  20. 20.Find the value of 6a + 6b when a = 9 and b = 4.
  21. 21.Find the value of 8p + 1 when p = 2.
  22. 22.Find the value of 2a + 3b when a = 3 and b = 2.
  23. 23.Riya has m laddoos. A friend has 6 fewer. Which expression shows how many laddoos the friend has? (a) m ÷ 6 (b) 6m (c) m − 6 (d) m + 6
  24. 24.Solve: p − 2 = 3. What is p?
  25. 25.Find the value of 7x + 14 when x = 1.
  26. 26.Find the value of 9m + 6 when m = 5.
  27. 27.Find the value of 9y + 17 when y = 9.
  28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  29. 29.Find the value of 3x − 6 when x = 6.
  30. 30.Find the value of 6a + 7b when a = 4 and b = 2.
  31. 31.Tara has p flowers. A friend has 9 more. Which expression shows how many flowers the friend has? (a) p ÷ 9 (b) 9p (c) p − 9 (d) p + 9
  32. 32.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  33. 33.Find the value of 3a + 2b when a = 2 and b = 2.
  34. 34.Find the value of 6a + 3b when a = 6 and b = 3.
  35. 35.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  36. 36.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  37. 37.Find the value of 6a + 4b when a = 4 and b = 8.
  38. 38.Solve: n − 5 = 16. What is n?
  39. 39.Solve: x ÷ 11 = 5. What is x?
  40. 40.Find the value of 7a + 7b when a = 10 and b = 5.

Answer key

  1. 3
  2. 2k
  3. 53
  4. 24
  5. 69
  6. m + 7
  7. 24
  8. 1
  9. m + 6
  10. 61
  11. 72
  12. 18
  13. 46
  14. 60
  15. 58
  16. 37
  17. 3
  18. m + 6
  19. 74
  20. 78
  21. 17
  22. 12
  23. m − 6
  24. 5
  25. 21
  26. 51
  27. 98
  28. 18
  29. 12
  30. 38
  31. p + 9
  32. 34
  33. 10
  34. 45
  35. 15
  36. 81
  37. 56
  38. 21
  39. 55
  40. 105

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