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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 607 · 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.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  2. 2.Tara has k balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) k + 6 (b) 6k (c) k − 6 (d) k ÷ 6
  3. 3.Solve: 6t = 102. What is t?
  4. 4.Solve: n + 12 = 18. What is n?
  5. 5.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  6. 6.Find the value of 9a + 9b when a = 6 and b = 6.
  7. 7.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  8. 8.Find the value of 8m + 10 when m = 4.
  9. 9.Solve: t + 11 = 21. What is t?
  10. 10.Dev has m bananas. A friend has 9 more. Which expression shows how many bananas the friend has? (a) m ÷ 9 (b) m + 9 (c) 9m (d) m − 9
  11. 11.Solve: x − 3 = 5. What is x?
  12. 12.Solve: n − 12 = 1. What is n?
  13. 13.Joseph has p mangoes. A friend has 2 times as many. Which expression shows how many mangoes the friend has? (a) 2p (b) p ÷ 2 (c) p + 2 (d) p − 2
  14. 14.Find the value of 6x − 17 when x = 3.
  15. 15.Find the value of 3t − 6 when t = 9.
  16. 16.Find the value of 5x + 9 when x = 3.
  17. 17.Find the value of 6a + 2b when a = 2 and b = 9.
  18. 18.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  19. 19.Find the value of 8n − 51 when n = 12.
  20. 20.Find the value of 8a + 9b when a = 2 and b = 8.
  21. 21.Solve: y ÷ 10 = 13. What is y?
  22. 22.Solve: t + 11 = 25. What is t?
  23. 23.Solve: x − 9 = 13. What is x?
  24. 24.Isha has n laddoos. A friend has 9 times as many. Which expression shows how many laddoos the friend has? (a) n ÷ 9 (b) n + 9 (c) 9n (d) n − 9
  25. 25.Find the value of 7a + 3b when a = 8 and b = 3.
  26. 26.Solve: x ÷ 3 = 4. What is x?
  27. 27.Find the value of 2a + 8b when a = 3 and b = 6.
  28. 28.Find the value of 5a + 6b when a = 8 and b = 2.
  29. 29.Find the value of 7p + 10 when p = 1.
  30. 30.Find the value of 2a + 6b when a = 6 and b = 5.
  31. 31.Find the value of 6y − 7 when y = 2.
  32. 32.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
  33. 33.Find the value of 7a + 9b when a = 5 and b = 8.
  34. 34.Solve: x − 10 = 20. What is x?
  35. 35.Solve: x − 4 = 6. What is x?
  36. 36.Vivaan has n balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) n ÷ 3 (b) 3n (c) n + 3 (d) n − 3
  37. 37.Solve: x + 10 = 17. What is x?
  38. 38.Solve: n − 7 = 20. What is n?
  39. 39.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  40. 40.Find the value of 5n − 59 when n = 12.

Answer key

  1. 57
  2. k + 6
  3. 17
  4. 6
  5. 16
  6. 108
  7. 33
  8. 42
  9. 10
  10. m + 9
  11. 8
  12. 13
  13. 2p
  14. 1
  15. 21
  16. 24
  17. 30
  18. 44
  19. 45
  20. 88
  21. 130
  22. 14
  23. 22
  24. 9n
  25. 65
  26. 12
  27. 54
  28. 52
  29. 17
  30. 42
  31. 5
  32. 54
  33. 107
  34. 30
  35. 10
  36. n + 3
  37. 7
  38. 27
  39. 33
  40. 1

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