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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 491 · 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.Meera has n balls. A friend has 8 more. Which expression shows how many balls the friend has? (a) n − 8 (b) n + 8 (c) n ÷ 8 (d) 8n
  2. 2.Find the value of 9n + 17 when n = 3.
  3. 3.Solve: 8y = 152. What is y?
  4. 4.Find the value of 6x + 14 when x = 6.
  5. 5.Solve: m + 5 = 23. What is m?
  6. 6.Solve: 8x = 32. What is x?
  7. 7.Solve: t − 7 = 20. What is t?
  8. 8.Solve: t + 7 = 14. What is t?
  9. 9.Find the value of 5t − 8 when t = 3.
  10. 10.Find the value of 8x + 11 when x = 10.
  11. 11.Find the value of 4y − 19 when y = 6.
  12. 12.Solve: t ÷ 11 = 18. What is t?
  13. 13.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  14. 14.Find the value of 6p + 10 when p = 5.
  15. 15.Find the value of 2a + 5b when a = 5 and b = 6.
  16. 16.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
  17. 17.Find the value of 9a + 7b when a = 10 and b = 2.
  18. 18.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  19. 19.Solve: t − 6 = 4. What is t?
  20. 20.Find the value of 5x + 9 when x = 2.
  21. 21.Solve: x − 7 = 9. What is x?
  22. 22.Find the value of 6y − 20 when y = 12.
  23. 23.Find the value of 4a + 6b when a = 2 and b = 2.
  24. 24.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  25. 25.Solve: x ÷ 11 = 4. What is x?
  26. 26.Solve: 2m = 4. What is m?
  27. 27.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  28. 28.Solve: 12y = 24. What is y?
  29. 29.Find the value of 2n − 4 when n = 3.
  30. 30.Find the value of 9a + 7b when a = 2 and b = 6.
  31. 31.Find the value of 6p − 30 when p = 6.
  32. 32.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  33. 33.Find the value of 3n − 15 when n = 12.
  34. 34.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
  35. 35.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  36. 36.Find the value of 4m + 5 when m = 4.
  37. 37.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  38. 38.Find the value of 3y − 6 when y = 9.
  39. 39.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  40. 40.Solve: 8y = 144. What is y?

Answer key

  1. n + 8
  2. 44
  3. 19
  4. 50
  5. 18
  6. 4
  7. 27
  8. 7
  9. 7
  10. 91
  11. 5
  12. 198
  13. 39
  14. 40
  15. 40
  16. 84
  17. 104
  18. 58
  19. 10
  20. 19
  21. 16
  22. 52
  23. 20
  24. 15
  25. 44
  26. 2
  27. 27
  28. 2
  29. 2
  30. 60
  31. 6
  32. 75
  33. 21
  34. 51
  35. 42
  36. 21
  37. 10
  38. 21
  39. 39
  40. 18

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