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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 448 · 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: t ÷ 10 = 7. What is t?
  2. 2.Find the value of 7y + 8 when y = 6.
  3. 3.Find the value of 9x + 14 when x = 12.
  4. 4.Find the value of 7n + 14 when n = 9.
  5. 5.Find the value of 7a + 7b when a = 7 and b = 7.
  6. 6.Find the value of 6a + 9b when a = 5 and b = 4.
  7. 7.Find the value of 3a + 9b when a = 9 and b = 4.
  8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
  9. 9.Find the value of 9n − 3 when n = 1.
  10. 10.Rahul 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
  11. 11.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
  12. 12.Solve: n + 11 = 23. What is n?
  13. 13.Find the value of 3a + 3b when a = 2 and b = 4.
  14. 14.Find the value of 3a + 4b when a = 8 and b = 2.
  15. 15.Find the value of 7a + 5b when a = 1 and b = 6.
  16. 16.Solve: y + 11 = 20. What is y?
  17. 17.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  18. 18.Solve: x ÷ 8 = 15. What is x?
  19. 19.Find the value of 5a + 7b when a = 5 and b = 2.
  20. 20.Dev has k marbles. A friend has 2 fewer. Which expression shows how many marbles the friend has? (a) k + 2 (b) k − 2 (c) 2k (d) k ÷ 2
  21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  22. 22.Find the value of 6y − 18 when y = 6.
  23. 23.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
  24. 24.Find the value of 8a + 2b when a = 10 and b = 2.
  25. 25.Solve: p + 6 = 11. What is p?
  26. 26.Find the value of 7m + 19 when m = 8.
  27. 27.Solve: x + 8 = 13. What is x?
  28. 28.Solve: x ÷ 2 = 18. What is x?
  29. 29.Solve: m − 10 = 8. What is m?
  30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  31. 31.Find the value of 4a + 4b when a = 8 and b = 8.
  32. 32.Find the value of 9a + 2b when a = 4 and b = 2.
  33. 33.Nisha has k pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) k + 6 (b) 6k (c) k ÷ 6 (d) k − 6
  34. 34.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  35. 35.Pooja has n balloons. A friend has 5 more. Which expression shows how many balloons the friend has? (a) n − 5 (b) n + 5 (c) 5n (d) n ÷ 5
  36. 36.Solve: y + 3 = 19. What is y?
  37. 37.Find the value of 8a + 2b when a = 3 and b = 4.
  38. 38.Solve: t + 12 = 30. What is t?
  39. 39.Find the value of 6x + 10 when x = 2.
  40. 40.Find the value of 7t + 17 when t = 2.

Answer key

  1. 70
  2. 50
  3. 122
  4. 77
  5. 98
  6. 66
  7. 63
  8. 20
  9. 6
  10. 2k
  11. 48
  12. 12
  13. 18
  14. 32
  15. 37
  16. 9
  17. 36
  18. 120
  19. 39
  20. k − 2
  21. 10
  22. 18
  23. 20
  24. 84
  25. 5
  26. 75
  27. 5
  28. 36
  29. 18
  30. 81
  31. 64
  32. 40
  33. k + 6
  34. 69
  35. n + 5
  36. 16
  37. 32
  38. 18
  39. 22
  40. 31

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