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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 551 · 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 9y + 13 when y = 4.
  2. 2.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
  3. 3.Solve: x − 2 = 5. What is x?
  4. 4.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  5. 5.Solve: y ÷ 8 = 4. What is y?
  6. 6.Solve: 12x = 96. What is x?
  7. 7.Find the value of 8y − 17 when y = 8.
  8. 8.Find the value of 3n + 12 when n = 8.
  9. 9.Find the value of 9a + 3b when a = 3 and b = 5.
  10. 10.Joseph has k pencils. A friend has 9 fewer. Which expression shows how many pencils the friend has? (a) 9k (b) k − 9 (c) k + 9 (d) k ÷ 9
  11. 11.Solve: p ÷ 6 = 13. What is p?
  12. 12.Solve: 7p = 140. What is p?
  13. 13.Find the value of 6x + 13 when x = 4.
  14. 14.Solve: x ÷ 5 = 6. What is x?
  15. 15.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  16. 16.Isha has m laddoos. A friend has 4 more. Which expression shows how many laddoos the friend has? (a) 4m (b) m − 4 (c) m ÷ 4 (d) m + 4
  17. 17.Solve: p + 3 = 8. What is p?
  18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
  19. 19.Find the value of 5a + 9b when a = 1 and b = 2.
  20. 20.Find the value of 2n + 7 when n = 2.
  21. 21.Find the value of 4m + 7 when m = 4.
  22. 22.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  23. 23.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  24. 24.Solve: 10x = 160. What is x?
  25. 25.Find the value of 9n + 8 when n = 2.
  26. 26.Find the value of 6a + 9b when a = 4 and b = 7.
  27. 27.Solve: 12p = 60. What is p?
  28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  29. 29.Find the value of 8y − 20 when y = 7.
  30. 30.Kavya has n bananas. A friend has 5 more. Which expression shows how many bananas the friend has? (a) n ÷ 5 (b) 5n (c) n − 5 (d) n + 5
  31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  32. 32.Arjun has p balls. A friend has 8 fewer. Which expression shows how many balls the friend has? (a) p ÷ 8 (b) 8p (c) p − 8 (d) p + 8
  33. 33.Sneha shares p balls equally among 8 friends. Which expression shows how many balls each friend gets? (a) p + 8 (b) 8p (c) p − 8 (d) p ÷ 8
  34. 34.Solve: y ÷ 4 = 9. What is y?
  35. 35.Solve: p − 5 = 17. What is p?
  36. 36.Solve: x ÷ 6 = 3. What is x?
  37. 37.Find the value of 4a + 4b when a = 8 and b = 6.
  38. 38.Find the value of 9t + 13 when t = 7.
  39. 39.Solve: n − 2 = 10. What is n?
  40. 40.Find the value of 7n + 15 when n = 10.

Answer key

  1. 49
  2. 24
  3. 7
  4. 45
  5. 32
  6. 8
  7. 47
  8. 36
  9. 42
  10. k − 9
  11. 78
  12. 20
  13. 37
  14. 30
  15. 78
  16. m + 4
  17. 5
  18. 40
  19. 23
  20. 11
  21. 23
  22. 40
  23. 60
  24. 16
  25. 26
  26. 87
  27. 5
  28. 58
  29. 36
  30. n + 5
  31. 87
  32. p − 8
  33. p ÷ 8
  34. 36
  35. 22
  36. 18
  37. 56
  38. 76
  39. 12
  40. 85

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