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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 50 · 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: x − 7 = 18. What is x?
  2. 2.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
  3. 3.Meera shares n balls equally among 7 friends. Which expression shows how many balls each friend gets? (a) n − 7 (b) n ÷ 7 (c) n + 7 (d) 7n
  4. 4.Solve: y − 5 = 18. What is y?
  5. 5.Farhan has m books. A friend has 6 times as many. Which expression shows how many books the friend has? (a) m ÷ 6 (b) 6m (c) m − 6 (d) m + 6
  6. 6.Find the value of 6p + 13 when p = 4.
  7. 7.Find the value of 4a + 5b when a = 10 and b = 9.
  8. 8.Find the value of 2a + 6b when a = 10 and b = 2.
  9. 9.Meera has k kites. A friend has 2 fewer. Which expression shows how many kites the friend has? (a) k + 2 (b) k ÷ 2 (c) 2k (d) k − 2
  10. 10.Find the value of 3x + 3 when x = 12.
  11. 11.Find the value of 7t + 8 when t = 4.
  12. 12.Solve: p ÷ 10 = 1. What is p?
  13. 13.Farhan has p balls. A friend has 4 fewer. Which expression shows how many balls the friend has? (a) p + 4 (b) p ÷ 4 (c) p − 4 (d) 4p
  14. 14.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
  15. 15.Find the value of 6y − 17 when y = 4.
  16. 16.Solve: t + 5 = 6. What is t?
  17. 17.Solve: n ÷ 5 = 6. What is n?
  18. 18.Find the value of 9t + 9 when t = 12.
  19. 19.Find the value of 7a + 2b when a = 1 and b = 6.
  20. 20.Find the value of 6a + 8b when a = 1 and b = 4.
  21. 21.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  22. 22.Solve: n ÷ 2 = 10. What is n?
  23. 23.Solve: p − 11 = 3. What is p?
  24. 24.Find the value of 7a + 4b when a = 9 and b = 10.
  25. 25.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
  26. 26.Solve: 5n = 30. What is n?
  27. 27.Find the value of 6x − 30 when x = 10.
  28. 28.Find the value of 7y + 1 when y = 8.
  29. 29.Solve: y ÷ 7 = 3. What is y?
  30. 30.Find the value of 8t + 14 when t = 10.
  31. 31.Find the value of 4t − 3 when t = 4.
  32. 32.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
  33. 33.Solve: 2n = 12. What is n?
  34. 34.Arjun shares n balls equally among 7 friends. Which expression shows how many balls each friend gets? (a) n + 7 (b) n ÷ 7 (c) n − 7 (d) 7n
  35. 35.Find the value of 5n + 4 when n = 2.
  36. 36.Solve: x ÷ 12 = 8. What is x?
  37. 37.Find the value of 9a + 3b when a = 1 and b = 4.
  38. 38.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  39. 39.Joseph shares p flowers equally among 7 friends. Which expression shows how many flowers each friend gets? (a) p ÷ 7 (b) 7p (c) p − 7 (d) p + 7
  40. 40.Find the value of 7a + 4b when a = 7 and b = 4.

Answer key

  1. 25
  2. 32
  3. n ÷ 7
  4. 23
  5. 6m
  6. 37
  7. 85
  8. 32
  9. k − 2
  10. 39
  11. 36
  12. 10
  13. p − 4
  14. 30
  15. 7
  16. 1
  17. 30
  18. 117
  19. 19
  20. 38
  21. 57
  22. 20
  23. 14
  24. 103
  25. 28
  26. 6
  27. 30
  28. 57
  29. 21
  30. 94
  31. 13
  32. 24
  33. 6
  34. n ÷ 7
  35. 14
  36. 96
  37. 21
  38. 46
  39. p ÷ 7
  40. 65

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