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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 233 · 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 6x − 43 when x = 12.
  2. 2.Solve: y − 9 = 4. What is y?
  3. 3.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 21 letters?
  4. 4.Find the value of 5a + 5b when a = 6 and b = 5.
  5. 5.Find the value of 2p − 17 when p = 9.
  6. 6.Solve: m − 2 = 18. What is m?
  7. 7.Find the value of 3a + 3b when a = 6 and b = 6.
  8. 8.Find the value of 6a + 5b when a = 6 and b = 2.
  9. 9.Find the value of 2n − 2 when n = 5.
  10. 10.Find the value of 4x + 6 when x = 5.
  11. 11.Find the value of 5y − 5 when y = 4.
  12. 12.Find the value of 5t + 7 when t = 1.
  13. 13.Solve: 2x = 32. What is x?
  14. 14.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  15. 15.Rahul has m laddoos. A friend has 3 times as many. Which expression shows how many laddoos the friend has? (a) m ÷ 3 (b) m − 3 (c) 3m (d) m + 3
  16. 16.Solve: m + 12 = 15. What is m?
  17. 17.Find the value of 2n + 6 when n = 3.
  18. 18.Find the value of 6y + 18 when y = 11.
  19. 19.Ananya shares m crayons equally among 9 friends. Which expression shows how many crayons each friend gets? (a) m + 9 (b) m − 9 (c) 9m (d) m ÷ 9
  20. 20.Find the value of 8y − 45 when y = 6.
  21. 21.Find the value of 3a + 7b when a = 10 and b = 8.
  22. 22.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  23. 23.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  24. 24.Find the value of 4a + 9b when a = 4 and b = 3.
  25. 25.Solve: y − 8 = 11. What is y?
  26. 26.Find the value of 4a + 7b when a = 2 and b = 6.
  27. 27.Find the value of 3a + 6b when a = 1 and b = 2.
  28. 28.Find the value of 2a + 5b when a = 3 and b = 8.
  29. 29.Find the value of 4t − 7 when t = 2.
  30. 30.Solve: x − 12 = 12. What is x?
  31. 31.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
  32. 32.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  33. 33.Solve: y + 12 = 13. What is y?
  34. 34.Isha shares k shells equally among 3 friends. Which expression shows how many shells each friend gets? (a) 3k (b) k ÷ 3 (c) k − 3 (d) k + 3
  35. 35.Solve: n + 11 = 15. What is n?
  36. 36.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  37. 37.Find the value of 5a + 2b when a = 7 and b = 7.
  38. 38.Lakshmi has m laddoos. A friend has 5 fewer. Which expression shows how many laddoos the friend has? (a) m + 5 (b) m ÷ 5 (c) 5m (d) m − 5
  39. 39.Find the value of 6a + 5b when a = 4 and b = 5.
  40. 40.Solve: 5m = 40. What is m?

Answer key

  1. 29
  2. 13
  3. 84
  4. 55
  5. 1
  6. 20
  7. 36
  8. 46
  9. 8
  10. 26
  11. 15
  12. 12
  13. 16
  14. 46
  15. 3m
  16. 3
  17. 12
  18. 84
  19. m ÷ 9
  20. 3
  21. 86
  22. 18
  23. 12
  24. 43
  25. 19
  26. 50
  27. 15
  28. 46
  29. 1
  30. 24
  31. 104
  32. 24
  33. 1
  34. k ÷ 3
  35. 4
  36. 21
  37. 49
  38. m − 5
  39. 49
  40. 8

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