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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 512 · 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.Priya has m kites. A friend has 2 fewer. Which expression shows how many kites the friend has? (a) m − 2 (b) m + 2 (c) m ÷ 2 (d) 2m
  2. 2.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  3. 3.Solve: 11p = 55. What is p?
  4. 4.Solve: p + 7 = 25. What is p?
  5. 5.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  6. 6.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  7. 7.Manav shares n crayons equally among 3 friends. Which expression shows how many crayons each friend gets? (a) n ÷ 3 (b) 3n (c) n − 3 (d) n + 3
  8. 8.Solve: x + 7 = 20. What is x?
  9. 9.Find the value of 4a + 9b when a = 4 and b = 9.
  10. 10.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
  11. 11.Solve: 2x = 4. What is x?
  12. 12.Manav has n shells. A friend has 6 more. Which expression shows how many shells the friend has? (a) n + 6 (b) n ÷ 6 (c) n − 6 (d) 6n
  13. 13.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  14. 14.Solve: 4y = 36. What is y?
  15. 15.Find the value of 3x + 20 when x = 5.
  16. 16.Find the value of 2a + 9b when a = 10 and b = 5.
  17. 17.Find the value of 3a + 7b when a = 2 and b = 8.
  18. 18.Solve: 8y = 64. What is y?
  19. 19.Solve: x − 7 = 13. What is x?
  20. 20.Find the value of 8t + 19 when t = 11.
  21. 21.Lakshmi has m laddoos. A friend has 7 more. Which expression shows how many laddoos the friend has? (a) m − 7 (b) m ÷ 7 (c) 7m (d) m + 7
  22. 22.Aditya has k balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) 3k (b) k + 3 (c) k ÷ 3 (d) k − 3
  23. 23.Find the value of 4t − 8 when t = 5.
  24. 24.Find the value of 8a + 5b when a = 6 and b = 9.
  25. 25.Lakshmi shares p crayons equally among 9 friends. Which expression shows how many crayons each friend gets? (a) p + 9 (b) 9p (c) p ÷ 9 (d) p − 9
  26. 26.Find the value of 5x + 13 when x = 5.
  27. 27.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  28. 28.Solve: m − 5 = 10. What is m?
  29. 29.Solve: x − 6 = 2. What is x?
  30. 30.Solve: x ÷ 10 = 11. What is x?
  31. 31.Find the value of 3a + 4b when a = 8 and b = 9.
  32. 32.Rohan has p bananas. A friend has 7 more. Which expression shows how many bananas the friend has? (a) p ÷ 7 (b) p + 7 (c) p − 7 (d) 7p
  33. 33.Solve: y + 6 = 21. What is y?
  34. 34.Solve: 8x = 112. What is x?
  35. 35.Find the value of 3p − 2 when p = 7.
  36. 36.Solve: p ÷ 11 = 7. What is p?
  37. 37.Find the value of 5y + 14 when y = 7.
  38. 38.Solve: y + 5 = 13. What is y?
  39. 39.Find the value of 2x − 3 when x = 3.
  40. 40.Solve: m + 12 = 22. What is m?

Answer key

  1. m − 2
  2. 54
  3. 5
  4. 18
  5. 14
  6. 63
  7. n ÷ 3
  8. 13
  9. 97
  10. 20
  11. 2
  12. n + 6
  13. 18
  14. 9
  15. 35
  16. 65
  17. 62
  18. 8
  19. 20
  20. 107
  21. m + 7
  22. k − 3
  23. 12
  24. 93
  25. p ÷ 9
  26. 38
  27. 66
  28. 15
  29. 8
  30. 110
  31. 60
  32. p + 7
  33. 15
  34. 14
  35. 19
  36. 77
  37. 49
  38. 8
  39. 3
  40. 10

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