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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 173 · 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.Zoya has n kites. A friend has 2 times as many. Which expression shows how many kites the friend has? (a) n + 2 (b) n − 2 (c) n ÷ 2 (d) 2n
  2. 2.Isha has m mangoes. A friend has 7 fewer. Which expression shows how many mangoes the friend has? (a) m − 7 (b) 7m (c) m ÷ 7 (d) m + 7
  3. 3.Solve: m + 11 = 30. What is m?
  4. 4.Solve: p ÷ 10 = 3. What is p?
  5. 5.Find the value of 5a + 3b when a = 4 and b = 10.
  6. 6.Find the value of 6a + 6b when a = 5 and b = 1.
  7. 7.Find the value of 4a + 9b when a = 1 and b = 9.
  8. 8.Find the value of 5a + 5b when a = 7 and b = 9.
  9. 9.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  10. 10.Solve: m ÷ 4 = 5. What is m?
  11. 11.Find the value of 3n + 6 when n = 8.
  12. 12.Solve: 11p = 176. What is p?
  13. 13.Solve: x + 5 = 11. What is x?
  14. 14.Find the value of 5y + 9 when y = 9.
  15. 15.Solve: 2t = 10. What is t?
  16. 16.Solve: 11m = 55. What is m?
  17. 17.Solve: n + 4 = 22. What is n?
  18. 18.Farhan has n crayons. A friend has 2 more. Which expression shows how many crayons the friend has? (a) n − 2 (b) n ÷ 2 (c) n + 2 (d) 2n
  19. 19.Vivaan has k marbles. A friend has 2 fewer. Which expression shows how many marbles the friend has? (a) 2k (b) k ÷ 2 (c) k + 2 (d) k − 2
  20. 20.Solve: n + 8 = 13. What is n?
  21. 21.Solve: t ÷ 2 = 3. What is t?
  22. 22.Solve: t ÷ 5 = 6. What is t?
  23. 23.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
  24. 24.Solve: y ÷ 7 = 7. What is y?
  25. 25.Find the value of 3m − 2 when m = 1.
  26. 26.Find the value of 3y + 9 when y = 7.
  27. 27.Find the value of 2t − 7 when t = 9.
  28. 28.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  29. 29.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  30. 30.Joseph shares k flowers equally among 6 friends. Which expression shows how many flowers each friend gets? (a) 6k (b) k − 6 (c) k ÷ 6 (d) k + 6
  31. 31.Find the value of 6a + 6b when a = 1 and b = 8.
  32. 32.Find the value of 3y + 10 when y = 7.
  33. 33.Meera has p shells. A friend has 7 more. Which expression shows how many shells the friend has? (a) p − 7 (b) p ÷ 7 (c) 7p (d) p + 7
  34. 34.Solve: 5n = 40. What is n?
  35. 35.Find the value of 5a + 8b when a = 9 and b = 10.
  36. 36.Nisha has m laddoos. A friend has 3 fewer. Which expression shows how many laddoos the friend has? (a) 3m (b) m − 3 (c) m + 3 (d) m ÷ 3
  37. 37.Find the value of 8a + 3b when a = 9 and b = 6.
  38. 38.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  39. 39.Ananya has m laddoos. A friend has 8 times as many. Which expression shows how many laddoos the friend has? (a) m ÷ 8 (b) 8m (c) m − 8 (d) m + 8
  40. 40.Solve: 8y = 160. What is y?

Answer key

  1. 2n
  2. m − 7
  3. 19
  4. 30
  5. 50
  6. 36
  7. 85
  8. 80
  9. 10
  10. 20
  11. 30
  12. 16
  13. 6
  14. 54
  15. 5
  16. 5
  17. 18
  18. n + 2
  19. k − 2
  20. 5
  21. 6
  22. 30
  23. 30
  24. 49
  25. 1
  26. 30
  27. 11
  28. 40
  29. 21
  30. k ÷ 6
  31. 54
  32. 31
  33. p + 7
  34. 8
  35. 125
  36. m − 3
  37. 90
  38. 16
  39. 8m
  40. 20

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