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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 430 · 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: 9p = 99. What is p?
  2. 2.Dev has m laddoos. A friend has 4 fewer. Which expression shows how many laddoos the friend has? (a) m ÷ 4 (b) m − 4 (c) m + 4 (d) 4m
  3. 3.Find the value of 2t + 4 when t = 8.
  4. 4.Dev has k books. A friend has 9 fewer. Which expression shows how many books the friend has? (a) 9k (b) k + 9 (c) k − 9 (d) k ÷ 9
  5. 5.Rahul has p mangoes. A friend has 8 times as many. Which expression shows how many mangoes the friend has? (a) p ÷ 8 (b) p + 8 (c) p − 8 (d) 8p
  6. 6.Find the value of 5a + 7b when a = 5 and b = 5.
  7. 7.Solve: 4y = 20. What is y?
  8. 8.Find the value of 4a + 6b when a = 8 and b = 8.
  9. 9.Ishaan has m balls. A friend has 8 fewer. Which expression shows how many balls the friend has? (a) m ÷ 8 (b) 8m (c) m − 8 (d) m + 8
  10. 10.Solve: 8y = 40. What is y?
  11. 11.Find the value of 3m + 5 when m = 4.
  12. 12.Find the value of 8x − 64 when x = 12.
  13. 13.Solve: y ÷ 2 = 5. What is y?
  14. 14.Kavya shares n mangoes equally among 4 friends. Which expression shows how many mangoes each friend gets? (a) n − 4 (b) n ÷ 4 (c) n + 4 (d) 4n
  15. 15.Solve: m + 9 = 28. What is m?
  16. 16.Find the value of 3n − 16 when n = 7.
  17. 17.Solve: p − 2 = 2. What is p?
  18. 18.Find the value of 5a + 7b when a = 2 and b = 3.
  19. 19.Find the value of 5a + 3b when a = 10 and b = 5.
  20. 20.Find the value of 4m + 9 when m = 2.
  21. 21.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  22. 22.Find the value of 9a + 6b when a = 3 and b = 8.
  23. 23.Find the value of 7a + 9b when a = 2 and b = 3.
  24. 24.Find the value of 9a + 6b when a = 1 and b = 3.
  25. 25.Find the value of 3a + 8b when a = 1 and b = 2.
  26. 26.Find the value of 4n − 2 when n = 1.
  27. 27.Find the value of 3a + 6b when a = 7 and b = 3.
  28. 28.Solve: x + 8 = 27. What is x?
  29. 29.Find the value of 5a + 3b when a = 7 and b = 5.
  30. 30.Find the value of 9a + 9b when a = 4 and b = 8.
  31. 31.Karan shares k bananas equally among 2 friends. Which expression shows how many bananas each friend gets? (a) k + 2 (b) k − 2 (c) 2k (d) k ÷ 2
  32. 32.Find the value of 3p + 4 when p = 11.
  33. 33.Find the value of 9a + 7b when a = 3 and b = 10.
  34. 34.Find the value of 5y + 19 when y = 9.
  35. 35.Solve: x − 4 = 9. What is x?
  36. 36.Lakshmi shares n pencils equally among 9 friends. Which expression shows how many pencils each friend gets? (a) n − 9 (b) n ÷ 9 (c) n + 9 (d) 9n
  37. 37.Find the value of 6a + 9b when a = 9 and b = 1.
  38. 38.Find the value of 4a + 4b when a = 5 and b = 10.
  39. 39.Find the value of 4m + 6 when m = 10.
  40. 40.Find the value of 9a + 3b when a = 2 and b = 1.

Answer key

  1. 11
  2. m − 4
  3. 20
  4. k − 9
  5. 8p
  6. 60
  7. 5
  8. 80
  9. m − 8
  10. 5
  11. 17
  12. 32
  13. 10
  14. n ÷ 4
  15. 19
  16. 5
  17. 4
  18. 31
  19. 65
  20. 17
  21. 36
  22. 75
  23. 41
  24. 27
  25. 19
  26. 2
  27. 39
  28. 19
  29. 50
  30. 108
  31. k ÷ 2
  32. 37
  33. 97
  34. 64
  35. 13
  36. n ÷ 9
  37. 63
  38. 60
  39. 46
  40. 21

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