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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 382 · 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 6n − 22 when n = 10.
  2. 2.Find the value of 9n − 2 when n = 1.
  3. 3.Solve: n + 10 = 25. What is n?
  4. 4.Rahul shares k balls equally among 4 friends. Which expression shows how many balls each friend gets? (a) k + 4 (b) k ÷ 4 (c) 4k (d) k − 4
  5. 5.Kabir has p kites. A friend has 7 more. Which expression shows how many kites the friend has? (a) 7p (b) p ÷ 7 (c) p − 7 (d) p + 7
  6. 6.Find the value of 4x − 28 when x = 8.
  7. 7.Find the value of 4y + 14 when y = 8.
  8. 8.Farhan shares m pencils equally among 4 friends. Which expression shows how many pencils each friend gets? (a) m − 4 (b) m ÷ 4 (c) 4m (d) m + 4
  9. 9.Solve: m + 7 = 9. What is m?
  10. 10.Solve: y + 6 = 21. What is y?
  11. 11.Saanvi has k mangoes. A friend has 6 times as many. Which expression shows how many mangoes the friend has? (a) k + 6 (b) k − 6 (c) k ÷ 6 (d) 6k
  12. 12.Meera has k bananas. A friend has 3 more. Which expression shows how many bananas the friend has? (a) k + 3 (b) k − 3 (c) 3k (d) k ÷ 3
  13. 13.Find the value of 2n − 3 when n = 2.
  14. 14.Find the value of 5a + 5b when a = 5 and b = 8.
  15. 15.Find the value of 6a + 6b when a = 10 and b = 3.
  16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
  17. 17.Find the value of 9m − 24 when m = 6.
  18. 18.Solve: 11t = 121. What is t?
  19. 19.Solve: t ÷ 9 = 17. What is t?
  20. 20.Find the value of 7t − 8 when t = 9.
  21. 21.Find the value of 8m − 13 when m = 12.
  22. 22.Find the value of 4m − 28 when m = 9.
  23. 23.Solve: y ÷ 11 = 15. What is y?
  24. 24.Solve: x − 4 = 8. What is x?
  25. 25.Find the value of 2a + 5b when a = 6 and b = 8.
  26. 26.Solve: m − 2 = 10. What is m?
  27. 27.Find the value of 5a + 8b when a = 2 and b = 6.
  28. 28.Find the value of 7a + 2b when a = 4 and b = 10.
  29. 29.Ishaan shares p crayons equally among 5 friends. Which expression shows how many crayons each friend gets? (a) p + 5 (b) p − 5 (c) 5p (d) p ÷ 5
  30. 30.Find the value of 5x + 4 when x = 12.
  31. 31.Find the value of 6x − 67 when x = 12.
  32. 32.Aarav has k mangoes. A friend has 2 times as many. Which expression shows how many mangoes the friend has? (a) k ÷ 2 (b) k − 2 (c) 2k (d) k + 2
  33. 33.Find the value of 8a + 5b when a = 6 and b = 10.
  34. 34.Find the value of 6a + 6b when a = 5 and b = 6.
  35. 35.Solve: x + 3 = 14. What is x?
  36. 36.Solve: m − 9 = 16. What is m?
  37. 37.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  38. 38.Karan shares k bananas equally among 4 friends. Which expression shows how many bananas each friend gets? (a) k ÷ 4 (b) 4k (c) k + 4 (d) k − 4
  39. 39.Find the value of 4a + 6b when a = 5 and b = 3.
  40. 40.Solve: 6m = 18. What is m?

Answer key

  1. 38
  2. 7
  3. 15
  4. k ÷ 4
  5. p + 7
  6. 4
  7. 46
  8. m ÷ 4
  9. 2
  10. 15
  11. 6k
  12. k + 3
  13. 1
  14. 65
  15. 78
  16. 42
  17. 30
  18. 11
  19. 153
  20. 55
  21. 83
  22. 8
  23. 165
  24. 12
  25. 52
  26. 12
  27. 58
  28. 48
  29. p ÷ 5
  30. 64
  31. 5
  32. 2k
  33. 98
  34. 66
  35. 11
  36. 25
  37. 34
  38. k ÷ 4
  39. 38
  40. 3

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