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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 351 · 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 crayons. A friend has 8 times as many. Which expression shows how many crayons the friend has? (a) n ÷ 8 (b) n − 8 (c) n + 8 (d) 8n
  2. 2.Find the value of 9n − 93 when n = 12.
  3. 3.Find the value of 3m − 18 when m = 9.
  4. 4.Solve: 11y = 77. What is y?
  5. 5.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  6. 6.Arjun 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
  7. 7.Find the value of 5a + 9b when a = 7 and b = 6.
  8. 8.Find the value of 8a + 3b when a = 2 and b = 10.
  9. 9.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  10. 10.Solve: t + 4 = 14. What is t?
  11. 11.Find the value of 7a + 7b when a = 9 and b = 3.
  12. 12.Find the value of 9x + 14 when x = 6.
  13. 13.Solve: x + 4 = 10. What is x?
  14. 14.Find the value of 5n − 4 when n = 6.
  15. 15.Find the value of 6t + 1 when t = 12.
  16. 16.Find the value of 4n + 16 when n = 5.
  17. 17.Find the value of 4p + 1 when p = 12.
  18. 18.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  19. 19.Solve: y ÷ 3 = 18. What is y?
  20. 20.Find the value of 7t + 2 when t = 1.
  21. 21.Solve: m ÷ 9 = 19. What is m?
  22. 22.Aditya shares k pencils equally among 8 friends. Which expression shows how many pencils each friend gets? (a) 8k (b) k + 8 (c) k ÷ 8 (d) k − 8
  23. 23.Solve: t ÷ 8 = 20. What is t?
  24. 24.Find the value of 3a + 2b when a = 4 and b = 10.
  25. 25.Solve: y ÷ 7 = 4. What is y?
  26. 26.Find the value of 2a + 9b when a = 5 and b = 6.
  27. 27.Solve: x + 5 = 22. What is x?
  28. 28.Find the value of 4x − 17 when x = 9.
  29. 29.Find the value of 7x − 11 when x = 8.
  30. 30.Rohan has n crayons. A friend has 9 times as many. Which expression shows how many crayons the friend has? (a) 9n (b) n ÷ 9 (c) n + 9 (d) n − 9
  31. 31.Solve: m − 4 = 16. What is m?
  32. 32.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 18 letters?
  33. 33.Solve: n ÷ 8 = 13. What is n?
  34. 34.Kavya has n pencils. A friend has 9 more. Which expression shows how many pencils the friend has? (a) n ÷ 9 (b) n + 9 (c) 9n (d) n − 9
  35. 35.Find the value of 8m − 1 when m = 2.
  36. 36.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  37. 37.Find the value of 7a + 7b when a = 6 and b = 2.
  38. 38.Find the value of 9y + 18 when y = 12.
  39. 39.Pooja has m shells. A friend has 6 more. Which expression shows how many shells the friend has? (a) m ÷ 6 (b) 6m (c) m + 6 (d) m − 6
  40. 40.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?

Answer key

  1. 8n
  2. 15
  3. 9
  4. 7
  5. 50
  6. p ÷ 5
  7. 89
  8. 46
  9. 22
  10. 10
  11. 84
  12. 68
  13. 6
  14. 26
  15. 73
  16. 36
  17. 49
  18. 27
  19. 54
  20. 9
  21. 171
  22. k ÷ 8
  23. 160
  24. 32
  25. 28
  26. 64
  27. 17
  28. 19
  29. 45
  30. 9n
  31. 20
  32. 72
  33. 104
  34. n + 9
  35. 15
  36. 14
  37. 56
  38. 126
  39. m + 6
  40. 90

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