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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 224 · 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 9x + 6 when x = 7.
  2. 2.Solve: n + 2 = 20. What is n?
  3. 3.Find the value of 4m − 20 when m = 12.
  4. 4.Find the value of 2p + 4 when p = 2.
  5. 5.Solve: x − 9 = 4. What is x?
  6. 6.Find the value of 2n + 15 when n = 5.
  7. 7.Find the value of 9a + 7b when a = 1 and b = 4.
  8. 8.Solve: p + 3 = 21. What is p?
  9. 9.Solve: 2p = 4. What is p?
  10. 10.Solve: 12y = 168. What is y?
  11. 11.Arjun has k balloons. A friend has 6 more. Which expression shows how many balloons the friend has? (a) k ÷ 6 (b) 6k (c) k + 6 (d) k − 6
  12. 12.Solve: 7t = 105. What is t?
  13. 13.Find the value of 7a + 6b when a = 3 and b = 6.
  14. 14.Solve: y ÷ 7 = 8. What is y?
  15. 15.Solve: 6y = 30. What is y?
  16. 16.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  17. 17.Find the value of 6a + 2b when a = 9 and b = 9.
  18. 18.Find the value of 7a + 5b when a = 3 and b = 3.
  19. 19.Find the value of 4n + 5 when n = 2.
  20. 20.Find the value of 2p + 20 when p = 11.
  21. 21.Find the value of 4n + 10 when n = 7.
  22. 22.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
  23. 23.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
  24. 24.Solve: m ÷ 5 = 19. What is m?
  25. 25.Find the value of 3m + 1 when m = 10.
  26. 26.Pooja has n crayons. A friend has 4 times as many. Which expression shows how many crayons the friend has? (a) n − 4 (b) n + 4 (c) n ÷ 4 (d) 4n
  27. 27.Find the value of 7x − 64 when x = 12.
  28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
  29. 29.Find the value of 2a + 6b when a = 4 and b = 4.
  30. 30.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 22 letters?
  31. 31.Find the value of 5t + 10 when t = 2.
  32. 32.Solve: 2t = 32. What is t?
  33. 33.Find the value of 7m + 3 when m = 10.
  34. 34.Find the value of 8a + 5b when a = 8 and b = 1.
  35. 35.Solve: t − 8 = 13. What is t?
  36. 36.Find the value of 3y − 5 when y = 3.
  37. 37.Sneha shares p pencils equally among 2 friends. Which expression shows how many pencils each friend gets? (a) p + 2 (b) 2p (c) p ÷ 2 (d) p − 2
  38. 38.Find the value of 4a + 2b when a = 2 and b = 8.
  39. 39.Riya shares n marbles equally among 3 friends. Which expression shows how many marbles each friend gets? (a) 3n (b) n + 3 (c) n ÷ 3 (d) n − 3
  40. 40.Find the value of 3t + 2 when t = 3.

Answer key

  1. 69
  2. 18
  3. 28
  4. 8
  5. 13
  6. 25
  7. 37
  8. 18
  9. 2
  10. 14
  11. k + 6
  12. 15
  13. 57
  14. 56
  15. 5
  16. 81
  17. 72
  18. 36
  19. 13
  20. 42
  21. 38
  22. 108
  23. 20
  24. 95
  25. 31
  26. 4n
  27. 20
  28. 42
  29. 32
  30. 88
  31. 20
  32. 16
  33. 73
  34. 69
  35. 21
  36. 4
  37. p ÷ 2
  38. 24
  39. n ÷ 3
  40. 11

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