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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 534 · 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 4n + 3 when n = 5.
  2. 2.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
  3. 3.Gurpreet has p crayons. A friend has 5 times as many. Which expression shows how many crayons the friend has? (a) p ÷ 5 (b) 5p (c) p − 5 (d) p + 5
  4. 4.Manav has p books. A friend has 9 fewer. Which expression shows how many books the friend has? (a) p + 9 (b) p − 9 (c) p ÷ 9 (d) 9p
  5. 5.Find the value of 2a + 3b when a = 5 and b = 8.
  6. 6.Find the value of 3a + 4b when a = 2 and b = 6.
  7. 7.Find the value of 4t − 15 when t = 6.
  8. 8.Solve: x + 5 = 11. What is x?
  9. 9.Solve: 12m = 84. What is m?
  10. 10.Riya has m balloons. A friend has 6 fewer. Which expression shows how many balloons the friend has? (a) m − 6 (b) m ÷ 6 (c) m + 6 (d) 6m
  11. 11.Solve: t ÷ 5 = 6. What is t?
  12. 12.Tara has k pencils. A friend has 3 fewer. Which expression shows how many pencils the friend has? (a) k − 3 (b) 3k (c) k ÷ 3 (d) k + 3
  13. 13.Find the value of 6a + 4b when a = 7 and b = 4.
  14. 14.Find the value of 4p + 4 when p = 10.
  15. 15.Find the value of 7t − 46 when t = 8.
  16. 16.Solve: y − 5 = 17. What is y?
  17. 17.Find the value of 5y + 7 when y = 6.
  18. 18.Find the value of 7t − 28 when t = 8.
  19. 19.Find the value of 7p + 5 when p = 9.
  20. 20.Find the value of 4x + 12 when x = 10.
  21. 21.Solve: n − 10 = 1. What is n?
  22. 22.Solve: p ÷ 3 = 5. What is p?
  23. 23.Find the value of 3a + 9b when a = 10 and b = 3.
  24. 24.Solve: x + 2 = 9. What is x?
  25. 25.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  26. 26.Find the value of 4y + 13 when y = 11.
  27. 27.Find the value of 8n + 16 when n = 11.
  28. 28.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
  29. 29.Find the value of 8y − 2 when y = 6.
  30. 30.Riya shares p laddoos equally among 5 friends. Which expression shows how many laddoos each friend gets? (a) p + 5 (b) p − 5 (c) 5p (d) p ÷ 5
  31. 31.Solve: y + 7 = 13. What is y?
  32. 32.Solve: 9y = 108. What is y?
  33. 33.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
  34. 34.Solve: t ÷ 5 = 10. What is t?
  35. 35.Find the value of 5t + 13 when t = 12.
  36. 36.Find the value of 2a + 3b when a = 3 and b = 8.
  37. 37.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
  38. 38.Find the value of 2a + 4b when a = 9 and b = 2.
  39. 39.Find the value of 8a + 9b when a = 1 and b = 8.
  40. 40.Find the value of 6x + 5 when x = 1.

Answer key

  1. 23
  2. 36
  3. 5p
  4. p − 9
  5. 34
  6. 30
  7. 9
  8. 6
  9. 7
  10. m − 6
  11. 30
  12. k − 3
  13. 58
  14. 44
  15. 10
  16. 22
  17. 37
  18. 28
  19. 68
  20. 52
  21. 11
  22. 15
  23. 57
  24. 7
  25. 87
  26. 57
  27. 104
  28. 96
  29. 46
  30. p ÷ 5
  31. 6
  32. 12
  33. 51
  34. 50
  35. 73
  36. 30
  37. 48
  38. 26
  39. 80
  40. 11

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