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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 533 · 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 3t − 4 when t = 11.
  2. 2.Solve: p + 5 = 19. What is p?
  3. 3.Solve: 6x = 54. What is x?
  4. 4.Find the value of 9a + 7b when a = 1 and b = 1.
  5. 5.Solve: n − 3 = 2. What is n?
  6. 6.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
  7. 7.Gurpreet has k mangoes. A friend has 4 more. Which expression shows how many mangoes the friend has? (a) k − 4 (b) k ÷ 4 (c) 4k (d) k + 4
  8. 8.Find the value of 4a + 8b when a = 4 and b = 4.
  9. 9.Manav has n flowers. A friend has 6 times as many. Which expression shows how many flowers the friend has? (a) n + 6 (b) n ÷ 6 (c) n − 6 (d) 6n
  10. 10.Find the value of 3p − 7 when p = 12.
  11. 11.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  12. 12.Solve: m − 2 = 9. What is m?
  13. 13.Find the value of 3t + 1 when t = 5.
  14. 14.Solve: n ÷ 3 = 1. What is n?
  15. 15.Find the value of 6p − 28 when p = 6.
  16. 16.Find the value of 7m + 15 when m = 8.
  17. 17.Solve: 10p = 170. What is p?
  18. 18.Find the value of 9a + 9b when a = 9 and b = 4.
  19. 19.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  20. 20.Find the value of 9a + 6b when a = 5 and b = 1.
  21. 21.Find the value of 2t − 6 when t = 4.
  22. 22.Find the value of 8a + 8b when a = 9 and b = 5.
  23. 23.Find the value of 8m + 17 when m = 5.
  24. 24.Aditya has n shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) n ÷ 3 (b) n − 3 (c) 3n (d) n + 3
  25. 25.Aarav shares n balls equally among 2 friends. Which expression shows how many balls each friend gets? (a) 2n (b) n − 2 (c) n ÷ 2 (d) n + 2
  26. 26.Ananya shares m laddoos equally among 2 friends. Which expression shows how many laddoos each friend gets? (a) m + 2 (b) m − 2 (c) m ÷ 2 (d) 2m
  27. 27.Saanvi has p laddoos. A friend has 3 times as many. Which expression shows how many laddoos the friend has? (a) p + 3 (b) 3p (c) p ÷ 3 (d) p − 3
  28. 28.Solve: t + 9 = 22. What is t?
  29. 29.Solve: t + 4 = 19. What is t?
  30. 30.Find the value of 6p − 9 when p = 10.
  31. 31.Solve: 6n = 66. What is n?
  32. 32.Solve: y + 3 = 14. What is y?
  33. 33.Find the value of 2a + 3b when a = 7 and b = 10.
  34. 34.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
  35. 35.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  36. 36.Solve: p ÷ 11 = 6. What is p?
  37. 37.Solve: 3m = 18. What is m?
  38. 38.Solve: n − 6 = 18. What is n?
  39. 39.Find the value of 6m − 15 when m = 7.
  40. 40.Meera has m bananas. A friend has 9 fewer. Which expression shows how many bananas the friend has? (a) 9m (b) m − 9 (c) m ÷ 9 (d) m + 9

Answer key

  1. 29
  2. 14
  3. 9
  4. 16
  5. 5
  6. 48
  7. k + 4
  8. 48
  9. 6n
  10. 29
  11. 87
  12. 11
  13. 16
  14. 3
  15. 8
  16. 71
  17. 17
  18. 117
  19. 18
  20. 51
  21. 2
  22. 112
  23. 57
  24. n − 3
  25. n ÷ 2
  26. m ÷ 2
  27. 3p
  28. 13
  29. 15
  30. 51
  31. 11
  32. 11
  33. 44
  34. 38
  35. 21
  36. 66
  37. 6
  38. 24
  39. 27
  40. m − 9

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