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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 625 · 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.Solve: 8t = 16. What is t?
  2. 2.Find the value of 9a + 5b when a = 8 and b = 7.
  3. 3.Solve: 2n = 26. What is n?
  4. 4.Solve: n + 4 = 10. What is n?
  5. 5.Find the value of 5t + 16 when t = 11.
  6. 6.Find the value of 2a + 2b when a = 4 and b = 2.
  7. 7.Find the value of 3m + 6 when m = 9.
  8. 8.Find the value of 2t + 18 when t = 9.
  9. 9.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  10. 10.Find the value of 4a + 2b when a = 1 and b = 6.
  11. 11.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  12. 12.Find the value of 9a + 3b when a = 8 and b = 9.
  13. 13.Tara has p balloons. A friend has 2 times as many. Which expression shows how many balloons the friend has? (a) p − 2 (b) p + 2 (c) p ÷ 2 (d) 2p
  14. 14.Find the value of 4n + 5 when n = 7.
  15. 15.Manav has p shells. A friend has 8 more. Which expression shows how many shells the friend has? (a) p ÷ 8 (b) p + 8 (c) 8p (d) p − 8
  16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  17. 17.Find the value of 6x − 11 when x = 3.
  18. 18.Ishaan has n mangoes. A friend has 3 fewer. Which expression shows how many mangoes the friend has? (a) 3n (b) n ÷ 3 (c) n + 3 (d) n − 3
  19. 19.Find the value of 3m + 20 when m = 9.
  20. 20.Find the value of 5m − 5 when m = 10.
  21. 21.Find the value of 7y − 55 when y = 10.
  22. 22.Solve: y − 6 = 12. What is y?
  23. 23.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  24. 24.Farhan has n pencils. A friend has 3 fewer. Which expression shows how many pencils the friend has? (a) n + 3 (b) n ÷ 3 (c) n − 3 (d) 3n
  25. 25.Find the value of 4y − 17 when y = 5.
  26. 26.Nisha shares p balls equally among 9 friends. Which expression shows how many balls each friend gets? (a) 9p (b) p + 9 (c) p − 9 (d) p ÷ 9
  27. 27.Solve: t + 7 = 17. What is t?
  28. 28.Kabir shares p balloons equally among 8 friends. Which expression shows how many balloons each friend gets? (a) 8p (b) p ÷ 8 (c) p + 8 (d) p − 8
  29. 29.Find the value of 5x + 12 when x = 11.
  30. 30.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  31. 31.Find the value of 2y − 5 when y = 3.
  32. 32.Find the value of 5x + 11 when x = 5.
  33. 33.Solve: 10p = 190. What is p?
  34. 34.Find the value of 2p + 8 when p = 2.
  35. 35.Find the value of 2a + 4b when a = 8 and b = 8.
  36. 36.Solve: 12m = 240. What is m?
  37. 37.Solve: x ÷ 6 = 18. What is x?
  38. 38.Find the value of 7a + 5b when a = 3 and b = 7.
  39. 39.Find the value of 8a + 8b when a = 3 and b = 9.
  40. 40.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?

Answer key

  1. 2
  2. 107
  3. 13
  4. 6
  5. 71
  6. 12
  7. 33
  8. 36
  9. 45
  10. 16
  11. 42
  12. 99
  13. 2p
  14. 33
  15. p + 8
  16. 14
  17. 7
  18. n − 3
  19. 47
  20. 45
  21. 15
  22. 18
  23. 14
  24. n − 3
  25. 3
  26. p ÷ 9
  27. 10
  28. p ÷ 8
  29. 67
  30. 32
  31. 1
  32. 36
  33. 19
  34. 12
  35. 48
  36. 20
  37. 108
  38. 56
  39. 96
  40. 54

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