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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 189 · 40 sums
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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 5a + 2b when a = 10 and b = 10.
  2. 2.Find the value of 6a + 4b when a = 10 and b = 1.
  3. 3.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  4. 4.Find the value of 4t + 7 when t = 3.
  5. 5.Find the value of 5n + 17 when n = 3.
  6. 6.Find the value of 8y + 16 when y = 5.
  7. 7.Find the value of 6a + 4b when a = 2 and b = 4.
  8. 8.Find the value of 3p − 3 when p = 8.
  9. 9.Kabir has p crayons. A friend has 7 times as many. Which expression shows how many crayons the friend has? (a) 7p (b) p ÷ 7 (c) p + 7 (d) p − 7
  10. 10.Solve: y − 6 = 17. What is y?
  11. 11.Find the value of 7y + 17 when y = 3.
  12. 12.Find the value of 4p − 3 when p = 5.
  13. 13.Find the value of 6m − 1 when m = 2.
  14. 14.Find the value of 5a + 4b when a = 7 and b = 7.
  15. 15.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  16. 16.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  17. 17.Solve: y + 4 = 19. What is y?
  18. 18.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
  19. 19.Find the value of 5x + 14 when x = 2.
  20. 20.Find the value of 8t − 21 when t = 9.
  21. 21.Solve: 5x = 30. What is x?
  22. 22.Isha shares n laddoos equally among 4 friends. Which expression shows how many laddoos each friend gets? (a) n − 4 (b) n ÷ 4 (c) n + 4 (d) 4n
  23. 23.Find the value of 3a + 9b when a = 10 and b = 5.
  24. 24.Find the value of 3p − 2 when p = 2.
  25. 25.Find the value of 3t − 9 when t = 6.
  26. 26.Find the value of 7a + 8b when a = 7 and b = 3.
  27. 27.Find the value of 8p − 14 when p = 10.
  28. 28.Find the value of 9n + 6 when n = 6.
  29. 29.Find the value of 5a + 2b when a = 2 and b = 1.
  30. 30.Solve: y ÷ 7 = 4. What is y?
  31. 31.Find the value of 4x + 15 when x = 11.
  32. 32.Solve: 10n = 180. What is n?
  33. 33.Solve: m + 4 = 11. What is m?
  34. 34.Find the value of 6m + 4 when m = 8.
  35. 35.Find the value of 8a + 8b when a = 9 and b = 3.
  36. 36.Isha has n shells. A friend has 4 times as many. Which expression shows how many shells the friend has? (a) n + 4 (b) n ÷ 4 (c) n − 4 (d) 4n
  37. 37.Find the value of 5a + 6b when a = 1 and b = 2.
  38. 38.Meera has m balloons. A friend has 2 more. Which expression shows how many balloons the friend has? (a) 2m (b) m − 2 (c) m + 2 (d) m ÷ 2
  39. 39.Find the value of 4p − 14 when p = 4.
  40. 40.Solve: x + 5 = 25. What is x?

Answer key

  1. 70
  2. 64
  3. 18
  4. 19
  5. 32
  6. 56
  7. 28
  8. 21
  9. 7p
  10. 23
  11. 38
  12. 17
  13. 11
  14. 63
  15. 42
  16. 52
  17. 15
  18. 51
  19. 24
  20. 51
  21. 6
  22. n ÷ 4
  23. 75
  24. 4
  25. 9
  26. 73
  27. 66
  28. 60
  29. 12
  30. 28
  31. 59
  32. 18
  33. 7
  34. 52
  35. 96
  36. 4n
  37. 17
  38. m + 2
  39. 2
  40. 20

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