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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 343 · 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.Solve: n + 2 = 5. What is n?
  2. 2.Find the value of 4y − 10 when y = 11.
  3. 3.Solve: x + 3 = 18. What is x?
  4. 4.Find the value of 8a + 6b when a = 3 and b = 8.
  5. 5.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
  6. 6.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 17 letters?
  7. 7.Find the value of 6a + 6b when a = 5 and b = 7.
  8. 8.Find the value of 2t + 8 when t = 4.
  9. 9.Solve: 11t = 187. What is t?
  10. 10.Find the value of 8n + 16 when n = 7.
  11. 11.Find the value of 4a + 8b when a = 6 and b = 8.
  12. 12.Solve: m ÷ 2 = 17. What is m?
  13. 13.Farhan shares n pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) n + 7 (b) n ÷ 7 (c) n − 7 (d) 7n
  14. 14.Find the value of 5p + 9 when p = 11.
  15. 15.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  16. 16.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  17. 17.Find the value of 2x − 11 when x = 8.
  18. 18.Find the value of 5a + 4b when a = 4 and b = 9.
  19. 19.Find the value of 4t + 11 when t = 5.
  20. 20.Solve: p ÷ 8 = 6. What is p?
  21. 21.Solve: y ÷ 3 = 17. What is y?
  22. 22.Find the value of 3x + 8 when x = 11.
  23. 23.Find the value of 2a + 4b when a = 4 and b = 1.
  24. 24.Find the value of 8a + 3b when a = 6 and b = 5.
  25. 25.Find the value of 6p − 32 when p = 6.
  26. 26.Solve: 6p = 96. What is p?
  27. 27.Aarav has p kites. A friend has 3 times as many. Which expression shows how many kites the friend has? (a) p + 3 (b) p ÷ 3 (c) 3p (d) p − 3
  28. 28.Find the value of 4p + 14 when p = 3.
  29. 29.Find the value of 3a + 8b when a = 4 and b = 9.
  30. 30.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  31. 31.Find the value of 6a + 3b when a = 2 and b = 7.
  32. 32.Solve: 3n = 9. What is n?
  33. 33.Find the value of 7a + 9b when a = 5 and b = 7.
  34. 34.Solve: m ÷ 8 = 6. What is m?
  35. 35.Rohan has m balls. A friend has 9 times as many. Which expression shows how many balls the friend has? (a) m + 9 (b) m − 9 (c) m ÷ 9 (d) 9m
  36. 36.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  37. 37.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  38. 38.Solve: t − 10 = 10. What is t?
  39. 39.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
  40. 40.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?

Answer key

  1. 3
  2. 34
  3. 15
  4. 72
  5. 38
  6. 68
  7. 72
  8. 16
  9. 17
  10. 72
  11. 88
  12. 34
  13. n ÷ 7
  14. 64
  15. 39
  16. 27
  17. 5
  18. 56
  19. 31
  20. 48
  21. 51
  22. 41
  23. 12
  24. 63
  25. 4
  26. 16
  27. 3p
  28. 26
  29. 84
  30. 57
  31. 33
  32. 3
  33. 98
  34. 48
  35. 9m
  36. 66
  37. 21
  38. 20
  39. 76
  40. 60

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