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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 391 · 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: m ÷ 4 = 5. What is m?
  2. 2.Solve: m ÷ 6 = 18. What is m?
  3. 3.Find the value of 3p + 1 when p = 8.
  4. 4.Sneha has p kites. A friend has 2 fewer. Which expression shows how many kites the friend has? (a) 2p (b) p − 2 (c) p ÷ 2 (d) p + 2
  5. 5.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  6. 6.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
  7. 7.Find the value of 4t − 13 when t = 4.
  8. 8.Solve: p + 10 = 24. What is p?
  9. 9.Isha has k balloons. A friend has 4 fewer. Which expression shows how many balloons the friend has? (a) k + 4 (b) k ÷ 4 (c) 4k (d) k − 4
  10. 10.Find the value of 7t − 10 when t = 10.
  11. 11.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  12. 12.Solve: 2m = 30. What is m?
  13. 13.Find the value of 8x + 19 when x = 11.
  14. 14.Find the value of 3a + 6b when a = 5 and b = 3.
  15. 15.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  16. 16.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
  17. 17.Solve: y − 4 = 20. What is y?
  18. 18.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  19. 19.Farhan shares n kites equally among 2 friends. Which expression shows how many kites each friend gets? (a) 2n (b) n + 2 (c) n − 2 (d) n ÷ 2
  20. 20.Find the value of 6p + 9 when p = 1.
  21. 21.Find the value of 3a + 9b when a = 4 and b = 8.
  22. 22.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
  23. 23.Find the value of 7t + 4 when t = 8.
  24. 24.Find the value of 8n − 54 when n = 11.
  25. 25.Solve: y − 3 = 4. What is y?
  26. 26.Find the value of 3a + 4b when a = 4 and b = 6.
  27. 27.Solve: n − 10 = 12. What is n?
  28. 28.Solve: m ÷ 3 = 10. What is m?
  29. 29.Find the value of 6m − 13 when m = 4.
  30. 30.Find the value of 3n + 3 when n = 2.
  31. 31.Find the value of 8t − 23 when t = 12.
  32. 32.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  33. 33.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  34. 34.Find the value of 8p + 17 when p = 6.
  35. 35.Find the value of 4n + 18 when n = 1.
  36. 36.Find the value of 7x + 5 when x = 4.
  37. 37.Solve: m − 4 = 14. What is m?
  38. 38.Solve: m − 8 = 20. What is m?
  39. 39.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
  40. 40.Solve: n + 2 = 5. What is n?

Answer key

  1. 20
  2. 108
  3. 25
  4. p − 2
  5. 44
  6. 80
  7. 3
  8. 14
  9. k − 4
  10. 60
  11. 48
  12. 15
  13. 107
  14. 33
  15. 75
  16. 40
  17. 24
  18. 66
  19. n ÷ 2
  20. 15
  21. 84
  22. 28
  23. 60
  24. 34
  25. 7
  26. 36
  27. 22
  28. 30
  29. 11
  30. 9
  31. 73
  32. 75
  33. 81
  34. 65
  35. 22
  36. 33
  37. 18
  38. 28
  39. 20
  40. 3

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