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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 407 · 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 9n − 63 when n = 8.
  2. 2.Find the value of 6p − 5 when p = 5.
  3. 3.Find the value of 6n − 3 when n = 1.
  4. 4.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
  5. 5.Find the value of 8t − 81 when t = 11.
  6. 6.Find the value of 8n + 2 when n = 12.
  7. 7.Farhan has p kites. A friend has 3 fewer. Which expression shows how many kites the friend has? (a) 3p (b) p ÷ 3 (c) p + 3 (d) p − 3
  8. 8.Diya has p balls. A friend has 6 fewer. Which expression shows how many balls the friend has? (a) 6p (b) p ÷ 6 (c) p − 6 (d) p + 6
  9. 9.Find the value of 4a + 3b when a = 4 and b = 4.
  10. 10.Solve: 6p = 6. What is p?
  11. 11.Find the value of 2x + 6 when x = 12.
  12. 12.Find the value of 2a + 5b when a = 5 and b = 2.
  13. 13.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
  14. 14.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  15. 15.Solve: p + 2 = 6. What is p?
  16. 16.Solve: m ÷ 10 = 14. What is m?
  17. 17.Find the value of 2a + 3b when a = 10 and b = 9.
  18. 18.Isha shares p shells equally among 9 friends. Which expression shows how many shells each friend gets? (a) p + 9 (b) p − 9 (c) 9p (d) p ÷ 9
  19. 19.Find the value of 4a + 4b when a = 8 and b = 2.
  20. 20.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  21. 21.Find the value of 6a + 2b when a = 9 and b = 1.
  22. 22.Solve: y + 6 = 19. What is y?
  23. 23.Find the value of 6p + 18 when p = 4.
  24. 24.Find the value of 6a + 2b when a = 7 and b = 6.
  25. 25.Find the value of 8y + 18 when y = 3.
  26. 26.Find the value of 5a + 8b when a = 8 and b = 3.
  27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  28. 28.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  29. 29.Solve: y − 9 = 7. What is y?
  30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  31. 31.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 21 letters?
  32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  33. 33.Solve: y ÷ 5 = 1. What is y?
  34. 34.Find the value of 4x − 2 when x = 1.
  35. 35.Solve: 6p = 30. What is p?
  36. 36.Solve: p − 5 = 13. What is p?
  37. 37.Find the value of 3a + 4b when a = 4 and b = 10.
  38. 38.Solve: n + 12 = 13. What is n?
  39. 39.Find the value of 8m + 1 when m = 9.
  40. 40.Find the value of 2a + 7b when a = 7 and b = 2.

Answer key

  1. 9
  2. 25
  3. 3
  4. 20
  5. 7
  6. 98
  7. p − 3
  8. p − 6
  9. 28
  10. 1
  11. 30
  12. 20
  13. 24
  14. 24
  15. 4
  16. 140
  17. 47
  18. p ÷ 9
  19. 40
  20. 21
  21. 56
  22. 13
  23. 42
  24. 54
  25. 42
  26. 64
  27. 14
  28. 46
  29. 16
  30. 42
  31. 84
  32. 60
  33. 5
  34. 2
  35. 5
  36. 18
  37. 52
  38. 1
  39. 73
  40. 28

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