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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 90 · 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 9p − 13 when p = 4.
  2. 2.Find the value of 8p + 2 when p = 1.
  3. 3.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  4. 4.Find the value of 9a + 8b when a = 8 and b = 2.
  5. 5.Find the value of 2t + 20 when t = 1.
  6. 6.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
  7. 7.Solve: m ÷ 2 = 16. What is m?
  8. 8.Diya has m kites. A friend has 8 more. Which expression shows how many kites the friend has? (a) m ÷ 8 (b) 8m (c) m + 8 (d) m − 8
  9. 9.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
  10. 10.Solve: x − 4 = 2. What is x?
  11. 11.Find the value of 5a + 2b when a = 9 and b = 8.
  12. 12.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  13. 13.Find the value of 8a + 5b when a = 7 and b = 1.
  14. 14.Solve: 2p = 8. What is p?
  15. 15.Find the value of 2n + 6 when n = 3.
  16. 16.Solve: 6p = 90. What is p?
  17. 17.Solve: n − 2 = 14. What is n?
  18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
  19. 19.Find the value of 5a + 4b when a = 9 and b = 10.
  20. 20.Gurpreet shares n balloons equally among 8 friends. Which expression shows how many balloons each friend gets? (a) n + 8 (b) n ÷ 8 (c) n − 8 (d) 8n
  21. 21.Find the value of 6p + 6 when p = 6.
  22. 22.Find the value of 8x + 12 when x = 11.
  23. 23.Find the value of 8y + 5 when y = 7.
  24. 24.Find the value of 8n − 28 when n = 9.
  25. 25.Find the value of 2a + 6b when a = 8 and b = 8.
  26. 26.Find the value of 7n − 13 when n = 10.
  27. 27.Find the value of 3a + 8b when a = 5 and b = 1.
  28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
  29. 29.Tara has p pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) p + 6 (b) p ÷ 6 (c) p − 6 (d) 6p
  30. 30.Find the value of 4a + 3b when a = 7 and b = 7.
  31. 31.Find the value of 7a + 3b when a = 7 and b = 1.
  32. 32.Find the value of 3m − 1 when m = 1.
  33. 33.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  34. 34.Find the value of 2x − 1 when x = 2.
  35. 35.Find the value of 3t + 5 when t = 6.
  36. 36.Find the value of 2a + 8b when a = 10 and b = 5.
  37. 37.Solve: y ÷ 7 = 12. What is y?
  38. 38.Ishaan shares m kites equally among 4 friends. Which expression shows how many kites each friend gets? (a) m − 4 (b) m + 4 (c) m ÷ 4 (d) 4m
  39. 39.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  40. 40.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?

Answer key

  1. 23
  2. 10
  3. 10
  4. 88
  5. 22
  6. 54
  7. 32
  8. m + 8
  9. 90
  10. 6
  11. 61
  12. 27
  13. 61
  14. 4
  15. 12
  16. 15
  17. 16
  18. 36
  19. 85
  20. n ÷ 8
  21. 42
  22. 100
  23. 61
  24. 44
  25. 64
  26. 57
  27. 23
  28. 42
  29. p + 6
  30. 49
  31. 52
  32. 2
  33. 27
  34. 3
  35. 23
  36. 60
  37. 84
  38. m ÷ 4
  39. 16
  40. 15

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