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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 313 · 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.Lakshmi has p laddoos. A friend has 8 fewer. Which expression shows how many laddoos the friend has? (a) p + 8 (b) p ÷ 8 (c) 8p (d) p − 8
  2. 2.Find the value of 3a + 8b when a = 2 and b = 2.
  3. 3.Solve: n + 2 = 15. What is n?
  4. 4.Find the value of 5t + 6 when t = 12.
  5. 5.Find the value of 2a + 6b when a = 8 and b = 3.
  6. 6.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  7. 7.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  8. 8.Find the value of 8a + 7b when a = 8 and b = 8.
  9. 9.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  10. 10.Find the value of 5x − 2 when x = 4.
  11. 11.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  12. 12.Find the value of 9a + 6b when a = 2 and b = 10.
  13. 13.Sneha has n pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) 6n (b) n ÷ 6 (c) n − 6 (d) n + 6
  14. 14.Solve: m − 5 = 16. What is m?
  15. 15.Solve: x − 7 = 5. What is x?
  16. 16.Find the value of 3m − 2 when m = 1.
  17. 17.Solve: m + 10 = 14. What is m?
  18. 18.Find the value of 7t − 33 when t = 5.
  19. 19.Find the value of 2a + 7b when a = 10 and b = 7.
  20. 20.Find the value of 7a + 9b when a = 3 and b = 9.
  21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  22. 22.Solve: 6y = 18. What is y?
  23. 23.Find the value of 3t + 15 when t = 1.
  24. 24.Find the value of 3m + 5 when m = 7.
  25. 25.Solve: m + 7 = 24. What is m?
  26. 26.Solve: m ÷ 3 = 1. What is m?
  27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
  28. 28.Solve: 5y = 30. What is y?
  29. 29.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  30. 30.Solve: n − 7 = 4. What is n?
  31. 31.Find the value of 3y − 2 when y = 2.
  32. 32.Find the value of 6x − 3 when x = 8.
  33. 33.Find the value of 4a + 8b when a = 5 and b = 4.
  34. 34.Vivaan shares m bananas equally among 9 friends. Which expression shows how many bananas each friend gets? (a) m − 9 (b) m + 9 (c) 9m (d) m ÷ 9
  35. 35.Nisha shares n bananas equally among 2 friends. Which expression shows how many bananas each friend gets? (a) 2n (b) n + 2 (c) n ÷ 2 (d) n − 2
  36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  37. 37.Find the value of 5a + 2b when a = 3 and b = 7.
  38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
  39. 39.Solve: 5y = 35. What is y?
  40. 40.Find the value of 7p − 19 when p = 3.

Answer key

  1. p − 8
  2. 22
  3. 13
  4. 66
  5. 34
  6. 22
  7. 63
  8. 120
  9. 18
  10. 18
  11. 72
  12. 78
  13. n + 6
  14. 21
  15. 12
  16. 1
  17. 4
  18. 2
  19. 69
  20. 102
  21. 40
  22. 3
  23. 18
  24. 26
  25. 17
  26. 3
  27. 30
  28. 6
  29. 72
  30. 11
  31. 4
  32. 45
  33. 52
  34. m ÷ 9
  35. n ÷ 2
  36. 48
  37. 29
  38. 30
  39. 7
  40. 2

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