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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 238 · 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.Sneha has n balls. A friend has 8 fewer. Which expression shows how many balls the friend has? (a) n + 8 (b) n − 8 (c) n ÷ 8 (d) 8n
  2. 2.Find the value of 9t + 5 when t = 10.
  3. 3.Solve: m − 5 = 4. What is m?
  4. 4.Find the value of 4x + 15 when x = 4.
  5. 5.Find the value of 8p − 7 when p = 3.
  6. 6.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
  7. 7.Find the value of 2m − 2 when m = 5.
  8. 8.Vivaan shares m flowers equally among 7 friends. Which expression shows how many flowers each friend gets? (a) 7m (b) m + 7 (c) m − 7 (d) m ÷ 7
  9. 9.Find the value of 6a + 9b when a = 10 and b = 2.
  10. 10.Solve: m ÷ 9 = 20. What is m?
  11. 11.Solve: p − 4 = 6. What is p?
  12. 12.Find the value of 2a + 8b when a = 5 and b = 2.
  13. 13.Find the value of 7x − 7 when x = 2.
  14. 14.Find the value of 4y − 7 when y = 5.
  15. 15.Solve: m + 2 = 4. What is m?
  16. 16.Find the value of 9m − 39 when m = 10.
  17. 17.Find the value of 2y − 1 when y = 10.
  18. 18.Dev has n pencils. A friend has 9 times as many. Which expression shows how many pencils the friend has? (a) 9n (b) n ÷ 9 (c) n + 9 (d) n − 9
  19. 19.Solve: n + 10 = 28. What is n?
  20. 20.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  21. 21.Find the value of 7x − 20 when x = 9.
  22. 22.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  23. 23.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  24. 24.Find the value of 3n − 8 when n = 5.
  25. 25.Find the value of 4n − 14 when n = 8.
  26. 26.Find the value of 7a + 4b when a = 3 and b = 8.
  27. 27.Find the value of 4y − 1 when y = 1.
  28. 28.Saanvi has n shells. A friend has 3 more. Which expression shows how many shells the friend has? (a) 3n (b) n ÷ 3 (c) n − 3 (d) n + 3
  29. 29.Solve: 7t = 35. What is t?
  30. 30.Find the value of 3x + 2 when x = 4.
  31. 31.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 17 letters?
  32. 32.Find the value of 9a + 6b when a = 6 and b = 7.
  33. 33.Sneha shares p laddoos equally among 5 friends. Which expression shows how many laddoos each friend gets? (a) p ÷ 5 (b) p − 5 (c) 5p (d) p + 5
  34. 34.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  35. 35.Aarav has k bananas. A friend has 5 fewer. Which expression shows how many bananas the friend has? (a) k + 5 (b) 5k (c) k ÷ 5 (d) k − 5
  36. 36.Find the value of 8a + 9b when a = 5 and b = 8.
  37. 37.Solve: 3p = 21. What is p?
  38. 38.Find the value of 3y + 3 when y = 1.
  39. 39.Find the value of 5m + 3 when m = 10.
  40. 40.Find the value of 5y − 23 when y = 5.

Answer key

  1. n − 8
  2. 95
  3. 9
  4. 31
  5. 17
  6. 60
  7. 8
  8. m ÷ 7
  9. 78
  10. 180
  11. 10
  12. 26
  13. 7
  14. 13
  15. 2
  16. 51
  17. 19
  18. 9n
  19. 18
  20. 75
  21. 43
  22. 44
  23. 48
  24. 7
  25. 18
  26. 53
  27. 3
  28. n + 3
  29. 5
  30. 14
  31. 68
  32. 96
  33. p ÷ 5
  34. 39
  35. k − 5
  36. 112
  37. 7
  38. 6
  39. 53
  40. 2

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