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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 301 · 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 8a + 3b when a = 4 and b = 4.
  2. 2.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  3. 3.Find the value of 3x − 20 when x = 8.
  4. 4.Solve: x − 12 = 2. What is x?
  5. 5.Solve: n ÷ 11 = 7. What is n?
  6. 6.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  7. 7.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  8. 8.Solve: m + 11 = 16. What is m?
  9. 9.Find the value of 6x + 19 when x = 3.
  10. 10.Find the value of 3n − 1 when n = 3.
  11. 11.Nisha shares m pencils equally among 4 friends. Which expression shows how many pencils each friend gets? (a) m + 4 (b) m − 4 (c) 4m (d) m ÷ 4
  12. 12.Aarav has m balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) m − 6 (b) m ÷ 6 (c) 6m (d) m + 6
  13. 13.Find the value of 6a + 2b when a = 8 and b = 2.
  14. 14.Kavya has n balls. A friend has 3 times as many. Which expression shows how many balls the friend has? (a) 3n (b) n + 3 (c) n ÷ 3 (d) n − 3
  15. 15.Solve: y ÷ 4 = 15. What is y?
  16. 16.Find the value of 6a + 4b when a = 10 and b = 4.
  17. 17.Find the value of 6t − 7 when t = 6.
  18. 18.Find the value of 3a + 6b when a = 6 and b = 9.
  19. 19.Solve: p + 2 = 17. What is p?
  20. 20.Saanvi has m marbles. A friend has 2 fewer. Which expression shows how many marbles the friend has? (a) m + 2 (b) 2m (c) m − 2 (d) m ÷ 2
  21. 21.Find the value of 9a + 6b when a = 4 and b = 3.
  22. 22.Karan has n pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) n ÷ 5 (b) n + 5 (c) n − 5 (d) 5n
  23. 23.Find the value of 6p − 7 when p = 5.
  24. 24.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  25. 25.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  26. 26.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
  27. 27.Find the value of 8x − 18 when x = 10.
  28. 28.Solve: 3y = 27. What is y?
  29. 29.Find the value of 6p + 14 when p = 4.
  30. 30.Find the value of 3n + 9 when n = 2.
  31. 31.Solve: t ÷ 3 = 19. What is t?
  32. 32.Priya has n laddoos. A friend has 4 more. Which expression shows how many laddoos the friend has? (a) 4n (b) n − 4 (c) n ÷ 4 (d) n + 4
  33. 33.Find the value of 5p − 32 when p = 9.
  34. 34.Find the value of 4t − 2 when t = 1.
  35. 35.Find the value of 2t − 9 when t = 8.
  36. 36.Find the value of 6a + 8b when a = 5 and b = 9.
  37. 37.Find the value of 9a + 2b when a = 5 and b = 4.
  38. 38.Solve: y − 6 = 3. What is y?
  39. 39.Solve: 8y = 32. What is y?
  40. 40.Find the value of 6p + 14 when p = 10.

Answer key

  1. 44
  2. 24
  3. 4
  4. 14
  5. 77
  6. 46
  7. 18
  8. 5
  9. 37
  10. 8
  11. m ÷ 4
  12. m + 6
  13. 52
  14. 3n
  15. 60
  16. 76
  17. 29
  18. 72
  19. 15
  20. m − 2
  21. 54
  22. n + 5
  23. 23
  24. 48
  25. 69
  26. 90
  27. 62
  28. 9
  29. 38
  30. 15
  31. 57
  32. n + 4
  33. 13
  34. 2
  35. 7
  36. 102
  37. 53
  38. 9
  39. 4
  40. 74

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