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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 545 · 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 3p − 3 when p = 10.
  2. 2.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  3. 3.Solve: 10x = 50. What is x?
  4. 4.Kavya shares n balloons equally among 2 friends. Which expression shows how many balloons each friend gets? (a) n + 2 (b) n − 2 (c) 2n (d) n ÷ 2
  5. 5.Solve: y ÷ 12 = 7. What is y?
  6. 6.Solve: y − 2 = 10. What is y?
  7. 7.Solve: 4m = 48. What is m?
  8. 8.Find the value of 3p + 16 when p = 4.
  9. 9.Find the value of 2m + 9 when m = 1.
  10. 10.Solve: y ÷ 2 = 4. What is y?
  11. 11.Find the value of 4p + 5 when p = 1.
  12. 12.Kabir has n marbles. A friend has 9 times as many. Which expression shows how many marbles the friend has? (a) n ÷ 9 (b) n − 9 (c) 9n (d) n + 9
  13. 13.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  14. 14.Find the value of 5a + 2b when a = 2 and b = 10.
  15. 15.Solve: t − 7 = 1. What is t?
  16. 16.Find the value of 5a + 9b when a = 10 and b = 4.
  17. 17.Find the value of 3y − 3 when y = 6.
  18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 7 letters?
  19. 19.Find the value of 3n + 12 when n = 1.
  20. 20.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
  21. 21.Find the value of 4a + 3b when a = 2 and b = 8.
  22. 22.Find the value of 4n − 9 when n = 6.
  23. 23.Find the value of 5n + 4 when n = 10.
  24. 24.Find the value of 2m + 13 when m = 11.
  25. 25.Find the value of 4n − 1 when n = 1.
  26. 26.Find the value of 5a + 7b when a = 9 and b = 5.
  27. 27.Find the value of 6y + 13 when y = 6.
  28. 28.Solve: m + 11 = 28. What is m?
  29. 29.Find the value of 3a + 7b when a = 4 and b = 1.
  30. 30.Find the value of 7y − 39 when y = 9.
  31. 31.Solve: y − 10 = 2. What is y?
  32. 32.Saanvi has p pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) p + 3 (b) 3p (c) p ÷ 3 (d) p − 3
  33. 33.Find the value of 5n − 11 when n = 5.
  34. 34.Find the value of 2y − 1 when y = 6.
  35. 35.Solve: m − 6 = 10. What is m?
  36. 36.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  37. 37.Lakshmi has p laddoos. A friend has 3 fewer. Which expression shows how many laddoos the friend has? (a) 3p (b) p ÷ 3 (c) p + 3 (d) p − 3
  38. 38.Rohan has k balloons. A friend has 7 fewer. Which expression shows how many balloons the friend has? (a) 7k (b) k ÷ 7 (c) k − 7 (d) k + 7
  39. 39.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?

Answer key

  1. 27
  2. 56
  3. 5
  4. n ÷ 2
  5. 84
  6. 12
  7. 12
  8. 28
  9. 11
  10. 8
  11. 9
  12. 9n
  13. 75
  14. 30
  15. 8
  16. 86
  17. 15
  18. 28
  19. 15
  20. 92
  21. 32
  22. 15
  23. 54
  24. 35
  25. 3
  26. 80
  27. 49
  28. 17
  29. 19
  30. 24
  31. 12
  32. 3p
  33. 14
  34. 11
  35. 16
  36. 39
  37. p − 3
  38. k − 7
  39. 72
  40. 15

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