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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 7 · 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.Farhan has k pencils. A friend has 3 more. Which expression shows how many pencils the friend has? (a) k − 3 (b) k ÷ 3 (c) k + 3 (d) 3k
  2. 2.Find the value of 6a + 5b when a = 4 and b = 6.
  3. 3.Find the value of 2t − 2 when t = 11.
  4. 4.Find the value of 4a + 8b when a = 3 and b = 8.
  5. 5.Find the value of 4t + 14 when t = 8.
  6. 6.Zoya has n balls. A friend has 9 times as many. Which expression shows how many balls the friend has? (a) n − 9 (b) n + 9 (c) n ÷ 9 (d) 9n
  7. 7.Solve: y + 6 = 11. What is y?
  8. 8.Find the value of 9y − 31 when y = 8.
  9. 9.Find the value of 7x + 4 when x = 2.
  10. 10.Lakshmi has n books. A friend has 3 times as many. Which expression shows how many books the friend has? (a) 3n (b) n + 3 (c) n ÷ 3 (d) n − 3
  11. 11.Find the value of 2a + 4b when a = 4 and b = 9.
  12. 12.Find the value of 8m − 52 when m = 7.
  13. 13.Solve: x − 2 = 1. What is x?
  14. 14.Isha has p marbles. A friend has 6 times as many. Which expression shows how many marbles the friend has? (a) p − 6 (b) 6p (c) p ÷ 6 (d) p + 6
  15. 15.Solve: t − 8 = 1. What is t?
  16. 16.Find the value of 9n − 30 when n = 4.
  17. 17.Find the value of 5a + 4b when a = 7 and b = 9.
  18. 18.Find the value of 8x − 3 when x = 9.
  19. 19.Solve: n + 9 = 27. What is n?
  20. 20.Find the value of 4p + 18 when p = 4.
  21. 21.Find the value of 8n − 2 when n = 1.
  22. 22.Solve: p ÷ 3 = 18. What is p?
  23. 23.Find the value of 5x + 8 when x = 8.
  24. 24.Aarav has m balls. A friend has 6 fewer. Which expression shows how many balls the friend has? (a) m ÷ 6 (b) m − 6 (c) m + 6 (d) 6m
  25. 25.Find the value of 5a + 4b when a = 8 and b = 5.
  26. 26.Solve: y ÷ 5 = 5. What is y?
  27. 27.Find the value of 4a + 8b when a = 6 and b = 2.
  28. 28.Find the value of 8a + 3b when a = 4 and b = 10.
  29. 29.Kavya has p pencils. A friend has 5 times as many. Which expression shows how many pencils the friend has? (a) p ÷ 5 (b) 5p (c) p + 5 (d) p − 5
  30. 30.Find the value of 2x − 1 when x = 2.
  31. 31.Solve: y ÷ 11 = 7. What is y?
  32. 32.Find the value of 5x + 11 when x = 7.
  33. 33.Farhan shares k crayons equally among 2 friends. Which expression shows how many crayons each friend gets? (a) k + 2 (b) 2k (c) k − 2 (d) k ÷ 2
  34. 34.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  35. 35.Find the value of 7m − 9 when m = 10.
  36. 36.Solve: t − 7 = 3. What is t?
  37. 37.Find the value of 8n − 42 when n = 9.
  38. 38.Solve: x − 4 = 17. What is x?
  39. 39.Find the value of 4n + 10 when n = 4.
  40. 40.Solve: t − 11 = 12. What is t?

Answer key

  1. k + 3
  2. 54
  3. 20
  4. 76
  5. 46
  6. 9n
  7. 5
  8. 41
  9. 18
  10. 3n
  11. 44
  12. 4
  13. 3
  14. 6p
  15. 9
  16. 6
  17. 71
  18. 69
  19. 18
  20. 34
  21. 6
  22. 54
  23. 48
  24. m − 6
  25. 60
  26. 25
  27. 40
  28. 62
  29. 5p
  30. 3
  31. 77
  32. 46
  33. k ÷ 2
  34. 48
  35. 61
  36. 10
  37. 30
  38. 21
  39. 26
  40. 23

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