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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 577 · 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 3a + 5b when a = 6 and b = 3.
  2. 2.Solve: p + 3 = 8. What is p?
  3. 3.Lakshmi has k balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) k ÷ 2 (b) k + 2 (c) 2k (d) k − 2
  4. 4.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
  5. 5.Find the value of 5m + 7 when m = 6.
  6. 6.Rahul has k bananas. A friend has 3 times as many. Which expression shows how many bananas the friend has? (a) 3k (b) k + 3 (c) k ÷ 3 (d) k − 3
  7. 7.Find the value of 3t − 2 when t = 2.
  8. 8.Find the value of 2y − 4 when y = 4.
  9. 9.Find the value of 9m + 17 when m = 1.
  10. 10.Solve: y + 4 = 13. What is y?
  11. 11.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  12. 12.Find the value of 8t − 28 when t = 5.
  13. 13.Riya has n balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) n − 2 (b) 2n (c) n ÷ 2 (d) n + 2
  14. 14.Solve: x + 3 = 7. What is x?
  15. 15.Solve: p + 6 = 14. What is p?
  16. 16.Find the value of 2a + 9b when a = 1 and b = 7.
  17. 17.Find the value of 9p − 17 when p = 3.
  18. 18.Find the value of 3a + 7b when a = 6 and b = 6.
  19. 19.Find the value of 2a + 9b when a = 8 and b = 3.
  20. 20.Find the value of 3a + 8b when a = 3 and b = 8.
  21. 21.Find the value of 6m − 2 when m = 2.
  22. 22.Find the value of 5t + 19 when t = 3.
  23. 23.Find the value of 8x + 4 when x = 5.
  24. 24.Find the value of 3p − 4 when p = 3.
  25. 25.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  26. 26.Manav has k bananas. A friend has 3 more. Which expression shows how many bananas the friend has? (a) 3k (b) k − 3 (c) k ÷ 3 (d) k + 3
  27. 27.Find the value of 6m + 5 when m = 3.
  28. 28.Find the value of 9a + 3b when a = 5 and b = 6.
  29. 29.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  30. 30.Find the value of 3p − 3 when p = 2.
  31. 31.Find the value of 2a + 3b when a = 6 and b = 7.
  32. 32.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  33. 33.Solve: y ÷ 8 = 7. What is y?
  34. 34.Solve: x − 9 = 1. What is x?
  35. 35.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
  36. 36.Find the value of 9a + 8b when a = 2 and b = 4.
  37. 37.Find the value of 7a + 8b when a = 9 and b = 4.
  38. 38.Solve: p − 12 = 12. What is p?
  39. 39.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
  40. 40.Find the value of 4p − 25 when p = 7.

Answer key

  1. 33
  2. 5
  3. k + 2
  4. 54
  5. 37
  6. 3k
  7. 4
  8. 4
  9. 26
  10. 9
  11. 16
  12. 12
  13. n + 2
  14. 4
  15. 8
  16. 65
  17. 10
  18. 60
  19. 43
  20. 73
  21. 10
  22. 34
  23. 44
  24. 5
  25. 12
  26. k + 3
  27. 23
  28. 63
  29. 18
  30. 3
  31. 33
  32. 57
  33. 56
  34. 10
  35. 36
  36. 50
  37. 95
  38. 24
  39. 20
  40. 3

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