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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 185 · 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.Solve: m ÷ 4 = 4. What is m?
  2. 2.Find the value of 7y + 9 when y = 9.
  3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  4. 4.Find the value of 3a + 4b when a = 3 and b = 4.
  5. 5.Find the value of 2t + 14 when t = 4.
  6. 6.Solve: 12y = 36. What is y?
  7. 7.Find the value of 9a + 2b when a = 1 and b = 8.
  8. 8.Find the value of 3t + 3 when t = 12.
  9. 9.Find the value of 3a + 4b when a = 4 and b = 3.
  10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  11. 11.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  12. 12.Ishaan has k laddoos. A friend has 3 more. Which expression shows how many laddoos the friend has? (a) k ÷ 3 (b) 3k (c) k − 3 (d) k + 3
  13. 13.Find the value of 5m − 53 when m = 12.
  14. 14.Solve: y ÷ 5 = 5. What is y?
  15. 15.Find the value of 8m + 6 when m = 8.
  16. 16.Find the value of 7m + 16 when m = 2.
  17. 17.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  18. 18.Solve: m − 8 = 11. What is m?
  19. 19.Find the value of 9a + 6b when a = 2 and b = 3.
  20. 20.Find the value of 6n + 16 when n = 1.
  21. 21.Solve: y − 2 = 1. What is y?
  22. 22.Find the value of 5n + 19 when n = 9.
  23. 23.Find the value of 2n + 16 when n = 2.
  24. 24.Solve: n + 5 = 14. What is n?
  25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  26. 26.Solve: n + 7 = 14. What is n?
  27. 27.Solve: t + 3 = 22. What is t?
  28. 28.Gurpreet has p bananas. A friend has 4 times as many. Which expression shows how many bananas the friend has? (a) 4p (b) p ÷ 4 (c) p − 4 (d) p + 4
  29. 29.Find the value of 5n + 12 when n = 7.
  30. 30.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
  31. 31.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  32. 32.Ishaan has n books. A friend has 7 times as many. Which expression shows how many books the friend has? (a) 7n (b) n + 7 (c) n − 7 (d) n ÷ 7
  33. 33.Find the value of 3t + 12 when t = 11.
  34. 34.Find the value of 2a + 2b when a = 6 and b = 4.
  35. 35.Find the value of 7m − 6 when m = 5.
  36. 36.Find the value of 4p − 7 when p = 11.
  37. 37.Find the value of 2a + 2b when a = 6 and b = 5.
  38. 38.Solve: 12x = 156. What is x?
  39. 39.Find the value of 4m + 4 when m = 1.
  40. 40.Find the value of 6x + 15 when x = 8.

Answer key

  1. 16
  2. 72
  3. 18
  4. 25
  5. 22
  6. 3
  7. 25
  8. 39
  9. 24
  10. 50
  11. 69
  12. k + 3
  13. 7
  14. 25
  15. 70
  16. 30
  17. 78
  18. 19
  19. 36
  20. 22
  21. 3
  22. 64
  23. 20
  24. 9
  25. 22
  26. 7
  27. 19
  28. 4p
  29. 47
  30. 20
  31. 34
  32. 7n
  33. 45
  34. 20
  35. 29
  36. 37
  37. 22
  38. 13
  39. 8
  40. 63

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