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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 2 · 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.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
  2. 2.Find the value of 4x + 15 when x = 8.
  3. 3.Find the value of 3a + 6b when a = 4 and b = 3.
  4. 4.Find the value of 2m − 5 when m = 3.
  5. 5.Manav has k shells. A friend has 7 times as many. Which expression shows how many shells the friend has? (a) k ÷ 7 (b) k + 7 (c) 7k (d) k − 7
  6. 6.Solve: m ÷ 3 = 2. What is m?
  7. 7.Find the value of 4a + 9b when a = 1 and b = 5.
  8. 8.Find the value of 3x + 6 when x = 6.
  9. 9.Solve: t − 8 = 3. What is t?
  10. 10.Find the value of 6a + 6b when a = 2 and b = 1.
  11. 11.Find the value of 8a + 7b when a = 2 and b = 7.
  12. 12.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  13. 13.Find the value of 8m − 60 when m = 8.
  14. 14.Find the value of 8a + 9b when a = 4 and b = 8.
  15. 15.Farhan has m kites. A friend has 6 more. Which expression shows how many kites the friend has? (a) m ÷ 6 (b) m + 6 (c) 6m (d) m − 6
  16. 16.Solve: p + 3 = 22. What is p?
  17. 17.Find the value of 5y + 18 when y = 1.
  18. 18.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  19. 19.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  20. 20.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
  21. 21.Find the value of 8a + 9b when a = 5 and b = 2.
  22. 22.Find the value of 9m + 11 when m = 12.
  23. 23.Find the value of 2a + 5b when a = 4 and b = 9.
  24. 24.Solve: m ÷ 7 = 17. What is m?
  25. 25.Aditya has n pencils. A friend has 7 fewer. Which expression shows how many pencils the friend has? (a) 7n (b) n ÷ 7 (c) n + 7 (d) n − 7
  26. 26.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  27. 27.Find the value of 7t + 12 when t = 4.
  28. 28.Find the value of 9p + 6 when p = 4.
  29. 29.Find the value of 3a + 9b when a = 8 and b = 6.
  30. 30.Find the value of 5a + 7b when a = 5 and b = 9.
  31. 31.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  32. 32.Isha has k mangoes. A friend has 5 fewer. Which expression shows how many mangoes the friend has? (a) 5k (b) k − 5 (c) k ÷ 5 (d) k + 5
  33. 33.Find the value of 4a + 8b when a = 3 and b = 8.
  34. 34.Solve: y − 3 = 14. What is y?
  35. 35.Find the value of 3a + 2b when a = 9 and b = 6.
  36. 36.Solve: x ÷ 3 = 14. What is x?
  37. 37.Solve: 12m = 204. What is m?
  38. 38.Find the value of 5x − 4 when x = 1.
  39. 39.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  40. 40.Solve: m + 12 = 16. What is m?

Answer key

  1. 42
  2. 47
  3. 30
  4. 1
  5. 7k
  6. 6
  7. 49
  8. 24
  9. 11
  10. 18
  11. 65
  12. 45
  13. 4
  14. 104
  15. m + 6
  16. 19
  17. 23
  18. 33
  19. 16
  20. 120
  21. 58
  22. 119
  23. 53
  24. 119
  25. n − 7
  26. 56
  27. 40
  28. 42
  29. 78
  30. 88
  31. 34
  32. k − 5
  33. 76
  34. 17
  35. 39
  36. 42
  37. 17
  38. 1
  39. 27
  40. 4

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