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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 393 · 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 3t + 17 when t = 2.
  2. 2.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
  3. 3.Find the value of 4y + 19 when y = 2.
  4. 4.Solve: 5y = 85. What is y?
  5. 5.Solve: 3p = 33. What is p?
  6. 6.Solve: x + 8 = 15. What is x?
  7. 7.Find the value of 9a + 9b when a = 7 and b = 1.
  8. 8.Find the value of 7a + 9b when a = 9 and b = 3.
  9. 9.Find the value of 6x − 34 when x = 8.
  10. 10.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
  11. 11.Find the value of 9a + 2b when a = 2 and b = 1.
  12. 12.Solve: t + 4 = 5. What is t?
  13. 13.Solve: 10p = 140. What is p?
  14. 14.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  15. 15.Find the value of 6a + 8b when a = 7 and b = 7.
  16. 16.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
  17. 17.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
  18. 18.Find the value of 4x + 6 when x = 10.
  19. 19.Vivaan has n laddoos. A friend has 6 fewer. Which expression shows how many laddoos the friend has? (a) n ÷ 6 (b) n + 6 (c) n − 6 (d) 6n
  20. 20.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
  21. 21.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  22. 22.Find the value of 3m − 12 when m = 5.
  23. 23.Find the value of 8a + 6b when a = 1 and b = 8.
  24. 24.Solve: n − 2 = 5. What is n?
  25. 25.Solve: y + 8 = 26. What is y?
  26. 26.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  27. 27.Gurpreet has k crayons. A friend has 2 more. Which expression shows how many crayons the friend has? (a) k + 2 (b) 2k (c) k ÷ 2 (d) k − 2
  28. 28.Find the value of 3y + 17 when y = 1.
  29. 29.Solve: p + 12 = 31. What is p?
  30. 30.Find the value of 4a + 3b when a = 5 and b = 3.
  31. 31.Find the value of 5p − 19 when p = 4.
  32. 32.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  33. 33.Find the value of 3a + 6b when a = 10 and b = 8.
  34. 34.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  35. 35.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  36. 36.Solve: t ÷ 12 = 2. What is t?
  37. 37.Find the value of 6p + 11 when p = 9.
  38. 38.Find the value of 7a + 4b when a = 10 and b = 4.
  39. 39.Rahul has m balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) m + 6 (b) m − 6 (c) m ÷ 6 (d) 6m
  40. 40.Find the value of 8y + 2 when y = 6.

Answer key

  1. 23
  2. 26
  3. 27
  4. 17
  5. 11
  6. 7
  7. 72
  8. 90
  9. 14
  10. 84
  11. 20
  12. 1
  13. 14
  14. 56
  15. 98
  16. 20
  17. 54
  18. 46
  19. n − 6
  20. 84
  21. 21
  22. 3
  23. 56
  24. 7
  25. 18
  26. 12
  27. k + 2
  28. 20
  29. 19
  30. 29
  31. 1
  32. 16
  33. 78
  34. 33
  35. 75
  36. 24
  37. 65
  38. 86
  39. m + 6
  40. 50

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