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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 530 · 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 T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  2. 2.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  3. 3.Find the value of 9y + 16 when y = 10.
  4. 4.Solve: t ÷ 10 = 16. What is t?
  5. 5.Tara has n laddoos. A friend has 5 times as many. Which expression shows how many laddoos the friend has? (a) n + 5 (b) 5n (c) n − 5 (d) n ÷ 5
  6. 6.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  7. 7.Ishaan has p flowers. A friend has 2 more. Which expression shows how many flowers the friend has? (a) 2p (b) p − 2 (c) p ÷ 2 (d) p + 2
  8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  9. 9.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  10. 10.Find the value of 3a + 5b when a = 1 and b = 8.
  11. 11.Find the value of 7p − 12 when p = 2.
  12. 12.Find the value of 9y + 7 when y = 5.
  13. 13.Find the value of 3y + 9 when y = 2.
  14. 14.Solve: p + 3 = 13. What is p?
  15. 15.Find the value of 2a + 4b when a = 3 and b = 1.
  16. 16.Solve: y − 11 = 10. What is y?
  17. 17.Find the value of 6x − 40 when x = 9.
  18. 18.Find the value of 6a + 4b when a = 2 and b = 4.
  19. 19.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  20. 20.Solve: 3x = 36. What is x?
  21. 21.Solve: t + 2 = 10. What is t?
  22. 22.Find the value of 3a + 5b when a = 8 and b = 5.
  23. 23.Solve: m + 10 = 23. What is m?
  24. 24.Find the value of 2a + 3b when a = 6 and b = 5.
  25. 25.Solve: y ÷ 6 = 20. What is y?
  26. 26.Solve: x − 6 = 10. What is x?
  27. 27.Find the value of 6a + 5b when a = 7 and b = 10.
  28. 28.Find the value of 2m + 14 when m = 2.
  29. 29.Find the value of 2a + 9b when a = 6 and b = 9.
  30. 30.Karan has m kites. A friend has 6 more. Which expression shows how many kites the friend has? (a) 6m (b) m ÷ 6 (c) m − 6 (d) m + 6
  31. 31.Find the value of 7a + 8b when a = 5 and b = 6.
  32. 32.Solve: x + 5 = 6. What is x?
  33. 33.Find the value of 5x − 39 when x = 11.
  34. 34.Find the value of 9a + 2b when a = 5 and b = 10.
  35. 35.Find the value of 4y + 7 when y = 11.
  36. 36.Find the value of 6t − 55 when t = 10.
  37. 37.Find the value of 8y + 11 when y = 10.
  38. 38.Priya has k crayons. A friend has 6 more. Which expression shows how many crayons the friend has? (a) k − 6 (b) k + 6 (c) k ÷ 6 (d) 6k
  39. 39.Solve: 5p = 35. What is p?
  40. 40.Find the value of 5a + 5b when a = 3 and b = 5.

Answer key

  1. 16
  2. 66
  3. 106
  4. 160
  5. 5n
  6. 33
  7. p + 2
  8. 18
  9. 24
  10. 43
  11. 2
  12. 52
  13. 15
  14. 10
  15. 10
  16. 21
  17. 14
  18. 28
  19. 22
  20. 12
  21. 8
  22. 49
  23. 13
  24. 27
  25. 120
  26. 16
  27. 92
  28. 18
  29. 93
  30. m + 6
  31. 83
  32. 1
  33. 16
  34. 65
  35. 51
  36. 5
  37. 91
  38. k + 6
  39. 7
  40. 40

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