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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 594 · 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.Isha has p flowers. A friend has 7 more. Which expression shows how many flowers the friend has? (a) p − 7 (b) 7p (c) p + 7 (d) p ÷ 7
  2. 2.Solve: y + 8 = 13. What is y?
  3. 3.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  4. 4.Solve: y + 11 = 14. What is y?
  5. 5.Find the value of 4x − 1 when x = 1.
  6. 6.Find the value of 9a + 8b when a = 4 and b = 3.
  7. 7.Solve: x − 10 = 9. What is x?
  8. 8.Isha has m laddoos. A friend has 2 fewer. Which expression shows how many laddoos the friend has? (a) m − 2 (b) m + 2 (c) m ÷ 2 (d) 2m
  9. 9.Find the value of 5a + 2b when a = 5 and b = 10.
  10. 10.Solve: t ÷ 4 = 9. What is t?
  11. 11.Find the value of 4p − 26 when p = 7.
  12. 12.Solve: n − 3 = 15. What is n?
  13. 13.Solve: y + 10 = 27. What is y?
  14. 14.Find the value of 7a + 6b when a = 7 and b = 2.
  15. 15.Find the value of 8a + 6b when a = 7 and b = 9.
  16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  17. 17.Find the value of 9m + 4 when m = 11.
  18. 18.Solve: p ÷ 8 = 16. What is p?
  19. 19.Solve: 12y = 132. What is y?
  20. 20.Karan shares p laddoos equally among 5 friends. Which expression shows how many laddoos each friend gets? (a) p + 5 (b) p − 5 (c) 5p (d) p ÷ 5
  21. 21.Find the value of 5a + 7b when a = 9 and b = 6.
  22. 22.Find the value of 4a + 9b when a = 6 and b = 4.
  23. 23.Find the value of 3p + 19 when p = 9.
  24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
  25. 25.Find the value of 7a + 8b when a = 7 and b = 1.
  26. 26.Solve: m − 12 = 7. What is m?
  27. 27.Solve: t ÷ 5 = 18. What is t?
  28. 28.Gurpreet shares k balloons equally among 7 friends. Which expression shows how many balloons each friend gets? (a) 7k (b) k ÷ 7 (c) k + 7 (d) k − 7
  29. 29.Solve: p − 10 = 6. What is p?
  30. 30.Find the value of 7a + 2b when a = 1 and b = 9.
  31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  32. 32.Joseph has m balls. A friend has 5 times as many. Which expression shows how many balls the friend has? (a) m ÷ 5 (b) m − 5 (c) 5m (d) m + 5
  33. 33.Sneha has k kites. A friend has 9 times as many. Which expression shows how many kites the friend has? (a) k − 9 (b) k ÷ 9 (c) k + 9 (d) 9k
  34. 34.Find the value of 4x − 16 when x = 8.
  35. 35.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 14 letters?
  36. 36.Solve: x + 2 = 3. What is x?
  37. 37.Solve: 4p = 60. What is p?
  38. 38.Find the value of 8a + 2b when a = 8 and b = 4.
  39. 39.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
  40. 40.Find the value of 2a + 2b when a = 9 and b = 5.

Answer key

  1. p + 7
  2. 5
  3. 69
  4. 3
  5. 3
  6. 60
  7. 19
  8. m − 2
  9. 45
  10. 36
  11. 2
  12. 18
  13. 17
  14. 61
  15. 110
  16. 52
  17. 103
  18. 128
  19. 11
  20. p ÷ 5
  21. 87
  22. 60
  23. 46
  24. 48
  25. 57
  26. 19
  27. 90
  28. k ÷ 7
  29. 16
  30. 25
  31. 34
  32. 5m
  33. 9k
  34. 16
  35. 56
  36. 1
  37. 15
  38. 72
  39. 52
  40. 28

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