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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 144 · 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 8a + 8b when a = 1 and b = 2.
  2. 2.Solve: y + 10 = 30. What is y?
  3. 3.Find the value of 4a + 2b when a = 2 and b = 3.
  4. 4.Solve: x + 4 = 7. What is x?
  5. 5.Joseph shares k laddoos equally among 5 friends. Which expression shows how many laddoos each friend gets? (a) k ÷ 5 (b) 5k (c) k − 5 (d) k + 5
  6. 6.Find the value of 6a + 5b when a = 5 and b = 2.
  7. 7.Solve: 9y = 108. What is y?
  8. 8.Find the value of 7a + 3b when a = 1 and b = 4.
  9. 9.Find the value of 5x + 17 when x = 3.
  10. 10.Solve: y + 4 = 19. What is y?
  11. 11.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  12. 12.Find the value of 6n − 7 when n = 7.
  13. 13.Solve: p ÷ 9 = 17. What is p?
  14. 14.Sneha shares n shells equally among 2 friends. Which expression shows how many shells each friend gets? (a) n − 2 (b) n ÷ 2 (c) 2n (d) n + 2
  15. 15.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
  16. 16.Find the value of 5a + 2b when a = 5 and b = 6.
  17. 17.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  18. 18.Solve: 3p = 3. What is p?
  19. 19.Solve: x ÷ 8 = 16. What is x?
  20. 20.Find the value of 6x − 1 when x = 1.
  21. 21.Find the value of 3n − 9 when n = 9.
  22. 22.Solve: x ÷ 5 = 5. What is x?
  23. 23.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  24. 24.Find the value of 3x − 3 when x = 2.
  25. 25.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  26. 26.Solve: t ÷ 5 = 11. What is t?
  27. 27.Find the value of 5a + 3b when a = 4 and b = 7.
  28. 28.Solve: y − 2 = 17. What is y?
  29. 29.Find the value of 5m + 15 when m = 7.
  30. 30.Find the value of 8a + 8b when a = 9 and b = 4.
  31. 31.Solve: 12n = 192. What is n?
  32. 32.Find the value of 7m + 11 when m = 6.
  33. 33.Find the value of 2y + 11 when y = 6.
  34. 34.Solve: 6m = 72. What is m?
  35. 35.Isha has p kites. A friend has 6 fewer. Which expression shows how many kites the friend has? (a) p + 6 (b) p ÷ 6 (c) p − 6 (d) 6p
  36. 36.Farhan has p kites. A friend has 5 more. Which expression shows how many kites the friend has? (a) p + 5 (b) p ÷ 5 (c) p − 5 (d) 5p
  37. 37.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  38. 38.Riya shares m bananas equally among 3 friends. Which expression shows how many bananas each friend gets? (a) 3m (b) m + 3 (c) m − 3 (d) m ÷ 3
  39. 39.Find the value of 8p − 3 when p = 4.
  40. 40.Find the value of 2a + 9b when a = 3 and b = 10.

Answer key

  1. 24
  2. 20
  3. 14
  4. 3
  5. k ÷ 5
  6. 40
  7. 12
  8. 19
  9. 32
  10. 15
  11. 30
  12. 35
  13. 153
  14. n ÷ 2
  15. 30
  16. 37
  17. 15
  18. 1
  19. 128
  20. 5
  21. 18
  22. 25
  23. 45
  24. 3
  25. 69
  26. 55
  27. 41
  28. 19
  29. 50
  30. 104
  31. 16
  32. 53
  33. 23
  34. 12
  35. p − 6
  36. p + 5
  37. 34
  38. m ÷ 3
  39. 29
  40. 96

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