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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 590 · 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 7a + 2b when a = 5 and b = 3.
  2. 2.Find the value of 7n − 17 when n = 12.
  3. 3.Diya has k bananas. A friend has 8 fewer. Which expression shows how many bananas the friend has? (a) 8k (b) k − 8 (c) k ÷ 8 (d) k + 8
  4. 4.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  5. 5.Solve: y ÷ 3 = 12. What is y?
  6. 6.Find the value of 3x + 3 when x = 8.
  7. 7.Find the value of 4x + 16 when x = 6.
  8. 8.Find the value of 9a + 6b when a = 7 and b = 6.
  9. 9.Find the value of 7n + 13 when n = 6.
  10. 10.Find the value of 4a + 5b when a = 3 and b = 2.
  11. 11.Find the value of 9a + 6b when a = 8 and b = 5.
  12. 12.Find the value of 7t + 3 when t = 8.
  13. 13.Solve: y − 5 = 11. What is y?
  14. 14.Solve: 5n = 35. What is n?
  15. 15.Aarav has p kites. A friend has 9 times as many. Which expression shows how many kites the friend has? (a) 9p (b) p ÷ 9 (c) p − 9 (d) p + 9
  16. 16.Meera has n laddoos. A friend has 5 fewer. Which expression shows how many laddoos the friend has? (a) n + 5 (b) 5n (c) n − 5 (d) n ÷ 5
  17. 17.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  18. 18.Find the value of 8a + 9b when a = 2 and b = 1.
  19. 19.Manav shares n marbles equally among 8 friends. Which expression shows how many marbles each friend gets? (a) n + 8 (b) 8n (c) n − 8 (d) n ÷ 8
  20. 20.Solve: 6x = 72. What is x?
  21. 21.Solve: 4p = 68. What is p?
  22. 22.Find the value of 2a + 4b when a = 9 and b = 5.
  23. 23.Aarav has p marbles. A friend has 7 times as many. Which expression shows how many marbles the friend has? (a) p + 7 (b) 7p (c) p − 7 (d) p ÷ 7
  24. 24.Solve: 11n = 154. What is n?
  25. 25.Solve: y − 4 = 12. What is y?
  26. 26.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
  27. 27.Find the value of 5a + 6b when a = 2 and b = 8.
  28. 28.Find the value of 4a + 5b when a = 2 and b = 9.
  29. 29.Solve: n + 3 = 9. What is n?
  30. 30.Solve: x ÷ 3 = 5. What is x?
  31. 31.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
  32. 32.Pooja has p flowers. A friend has 7 more. Which expression shows how many flowers the friend has? (a) p + 7 (b) p ÷ 7 (c) p − 7 (d) 7p
  33. 33.Solve: y ÷ 9 = 18. What is y?
  34. 34.Find the value of 7a + 9b when a = 3 and b = 5.
  35. 35.Find the value of 7a + 8b when a = 9 and b = 6.
  36. 36.Isha has m marbles. A friend has 6 fewer. Which expression shows how many marbles the friend has? (a) m ÷ 6 (b) m + 6 (c) 6m (d) m − 6
  37. 37.Solve: x + 3 = 20. What is x?
  38. 38.Find the value of 5a + 3b when a = 5 and b = 5.
  39. 39.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  40. 40.Solve: p − 9 = 7. What is p?

Answer key

  1. 41
  2. 67
  3. k − 8
  4. 54
  5. 36
  6. 27
  7. 40
  8. 99
  9. 55
  10. 22
  11. 102
  12. 59
  13. 16
  14. 7
  15. 9p
  16. n − 5
  17. 57
  18. 25
  19. n ÷ 8
  20. 12
  21. 17
  22. 38
  23. 7p
  24. 14
  25. 16
  26. 54
  27. 58
  28. 53
  29. 6
  30. 15
  31. 54
  32. p + 7
  33. 162
  34. 66
  35. 111
  36. m − 6
  37. 17
  38. 40
  39. 48
  40. 16

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