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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 519 · 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 4y + 10 when y = 8.
  2. 2.Find the value of 2m + 4 when m = 8.
  3. 3.Solve: n − 12 = 1. What is n?
  4. 4.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
  5. 5.Find the value of 7a + 9b when a = 1 and b = 3.
  6. 6.Find the value of 6a + 7b when a = 9 and b = 2.
  7. 7.Arjun has k balloons. A friend has 8 times as many. Which expression shows how many balloons the friend has? (a) k − 8 (b) k ÷ 8 (c) 8k (d) k + 8
  8. 8.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  9. 9.Solve: y ÷ 11 = 10. What is y?
  10. 10.Find the value of 5x + 19 when x = 4.
  11. 11.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  12. 12.Find the value of 3y − 1 when y = 2.
  13. 13.Solve: x + 11 = 14. What is x?
  14. 14.Find the value of 5a + 3b when a = 8 and b = 9.
  15. 15.Find the value of 4n + 7 when n = 10.
  16. 16.Find the value of 8a + 7b when a = 4 and b = 9.
  17. 17.Find the value of 3a + 5b when a = 5 and b = 8.
  18. 18.Kavya has p marbles. A friend has 5 fewer. Which expression shows how many marbles the friend has? (a) p − 5 (b) 5p (c) p ÷ 5 (d) p + 5
  19. 19.Solve: p − 8 = 14. What is p?
  20. 20.Dev shares k bananas equally among 2 friends. Which expression shows how many bananas each friend gets? (a) k + 2 (b) k − 2 (c) 2k (d) k ÷ 2
  21. 21.Find the value of 6p + 10 when p = 2.
  22. 22.Pooja shares n shells equally among 5 friends. Which expression shows how many shells each friend gets? (a) n − 5 (b) n ÷ 5 (c) n + 5 (d) 5n
  23. 23.Solve: n − 6 = 14. What is n?
  24. 24.Karan shares p laddoos equally among 9 friends. Which expression shows how many laddoos each friend gets? (a) p ÷ 9 (b) p + 9 (c) p − 9 (d) 9p
  25. 25.Find the value of 4m + 14 when m = 6.
  26. 26.Find the value of 4m − 7 when m = 7.
  27. 27.Solve: t − 4 = 4. What is t?
  28. 28.Find the value of 5p − 14 when p = 3.
  29. 29.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  30. 30.Priya shares n laddoos equally among 5 friends. Which expression shows how many laddoos each friend gets? (a) 5n (b) n + 5 (c) n ÷ 5 (d) n − 5
  31. 31.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  32. 32.Kabir has k shells. A friend has 6 fewer. Which expression shows how many shells the friend has? (a) 6k (b) k ÷ 6 (c) k + 6 (d) k − 6
  33. 33.Find the value of 7n + 1 when n = 5.
  34. 34.Solve: t − 7 = 3. What is t?
  35. 35.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  36. 36.Solve: 9m = 27. What is m?
  37. 37.Solve: 7m = 14. What is m?
  38. 38.Find the value of 3y + 16 when y = 6.
  39. 39.Solve: 2x = 2. What is x?
  40. 40.Solve: n ÷ 7 = 3. What is n?

Answer key

  1. 42
  2. 20
  3. 13
  4. 52
  5. 34
  6. 68
  7. 8k
  8. 63
  9. 110
  10. 39
  11. 22
  12. 5
  13. 3
  14. 67
  15. 47
  16. 95
  17. 55
  18. p − 5
  19. 22
  20. k ÷ 2
  21. 22
  22. n ÷ 5
  23. 20
  24. p ÷ 9
  25. 38
  26. 21
  27. 8
  28. 1
  29. 14
  30. n ÷ 5
  31. 66
  32. k − 6
  33. 36
  34. 10
  35. 32
  36. 3
  37. 2
  38. 34
  39. 1
  40. 21

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