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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 201 · 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 2p − 5 when p = 4.
  2. 2.Find the value of 8a + 7b when a = 4 and b = 4.
  3. 3.Find the value of 4x + 13 when x = 11.
  4. 4.Solve: n ÷ 4 = 15. What is n?
  5. 5.Find the value of 2a + 7b when a = 7 and b = 5.
  6. 6.Solve: x ÷ 6 = 4. What is x?
  7. 7.Find the value of 8t + 14 when t = 9.
  8. 8.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  9. 9.Solve: x − 3 = 9. What is x?
  10. 10.Find the value of 6a + 8b when a = 2 and b = 1.
  11. 11.Solve: 5x = 10. What is x?
  12. 12.Solve: x ÷ 4 = 12. What is x?
  13. 13.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  14. 14.Find the value of 3y + 2 when y = 4.
  15. 15.Solve: x + 7 = 9. What is x?
  16. 16.Diya has k mangoes. A friend has 9 more. Which expression shows how many mangoes the friend has? (a) k ÷ 9 (b) k − 9 (c) k + 9 (d) 9k
  17. 17.Find the value of 6a + 8b when a = 4 and b = 2.
  18. 18.Find the value of 6a + 7b when a = 6 and b = 2.
  19. 19.Solve: m + 2 = 11. What is m?
  20. 20.Find the value of 3n − 5 when n = 2.
  21. 21.Find the value of 6a + 8b when a = 10 and b = 5.
  22. 22.Find the value of 2x + 11 when x = 10.
  23. 23.Find the value of 6a + 6b when a = 5 and b = 5.
  24. 24.Find the value of 2a + 3b when a = 4 and b = 4.
  25. 25.Find the value of 7n − 5 when n = 2.
  26. 26.Find the value of 3a + 2b when a = 9 and b = 5.
  27. 27.Solve: p + 7 = 11. What is p?
  28. 28.Find the value of 9n − 43 when n = 8.
  29. 29.Find the value of 9a + 8b when a = 1 and b = 5.
  30. 30.Kabir has p kites. A friend has 5 fewer. Which expression shows how many kites the friend has? (a) 5p (b) p + 5 (c) p − 5 (d) p ÷ 5
  31. 31.Isha shares m pencils equally among 8 friends. Which expression shows how many pencils each friend gets? (a) m + 8 (b) 8m (c) m − 8 (d) m ÷ 8
  32. 32.Solve: t − 3 = 20. What is t?
  33. 33.Find the value of 9n + 3 when n = 2.
  34. 34.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  35. 35.Find the value of 4a + 6b when a = 6 and b = 5.
  36. 36.Find the value of 8a + 3b when a = 7 and b = 2.
  37. 37.Zoya shares p books equally among 4 friends. Which expression shows how many books each friend gets? (a) p ÷ 4 (b) 4p (c) p − 4 (d) p + 4
  38. 38.Solve: n + 8 = 12. What is n?
  39. 39.Find the value of 7a + 2b when a = 9 and b = 7.
  40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?

Answer key

  1. 3
  2. 60
  3. 57
  4. 60
  5. 49
  6. 24
  7. 86
  8. 36
  9. 12
  10. 20
  11. 2
  12. 48
  13. 18
  14. 14
  15. 2
  16. k + 9
  17. 40
  18. 50
  19. 9
  20. 1
  21. 100
  22. 31
  23. 60
  24. 20
  25. 9
  26. 37
  27. 4
  28. 29
  29. 49
  30. p − 5
  31. m ÷ 8
  32. 23
  33. 21
  34. 27
  35. 54
  36. 62
  37. p ÷ 4
  38. 4
  39. 77
  40. 16

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