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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 570 · 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 9m + 5 when m = 1.
  2. 2.Find the value of 2a + 3b when a = 6 and b = 4.
  3. 3.Solve: x + 9 = 11. What is x?
  4. 4.Find the value of 3a + 3b when a = 9 and b = 6.
  5. 5.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 18 letters?
  6. 6.Find the value of 7a + 4b when a = 10 and b = 10.
  7. 7.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  8. 8.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  9. 9.Find the value of 7a + 6b when a = 9 and b = 10.
  10. 10.Karan has p balloons. A friend has 6 fewer. Which expression shows how many balloons the friend has? (a) p + 6 (b) p − 6 (c) p ÷ 6 (d) 6p
  11. 11.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  12. 12.Find the value of 7a + 4b when a = 10 and b = 2.
  13. 13.Solve: n − 7 = 12. What is n?
  14. 14.Find the value of 8a + 6b when a = 10 and b = 8.
  15. 15.Find the value of 4a + 3b when a = 4 and b = 3.
  16. 16.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
  17. 17.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  18. 18.Solve: x − 5 = 11. What is x?
  19. 19.Tara has k flowers. A friend has 6 times as many. Which expression shows how many flowers the friend has? (a) k − 6 (b) k + 6 (c) 6k (d) k ÷ 6
  20. 20.Find the value of 4m + 18 when m = 5.
  21. 21.Find the value of 2n + 20 when n = 5.
  22. 22.Solve: y ÷ 11 = 4. What is y?
  23. 23.Find the value of 2a + 6b when a = 6 and b = 8.
  24. 24.Find the value of 4x + 11 when x = 11.
  25. 25.Find the value of 3x − 29 when x = 10.
  26. 26.Find the value of 3n − 2 when n = 2.
  27. 27.Find the value of 4a + 4b when a = 7 and b = 9.
  28. 28.Solve: 2p = 18. What is p?
  29. 29.Find the value of 3t − 2 when t = 8.
  30. 30.Solve: x − 2 = 7. What is x?
  31. 31.Find the value of 3a + 5b when a = 2 and b = 2.
  32. 32.Solve: 2y = 2. What is y?
  33. 33.Find the value of 4p + 3 when p = 10.
  34. 34.Riya shares p pencils equally among 4 friends. Which expression shows how many pencils each friend gets? (a) p − 4 (b) p + 4 (c) 4p (d) p ÷ 4
  35. 35.Diya has p books. A friend has 5 times as many. Which expression shows how many books the friend has? (a) 5p (b) p ÷ 5 (c) p − 5 (d) p + 5
  36. 36.Find the value of 8t − 29 when t = 6.
  37. 37.Solve: p + 4 = 7. What is p?
  38. 38.Find the value of 5x + 4 when x = 1.
  39. 39.Find the value of 4a + 7b when a = 5 and b = 2.
  40. 40.Solve: x − 8 = 10. What is x?

Answer key

  1. 14
  2. 24
  3. 2
  4. 45
  5. 72
  6. 110
  7. 18
  8. 39
  9. 123
  10. p − 6
  11. 50
  12. 78
  13. 19
  14. 128
  15. 25
  16. 54
  17. 78
  18. 16
  19. 6k
  20. 38
  21. 30
  22. 44
  23. 60
  24. 55
  25. 1
  26. 4
  27. 64
  28. 9
  29. 22
  30. 9
  31. 16
  32. 1
  33. 43
  34. p ÷ 4
  35. 5p
  36. 19
  37. 3
  38. 9
  39. 34
  40. 18

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