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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 249 · 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 9t + 8 when t = 11.
  2. 2.Find the value of 2a + 3b when a = 5 and b = 9.
  3. 3.Find the value of 3y + 11 when y = 2.
  4. 4.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  5. 5.Find the value of 4a + 8b when a = 7 and b = 1.
  6. 6.Solve: p + 4 = 21. What is p?
  7. 7.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  8. 8.Find the value of 3a + 9b when a = 10 and b = 10.
  9. 9.Find the value of 7n + 16 when n = 1.
  10. 10.Find the value of 9a + 6b when a = 2 and b = 7.
  11. 11.Solve: x − 3 = 18. What is x?
  12. 12.Saanvi has n balls. A friend has 2 fewer. Which expression shows how many balls the friend has? (a) n + 2 (b) 2n (c) n ÷ 2 (d) n − 2
  13. 13.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  14. 14.Find the value of 2a + 5b when a = 7 and b = 8.
  15. 15.Joseph shares n crayons equally among 2 friends. Which expression shows how many crayons each friend gets? (a) 2n (b) n + 2 (c) n − 2 (d) n ÷ 2
  16. 16.Solve: 7m = 112. What is m?
  17. 17.Find the value of 6x + 18 when x = 10.
  18. 18.Solve: x − 4 = 13. What is x?
  19. 19.Find the value of 4p − 12 when p = 4.
  20. 20.Find the value of 6a + 7b when a = 9 and b = 2.
  21. 21.Solve: x + 2 = 4. What is x?
  22. 22.Aarav has p shells. A friend has 5 fewer. Which expression shows how many shells the friend has? (a) p ÷ 5 (b) p + 5 (c) p − 5 (d) 5p
  23. 23.Find the value of 8m − 94 when m = 12.
  24. 24.Find the value of 5t + 18 when t = 12.
  25. 25.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  26. 26.Farhan has k laddoos. A friend has 6 fewer. Which expression shows how many laddoos the friend has? (a) 6k (b) k + 6 (c) k ÷ 6 (d) k − 6
  27. 27.Find the value of 6m − 5 when m = 1.
  28. 28.Find the value of 9a + 9b when a = 9 and b = 10.
  29. 29.Find the value of 5a + 3b when a = 3 and b = 6.
  30. 30.Find the value of 2a + 6b when a = 7 and b = 3.
  31. 31.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
  32. 32.Rahul has k books. A friend has 6 more. Which expression shows how many books the friend has? (a) k + 6 (b) k ÷ 6 (c) 6k (d) k − 6
  33. 33.Vivaan has p balls. A friend has 3 times as many. Which expression shows how many balls the friend has? (a) p + 3 (b) 3p (c) p − 3 (d) p ÷ 3
  34. 34.Find the value of 9a + 7b when a = 10 and b = 8.
  35. 35.Find the value of 8a + 5b when a = 1 and b = 10.
  36. 36.Solve: t + 8 = 14. What is t?
  37. 37.Find the value of 2n + 6 when n = 11.
  38. 38.Find the value of 9t + 13 when t = 1.
  39. 39.Solve: t − 5 = 6. What is t?
  40. 40.Find the value of 8x − 33 when x = 12.

Answer key

  1. 107
  2. 37
  3. 17
  4. 78
  5. 36
  6. 17
  7. 12
  8. 120
  9. 23
  10. 60
  11. 21
  12. n − 2
  13. 33
  14. 54
  15. n ÷ 2
  16. 16
  17. 78
  18. 17
  19. 4
  20. 68
  21. 2
  22. p − 5
  23. 2
  24. 78
  25. 18
  26. k − 6
  27. 1
  28. 171
  29. 33
  30. 32
  31. 54
  32. k + 6
  33. 3p
  34. 146
  35. 58
  36. 6
  37. 28
  38. 22
  39. 11
  40. 63

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