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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 411 · 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.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
  2. 2.Find the value of 5p + 1 when p = 8.
  3. 3.Gurpreet has n kites. A friend has 7 fewer. Which expression shows how many kites the friend has? (a) n + 7 (b) n ÷ 7 (c) n − 7 (d) 7n
  4. 4.Find the value of 2t − 1 when t = 1.
  5. 5.Solve: n ÷ 6 = 13. What is n?
  6. 6.Solve: m ÷ 9 = 19. What is m?
  7. 7.Find the value of 3n − 4 when n = 8.
  8. 8.Find the value of 4n + 18 when n = 6.
  9. 9.Find the value of 9n − 72 when n = 9.
  10. 10.Find the value of 6p − 9 when p = 3.
  11. 11.Solve: y + 2 = 21. What is y?
  12. 12.Find the value of 2a + 6b when a = 1 and b = 1.
  13. 13.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 21 letters?
  14. 14.Find the value of 7m + 16 when m = 5.
  15. 15.Find the value of 2a + 6b when a = 5 and b = 2.
  16. 16.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
  17. 17.Find the value of 3x + 15 when x = 1.
  18. 18.Find the value of 2t − 9 when t = 5.
  19. 19.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  20. 20.Find the value of 2a + 9b when a = 10 and b = 3.
  21. 21.Riya shares p shells equally among 5 friends. Which expression shows how many shells each friend gets? (a) p ÷ 5 (b) p − 5 (c) p + 5 (d) 5p
  22. 22.Solve: y + 6 = 13. What is y?
  23. 23.Find the value of 4m − 39 when m = 10.
  24. 24.Find the value of 6n + 5 when n = 1.
  25. 25.Solve: t − 2 = 19. What is t?
  26. 26.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
  27. 27.Solve: 10t = 40. What is t?
  28. 28.Vivaan shares p kites equally among 9 friends. Which expression shows how many kites each friend gets? (a) p + 9 (b) 9p (c) p − 9 (d) p ÷ 9
  29. 29.Find the value of 5n + 19 when n = 3.
  30. 30.Find the value of 7m − 18 when m = 7.
  31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  32. 32.Solve: p + 11 = 19. What is p?
  33. 33.Priya has n pencils. A friend has 6 times as many. Which expression shows how many pencils the friend has? (a) n + 6 (b) 6n (c) n − 6 (d) n ÷ 6
  34. 34.Solve: n + 10 = 20. What is n?
  35. 35.Joseph has p laddoos. A friend has 5 more. Which expression shows how many laddoos the friend has? (a) 5p (b) p ÷ 5 (c) p + 5 (d) p − 5
  36. 36.Find the value of 6y − 7 when y = 10.
  37. 37.Find the value of 3m − 19 when m = 11.
  38. 38.Find the value of 2a + 7b when a = 8 and b = 4.
  39. 39.Solve: 9y = 135. What is y?
  40. 40.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?

Answer key

  1. 24
  2. 41
  3. n − 7
  4. 1
  5. 78
  6. 171
  7. 20
  8. 42
  9. 9
  10. 9
  11. 19
  12. 8
  13. 84
  14. 51
  15. 22
  16. 24
  17. 18
  18. 1
  19. 87
  20. 47
  21. p ÷ 5
  22. 7
  23. 1
  24. 11
  25. 21
  26. 30
  27. 4
  28. p ÷ 9
  29. 34
  30. 31
  31. 52
  32. 8
  33. 6n
  34. 10
  35. p + 5
  36. 53
  37. 14
  38. 44
  39. 15
  40. 36

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