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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 93 · 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 9p + 12 when p = 1.
  2. 2.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  3. 3.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  4. 4.Find the value of 6m − 23 when m = 5.
  5. 5.Solve: 10p = 30. What is p?
  6. 6.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  7. 7.Vivaan shares p laddoos equally among 4 friends. Which expression shows how many laddoos each friend gets? (a) p + 4 (b) 4p (c) p − 4 (d) p ÷ 4
  8. 8.Find the value of 3t + 13 when t = 3.
  9. 9.Find the value of 2y + 3 when y = 7.
  10. 10.Find the value of 9x + 1 when x = 10.
  11. 11.Find the value of 6x − 36 when x = 9.
  12. 12.Find the value of 6p + 8 when p = 4.
  13. 13.Find the value of 5a + 2b when a = 3 and b = 6.
  14. 14.Solve: x − 4 = 16. What is x?
  15. 15.Solve: p ÷ 8 = 9. What is p?
  16. 16.Find the value of 6m − 5 when m = 5.
  17. 17.Kavya has p kites. A friend has 8 fewer. Which expression shows how many kites the friend has? (a) p + 8 (b) 8p (c) p − 8 (d) p ÷ 8
  18. 18.Solve: x + 8 = 15. What is x?
  19. 19.Solve: x ÷ 3 = 16. What is x?
  20. 20.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  21. 21.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
  22. 22.Solve: 4y = 80. What is y?
  23. 23.Find the value of 4a + 5b when a = 7 and b = 3.
  24. 24.Solve: 8n = 16. What is n?
  25. 25.Solve: x ÷ 9 = 10. What is x?
  26. 26.Solve: p − 4 = 20. What is p?
  27. 27.Find the value of 5a + 6b when a = 7 and b = 5.
  28. 28.Solve: n ÷ 2 = 3. What is n?
  29. 29.Solve: x − 9 = 10. What is x?
  30. 30.Sneha has m mangoes. A friend has 6 more. Which expression shows how many mangoes the friend has? (a) 6m (b) m ÷ 6 (c) m − 6 (d) m + 6
  31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  32. 32.Find the value of 9a + 4b when a = 10 and b = 2.
  33. 33.Find the value of 5p + 9 when p = 11.
  34. 34.Find the value of 9t + 5 when t = 6.
  35. 35.Kavya shares n marbles equally among 8 friends. Which expression shows how many marbles each friend gets? (a) n ÷ 8 (b) n − 8 (c) n + 8 (d) 8n
  36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  37. 37.Find the value of 3m + 17 when m = 8.
  38. 38.Find the value of 6x + 4 when x = 9.
  39. 39.Aditya has p marbles. A friend has 9 more. Which expression shows how many marbles the friend has? (a) 9p (b) p ÷ 9 (c) p − 9 (d) p + 9
  40. 40.Find the value of 7a + 3b when a = 6 and b = 2.

Answer key

  1. 21
  2. 75
  3. 21
  4. 7
  5. 3
  6. 18
  7. p ÷ 4
  8. 22
  9. 17
  10. 91
  11. 18
  12. 32
  13. 27
  14. 20
  15. 72
  16. 25
  17. p − 8
  18. 7
  19. 48
  20. 18
  21. 42
  22. 20
  23. 43
  24. 2
  25. 90
  26. 24
  27. 65
  28. 6
  29. 19
  30. m + 6
  31. 75
  32. 98
  33. 64
  34. 59
  35. n ÷ 8
  36. 57
  37. 41
  38. 58
  39. p + 9
  40. 48

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