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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 376 · 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 5n + 6 when n = 2.
  2. 2.Arjun has n pencils. A friend has 7 more. Which expression shows how many pencils the friend has? (a) n − 7 (b) 7n (c) n ÷ 7 (d) n + 7
  3. 3.Find the value of 8n − 23 when n = 8.
  4. 4.Manav shares p bananas equally among 4 friends. Which expression shows how many bananas each friend gets? (a) p − 4 (b) p + 4 (c) 4p (d) p ÷ 4
  5. 5.Find the value of 2x + 16 when x = 6.
  6. 6.Solve: m ÷ 10 = 14. What is m?
  7. 7.Find the value of 6y + 3 when y = 3.
  8. 8.Find the value of 5a + 9b when a = 1 and b = 1.
  9. 9.Solve: m ÷ 3 = 5. What is m?
  10. 10.Solve: t − 11 = 2. What is t?
  11. 11.Solve: m + 2 = 8. What is m?
  12. 12.Find the value of 4x + 7 when x = 8.
  13. 13.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  14. 14.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  15. 15.Find the value of 9a + 2b when a = 10 and b = 10.
  16. 16.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  17. 17.Find the value of 6a + 7b when a = 7 and b = 10.
  18. 18.Find the value of 5y − 1 when y = 6.
  19. 19.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
  20. 20.Gurpreet has p pencils. A friend has 3 more. Which expression shows how many pencils the friend has? (a) p + 3 (b) p ÷ 3 (c) p − 3 (d) 3p
  21. 21.Rohan shares k marbles equally among 7 friends. Which expression shows how many marbles each friend gets? (a) 7k (b) k ÷ 7 (c) k + 7 (d) k − 7
  22. 22.Isha has p flowers. A friend has 9 times as many. Which expression shows how many flowers the friend has? (a) p − 9 (b) 9p (c) p ÷ 9 (d) p + 9
  23. 23.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  24. 24.Meera has p crayons. A friend has 3 more. Which expression shows how many crayons the friend has? (a) p + 3 (b) 3p (c) p − 3 (d) p ÷ 3
  25. 25.Find the value of 4x + 17 when x = 3.
  26. 26.Find the value of 2a + 2b when a = 3 and b = 9.
  27. 27.Find the value of 2a + 9b when a = 9 and b = 5.
  28. 28.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  29. 29.Find the value of 3a + 5b when a = 5 and b = 1.
  30. 30.Solve: x − 2 = 2. What is x?
  31. 31.Solve: 7m = 91. What is m?
  32. 32.Solve: y − 8 = 12. What is y?
  33. 33.Find the value of 9a + 5b when a = 5 and b = 4.
  34. 34.Find the value of 8a + 7b when a = 1 and b = 6.
  35. 35.Find the value of 4a + 6b when a = 6 and b = 1.
  36. 36.Solve: x ÷ 12 = 2. What is x?
  37. 37.Find the value of 7x + 7 when x = 4.
  38. 38.Find the value of 3x + 3 when x = 1.
  39. 39.Find the value of 8n + 12 when n = 2.
  40. 40.Find the value of 5a + 8b when a = 10 and b = 5.

Answer key

  1. 16
  2. n + 7
  3. 41
  4. p ÷ 4
  5. 28
  6. 140
  7. 21
  8. 14
  9. 15
  10. 13
  11. 6
  12. 39
  13. 21
  14. 60
  15. 110
  16. 42
  17. 112
  18. 29
  19. 42
  20. p + 3
  21. k ÷ 7
  22. 9p
  23. 69
  24. p + 3
  25. 29
  26. 24
  27. 63
  28. 46
  29. 20
  30. 4
  31. 13
  32. 20
  33. 65
  34. 50
  35. 30
  36. 24
  37. 35
  38. 6
  39. 28
  40. 90

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