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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 148 · 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 9a + 2b when a = 4 and b = 8.
  2. 2.Farhan has n crayons. A friend has 8 fewer. Which expression shows how many crayons the friend has? (a) 8n (b) n + 8 (c) n − 8 (d) n ÷ 8
  3. 3.Arjun has m flowers. A friend has 2 more. Which expression shows how many flowers the friend has? (a) m − 2 (b) m + 2 (c) 2m (d) m ÷ 2
  4. 4.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
  5. 5.Find the value of 9a + 2b when a = 10 and b = 1.
  6. 6.Manav has p mangoes. A friend has 6 more. Which expression shows how many mangoes the friend has? (a) p + 6 (b) p ÷ 6 (c) 6p (d) p − 6
  7. 7.Solve: p + 11 = 20. What is p?
  8. 8.Find the value of 3m + 8 when m = 12.
  9. 9.Tara shares k flowers equally among 9 friends. Which expression shows how many flowers each friend gets? (a) 9k (b) k ÷ 9 (c) k + 9 (d) k − 9
  10. 10.Solve: y ÷ 8 = 5. What is y?
  11. 11.Solve: y + 11 = 18. What is y?
  12. 12.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  13. 13.Find the value of 7n − 3 when n = 1.
  14. 14.Find the value of 3m − 26 when m = 12.
  15. 15.Solve: 4m = 12. What is m?
  16. 16.Solve: t + 10 = 21. What is t?
  17. 17.Find the value of 3a + 2b when a = 9 and b = 10.
  18. 18.Solve: n − 8 = 10. What is n?
  19. 19.Solve: n + 5 = 18. What is n?
  20. 20.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
  21. 21.Find the value of 9y + 6 when y = 1.
  22. 22.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
  23. 23.Pooja shares n pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) n − 7 (b) n ÷ 7 (c) n + 7 (d) 7n
  24. 24.Solve: 3p = 9. What is p?
  25. 25.Find the value of 9a + 9b when a = 1 and b = 8.
  26. 26.Find the value of 3a + 3b when a = 3 and b = 3.
  27. 27.Find the value of 9t + 19 when t = 9.
  28. 28.Find the value of 7a + 4b when a = 4 and b = 2.
  29. 29.Solve: x ÷ 5 = 9. What is x?
  30. 30.Find the value of 6y − 9 when y = 11.
  31. 31.Solve: t − 9 = 14. What is t?
  32. 32.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  33. 33.Solve: 2y = 36. What is y?
  34. 34.Find the value of 6t + 17 when t = 11.
  35. 35.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  36. 36.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
  37. 37.Find the value of 6a + 8b when a = 4 and b = 5.
  38. 38.Solve: x − 6 = 1. What is x?
  39. 39.Solve: 6x = 24. What is x?
  40. 40.Find the value of 6t − 27 when t = 7.

Answer key

  1. 52
  2. n − 8
  3. m + 2
  4. 30
  5. 92
  6. p + 6
  7. 9
  8. 44
  9. k ÷ 9
  10. 40
  11. 7
  12. 69
  13. 4
  14. 10
  15. 3
  16. 11
  17. 47
  18. 18
  19. 13
  20. 26
  21. 15
  22. 30
  23. n ÷ 7
  24. 3
  25. 81
  26. 18
  27. 100
  28. 36
  29. 45
  30. 57
  31. 23
  32. 12
  33. 18
  34. 83
  35. 18
  36. 52
  37. 64
  38. 7
  39. 4
  40. 15

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