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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 194 · 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.Solve: p − 10 = 8. What is p?
  2. 2.Solve: 2y = 40. What is y?
  3. 3.Solve: x + 2 = 3. What is x?
  4. 4.Find the value of 7x − 1 when x = 1.
  5. 5.Find the value of 2a + 2b when a = 5 and b = 3.
  6. 6.Find the value of 6y − 43 when y = 9.
  7. 7.Find the value of 8a + 6b when a = 4 and b = 10.
  8. 8.Solve: 10n = 150. What is n?
  9. 9.Priya has m shells. A friend has 3 times as many. Which expression shows how many shells the friend has? (a) 3m (b) m + 3 (c) m − 3 (d) m ÷ 3
  10. 10.Gurpreet has p kites. A friend has 9 fewer. Which expression shows how many kites the friend has? (a) p ÷ 9 (b) 9p (c) p − 9 (d) p + 9
  11. 11.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
  12. 12.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  13. 13.Manav shares n laddoos equally among 9 friends. Which expression shows how many laddoos each friend gets? (a) n − 9 (b) n ÷ 9 (c) 9n (d) n + 9
  14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
  15. 15.Find the value of 6t + 4 when t = 10.
  16. 16.Find the value of 3t + 10 when t = 4.
  17. 17.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  18. 18.Find the value of 9t + 13 when t = 6.
  19. 19.Find the value of 4y − 5 when y = 5.
  20. 20.Find the value of 3x − 10 when x = 12.
  21. 21.Sneha shares n balloons equally among 5 friends. Which expression shows how many balloons each friend gets? (a) n ÷ 5 (b) 5n (c) n − 5 (d) n + 5
  22. 22.Find the value of 2m + 5 when m = 10.
  23. 23.Find the value of 5a + 2b when a = 7 and b = 7.
  24. 24.Gurpreet has p books. A friend has 2 fewer. Which expression shows how many books the friend has? (a) 2p (b) p − 2 (c) p + 2 (d) p ÷ 2
  25. 25.Find the value of 7p − 11 when p = 2.
  26. 26.Find the value of 4a + 3b when a = 5 and b = 3.
  27. 27.Find the value of 4y + 16 when y = 7.
  28. 28.Solve: p + 4 = 16. What is p?
  29. 29.Find the value of 6a + 7b when a = 10 and b = 3.
  30. 30.Find the value of 7a + 8b when a = 1 and b = 1.
  31. 31.Solve: 2n = 16. What is n?
  32. 32.Pooja shares m mangoes equally among 9 friends. Which expression shows how many mangoes each friend gets? (a) m + 9 (b) m ÷ 9 (c) m − 9 (d) 9m
  33. 33.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  34. 34.Find the value of 9n − 8 when n = 8.
  35. 35.Find the value of 6a + 3b when a = 7 and b = 6.
  36. 36.Find the value of 8a + 7b when a = 7 and b = 2.
  37. 37.Solve: n − 4 = 6. What is n?
  38. 38.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  39. 39.Find the value of 9a + 4b when a = 9 and b = 4.
  40. 40.Solve: p − 4 = 3. What is p?

Answer key

  1. 18
  2. 20
  3. 1
  4. 6
  5. 16
  6. 11
  7. 92
  8. 15
  9. 3m
  10. p − 9
  11. 51
  12. 32
  13. n ÷ 9
  14. 48
  15. 64
  16. 22
  17. 36
  18. 67
  19. 15
  20. 26
  21. n ÷ 5
  22. 25
  23. 49
  24. p − 2
  25. 3
  26. 29
  27. 44
  28. 12
  29. 81
  30. 15
  31. 8
  32. m ÷ 9
  33. 48
  34. 64
  35. 60
  36. 70
  37. 10
  38. 27
  39. 97
  40. 7

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