← Algebra: expressions and simple equations lesson New set →

Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 56 · 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.

NameDateTime takenScore ___ / 40
  1. 1.Solve: t ÷ 3 = 20. What is t?
  2. 2.Rahul has p bananas. A friend has 3 fewer. Which expression shows how many bananas the friend has? (a) p + 3 (b) p ÷ 3 (c) p − 3 (d) 3p
  3. 3.Solve: t − 12 = 3. What is t?
  4. 4.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  5. 5.Solve: x + 5 = 19. What is x?
  6. 6.Find the value of 5p − 31 when p = 9.
  7. 7.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  8. 8.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  9. 9.Find the value of 8a + 5b when a = 1 and b = 5.
  10. 10.Pooja has n laddoos. A friend has 5 times as many. Which expression shows how many laddoos the friend has? (a) 5n (b) n + 5 (c) n ÷ 5 (d) n − 5
  11. 11.Solve: p − 5 = 3. What is p?
  12. 12.Manav shares p mangoes equally among 2 friends. Which expression shows how many mangoes each friend gets? (a) p ÷ 2 (b) p − 2 (c) p + 2 (d) 2p
  13. 13.Find the value of 3a + 4b when a = 6 and b = 2.
  14. 14.Find the value of 2a + 2b when a = 1 and b = 6.
  15. 15.Solve: p + 3 = 13. What is p?
  16. 16.Find the value of 4a + 8b when a = 2 and b = 9.
  17. 17.Solve: 8p = 160. What is p?
  18. 18.Find the value of 2y + 2 when y = 11.
  19. 19.Solve: y + 7 = 17. What is y?
  20. 20.Solve: m ÷ 10 = 4. What is m?
  21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  22. 22.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  23. 23.Solve: x + 6 = 23. What is x?
  24. 24.Find the value of 5a + 8b when a = 1 and b = 6.
  25. 25.Solve: m + 6 = 9. What is m?
  26. 26.Find the value of 4m + 11 when m = 4.
  27. 27.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
  28. 28.Solve: 12p = 36. What is p?
  29. 29.Find the value of 3a + 6b when a = 2 and b = 8.
  30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  31. 31.Solve: n ÷ 2 = 10. What is n?
  32. 32.Solve: p ÷ 11 = 18. What is p?
  33. 33.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  34. 34.Solve: 4m = 4. What is m?
  35. 35.Find the value of 5p + 14 when p = 3.
  36. 36.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  37. 37.Solve: m − 5 = 16. What is m?
  38. 38.Arjun shares k marbles equally among 8 friends. Which expression shows how many marbles each friend gets? (a) k + 8 (b) 8k (c) k − 8 (d) k ÷ 8
  39. 39.Solve: y − 12 = 20. What is y?
  40. 40.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?

Answer key

  1. 60
  2. p − 3
  3. 15
  4. 58
  5. 14
  6. 14
  7. 42
  8. 57
  9. 33
  10. 5n
  11. 8
  12. p ÷ 2
  13. 26
  14. 14
  15. 10
  16. 80
  17. 20
  18. 24
  19. 10
  20. 40
  21. 34
  22. 27
  23. 17
  24. 53
  25. 3
  26. 27
  27. 48
  28. 3
  29. 54
  30. 56
  31. 20
  32. 198
  33. 21
  34. 1
  35. 29
  36. 33
  37. 21
  38. k ÷ 8
  39. 32
  40. 48

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets