← Algebra: expressions and simple equations lesson New set →

Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 419 · 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.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  2. 2.Find the value of 5a + 7b when a = 3 and b = 1.
  3. 3.Find the value of 6t − 25 when t = 10.
  4. 4.Find the value of 3a + 8b when a = 5 and b = 9.
  5. 5.Find the value of 3a + 8b when a = 7 and b = 3.
  6. 6.Find the value of 8a + 8b when a = 6 and b = 9.
  7. 7.Find the value of 5x − 1 when x = 6.
  8. 8.Solve: n + 4 = 19. What is n?
  9. 9.Find the value of 7a + 4b when a = 2 and b = 5.
  10. 10.Solve: p + 6 = 26. What is p?
  11. 11.Rohan has k crayons. A friend has 9 times as many. Which expression shows how many crayons the friend has? (a) 9k (b) k + 9 (c) k − 9 (d) k ÷ 9
  12. 12.Solve: 9p = 72. What is p?
  13. 13.Find the value of 7a + 7b when a = 8 and b = 4.
  14. 14.Solve: 9p = 162. What is p?
  15. 15.Aditya has k books. A friend has 2 times as many. Which expression shows how many books the friend has? (a) 2k (b) k + 2 (c) k − 2 (d) k ÷ 2
  16. 16.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  17. 17.Gurpreet has n laddoos. A friend has 9 more. Which expression shows how many laddoos the friend has? (a) n + 9 (b) n ÷ 9 (c) n − 9 (d) 9n
  18. 18.Find the value of 8x + 4 when x = 9.
  19. 19.Solve: p − 3 = 19. What is p?
  20. 20.Find the value of 5x − 18 when x = 4.
  21. 21.Solve: y ÷ 2 = 16. What is y?
  22. 22.Solve: y + 12 = 23. What is y?
  23. 23.Find the value of 5n + 2 when n = 1.
  24. 24.Find the value of 3a + 6b when a = 9 and b = 1.
  25. 25.Solve: x ÷ 8 = 3. What is x?
  26. 26.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  28. 28.Solve: 4t = 8. What is t?
  29. 29.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  30. 30.Isha shares k mangoes equally among 3 friends. Which expression shows how many mangoes each friend gets? (a) k ÷ 3 (b) 3k (c) k + 3 (d) k − 3
  31. 31.Solve: n + 10 = 11. What is n?
  32. 32.Zoya has m pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) m − 6 (b) 6m (c) m + 6 (d) m ÷ 6
  33. 33.Find the value of 2y − 3 when y = 2.
  34. 34.Find the value of 8y + 18 when y = 6.
  35. 35.Solve: p ÷ 9 = 3. What is p?
  36. 36.Solve: n − 9 = 20. What is n?
  37. 37.Solve: 4n = 80. What is n?
  38. 38.Solve: m − 4 = 8. What is m?
  39. 39.Find the value of 2m + 10 when m = 9.
  40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?

Answer key

  1. 15
  2. 22
  3. 35
  4. 87
  5. 45
  6. 120
  7. 29
  8. 15
  9. 34
  10. 20
  11. 9k
  12. 8
  13. 84
  14. 18
  15. 2k
  16. 57
  17. n + 9
  18. 76
  19. 22
  20. 2
  21. 32
  22. 11
  23. 7
  24. 33
  25. 24
  26. 22
  27. 46
  28. 2
  29. 44
  30. k ÷ 3
  31. 1
  32. m + 6
  33. 1
  34. 66
  35. 27
  36. 29
  37. 20
  38. 12
  39. 28
  40. 44

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