← Algebra: expressions and simple equations lesson New set →

Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 258 · 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: m ÷ 5 = 14. What is m?
  2. 2.Find the value of 3n + 19 when n = 7.
  3. 3.Find the value of 7t + 9 when t = 8.
  4. 4.Find the value of 2x + 4 when x = 4.
  5. 5.Find the value of 3m + 17 when m = 1.
  6. 6.Priya has k shells. A friend has 8 more. Which expression shows how many shells the friend has? (a) k − 8 (b) k ÷ 8 (c) k + 8 (d) 8k
  7. 7.Find the value of 6y + 11 when y = 10.
  8. 8.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  9. 9.Solve: 5n = 70. What is n?
  10. 10.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  11. 11.Solve: n + 9 = 22. What is n?
  12. 12.Find the value of 8y + 12 when y = 2.
  13. 13.Find the value of 3a + 8b when a = 10 and b = 3.
  14. 14.Solve: 12t = 192. What is t?
  15. 15.Zoya has k pencils. A friend has 4 fewer. Which expression shows how many pencils the friend has? (a) k ÷ 4 (b) k + 4 (c) k − 4 (d) 4k
  16. 16.Find the value of 2p + 5 when p = 10.
  17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
  18. 18.Find the value of 2t − 1 when t = 1.
  19. 19.Solve: x + 2 = 14. What is x?
  20. 20.Farhan shares k kites equally among 2 friends. Which expression shows how many kites each friend gets? (a) k + 2 (b) 2k (c) k ÷ 2 (d) k − 2
  21. 21.Vivaan shares m books equally among 6 friends. Which expression shows how many books each friend gets? (a) m + 6 (b) m − 6 (c) 6m (d) m ÷ 6
  22. 22.Find the value of 8t − 4 when t = 1.
  23. 23.Sneha has k kites. A friend has 9 fewer. Which expression shows how many kites the friend has? (a) k − 9 (b) k ÷ 9 (c) k + 9 (d) 9k
  24. 24.Solve: m ÷ 6 = 8. What is m?
  25. 25.Gurpreet has n pencils. A friend has 3 fewer. Which expression shows how many pencils the friend has? (a) 3n (b) n − 3 (c) n + 3 (d) n ÷ 3
  26. 26.Find the value of 4m + 5 when m = 6.
  27. 27.Find the value of 4a + 9b when a = 3 and b = 9.
  28. 28.Find the value of 4a + 3b when a = 4 and b = 6.
  29. 29.Find the value of 3t − 15 when t = 9.
  30. 30.Vivaan has n shells. A friend has 4 fewer. Which expression shows how many shells the friend has? (a) 4n (b) n − 4 (c) n ÷ 4 (d) n + 4
  31. 31.Solve: m + 3 = 18. What is m?
  32. 32.Find the value of 2t − 16 when t = 12.
  33. 33.Find the value of 5y + 15 when y = 10.
  34. 34.Manav shares k kites equally among 9 friends. Which expression shows how many kites each friend gets? (a) k − 9 (b) k ÷ 9 (c) 9k (d) k + 9
  35. 35.Find the value of 3n + 4 when n = 6.
  36. 36.Find the value of 6y + 1 when y = 12.
  37. 37.Manav has m crayons. A friend has 5 times as many. Which expression shows how many crayons the friend has? (a) 5m (b) m + 5 (c) m − 5 (d) m ÷ 5
  38. 38.Solve: n + 6 = 16. What is n?
  39. 39.Find the value of 2n − 2 when n = 4.
  40. 40.Find the value of 3n + 2 when n = 9.

Answer key

  1. 70
  2. 40
  3. 65
  4. 12
  5. 20
  6. k + 8
  7. 71
  8. 40
  9. 14
  10. 57
  11. 13
  12. 28
  13. 54
  14. 16
  15. k − 4
  16. 25
  17. 20
  18. 1
  19. 12
  20. k ÷ 2
  21. m ÷ 6
  22. 4
  23. k − 9
  24. 48
  25. n − 3
  26. 29
  27. 93
  28. 34
  29. 12
  30. n − 4
  31. 15
  32. 8
  33. 65
  34. k ÷ 9
  35. 22
  36. 73
  37. 5m
  38. 10
  39. 6
  40. 29

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