← Algebra: expressions and simple equations lesson New set →

Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 550 · 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 V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
  2. 2.Solve: n + 12 = 32. What is n?
  3. 3.Solve: n + 10 = 28. What is n?
  4. 4.Kabir shares p bananas equally among 5 friends. Which expression shows how many bananas each friend gets? (a) 5p (b) p + 5 (c) p − 5 (d) p ÷ 5
  5. 5.Find the value of 3y + 5 when y = 2.
  6. 6.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
  7. 7.Find the value of 9n − 27 when n = 8.
  8. 8.Find the value of 8m + 17 when m = 3.
  9. 9.Kabir has k mangoes. A friend has 4 fewer. Which expression shows how many mangoes the friend has? (a) k ÷ 4 (b) 4k (c) k − 4 (d) k + 4
  10. 10.Find the value of 8a + 8b when a = 2 and b = 3.
  11. 11.Find the value of 8y − 8 when y = 7.
  12. 12.Find the value of 6m + 15 when m = 1.
  13. 13.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
  14. 14.Find the value of 3y + 5 when y = 7.
  15. 15.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  16. 16.Find the value of 4x − 1 when x = 3.
  17. 17.Find the value of 5t + 3 when t = 2.
  18. 18.Find the value of 5y + 2 when y = 3.
  19. 19.Karan has p bananas. A friend has 7 more. Which expression shows how many bananas the friend has? (a) p + 7 (b) 7p (c) p − 7 (d) p ÷ 7
  20. 20.Solve: x + 8 = 10. What is x?
  21. 21.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  22. 22.Find the value of 5x + 16 when x = 2.
  23. 23.Pooja has p mangoes. A friend has 5 more. Which expression shows how many mangoes the friend has? (a) 5p (b) p ÷ 5 (c) p + 5 (d) p − 5
  24. 24.Find the value of 3y + 5 when y = 10.
  25. 25.Find the value of 4n − 3 when n = 3.
  26. 26.Find the value of 5p + 4 when p = 11.
  27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
  28. 28.Find the value of 2x − 6 when x = 4.
  29. 29.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
  30. 30.Find the value of 3a + 6b when a = 3 and b = 8.
  31. 31.Find the value of 2p − 16 when p = 10.
  32. 32.Find the value of 8a + 3b when a = 6 and b = 9.
  33. 33.Find the value of 2a + 9b when a = 10 and b = 6.
  34. 34.Solve: y − 8 = 13. What is y?
  35. 35.Find the value of 5a + 9b when a = 6 and b = 5.
  36. 36.Find the value of 7p − 10 when p = 2.
  37. 37.Find the value of 6a + 6b when a = 10 and b = 9.
  38. 38.Solve: x − 8 = 20. What is x?
  39. 39.Find the value of 9a + 4b when a = 7 and b = 2.
  40. 40.Find the value of 6a + 9b when a = 8 and b = 5.

Answer key

  1. 28
  2. 20
  3. 18
  4. p ÷ 5
  5. 11
  6. 92
  7. 45
  8. 41
  9. k − 4
  10. 40
  11. 48
  12. 21
  13. 26
  14. 26
  15. 69
  16. 11
  17. 13
  18. 17
  19. p + 7
  20. 2
  21. 36
  22. 26
  23. p + 5
  24. 35
  25. 9
  26. 59
  27. 48
  28. 2
  29. 30
  30. 57
  31. 4
  32. 75
  33. 74
  34. 21
  35. 75
  36. 4
  37. 114
  38. 28
  39. 71
  40. 93

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