← Algebra: expressions and simple equations lesson New set →

Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 145 · 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.Ishaan shares n bananas equally among 5 friends. Which expression shows how many bananas each friend gets? (a) n ÷ 5 (b) n + 5 (c) n − 5 (d) 5n
  2. 2.Find the value of 2a + 8b when a = 2 and b = 10.
  3. 3.Find the value of 8t + 17 when t = 9.
  4. 4.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  5. 5.Find the value of 8a + 7b when a = 10 and b = 3.
  6. 6.Find the value of 3n − 7 when n = 11.
  7. 7.Solve: t − 9 = 10. What is t?
  8. 8.Solve: y − 6 = 7. What is y?
  9. 9.Lakshmi has n bananas. A friend has 3 times as many. Which expression shows how many bananas the friend has? (a) n + 3 (b) n ÷ 3 (c) n − 3 (d) 3n
  10. 10.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  11. 11.Find the value of 2a + 7b when a = 4 and b = 5.
  12. 12.Find the value of 9m − 4 when m = 6.
  13. 13.Find the value of 5t + 5 when t = 1.
  14. 14.Find the value of 2a + 2b when a = 5 and b = 5.
  15. 15.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  16. 16.Solve: t + 3 = 7. What is t?
  17. 17.Kavya has m flowers. A friend has 6 times as many. Which expression shows how many flowers the friend has? (a) 6m (b) m + 6 (c) m − 6 (d) m ÷ 6
  18. 18.Find the value of 8a + 9b when a = 4 and b = 1.
  19. 19.Solve: p − 2 = 5. What is p?
  20. 20.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  21. 21.Find the value of 2a + 4b when a = 3 and b = 8.
  22. 22.Find the value of 6a + 5b when a = 6 and b = 4.
  23. 23.Find the value of 5y + 1 when y = 7.
  24. 24.Find the value of 8a + 8b when a = 2 and b = 7.
  25. 25.Find the value of 2x − 9 when x = 6.
  26. 26.Solve: 8x = 48. What is x?
  27. 27.Aarav has p books. A friend has 8 fewer. Which expression shows how many books the friend has? (a) p ÷ 8 (b) p − 8 (c) p + 8 (d) 8p
  28. 28.Solve: x − 2 = 4. What is x?
  29. 29.Rohan has m balls. A friend has 5 more. Which expression shows how many balls the friend has? (a) m + 5 (b) m − 5 (c) 5m (d) m ÷ 5
  30. 30.Solve: 5y = 55. What is y?
  31. 31.Find the value of 3n − 9 when n = 11.
  32. 32.Find the value of 5a + 5b when a = 3 and b = 8.
  33. 33.Nisha has k pencils. A friend has 5 times as many. Which expression shows how many pencils the friend has? (a) 5k (b) k − 5 (c) k + 5 (d) k ÷ 5
  34. 34.Find the value of 6a + 9b when a = 7 and b = 3.
  35. 35.Solve: t + 6 = 24. What is t?
  36. 36.Solve: p − 4 = 20. What is p?
  37. 37.Find the value of 7x − 20 when x = 8.
  38. 38.Solve: t − 9 = 4. What is t?
  39. 39.Solve: p ÷ 8 = 15. What is p?
  40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?

Answer key

  1. n ÷ 5
  2. 84
  3. 89
  4. 87
  5. 101
  6. 26
  7. 19
  8. 13
  9. 3n
  10. 75
  11. 43
  12. 50
  13. 10
  14. 20
  15. 27
  16. 4
  17. 6m
  18. 41
  19. 7
  20. 56
  21. 38
  22. 56
  23. 36
  24. 72
  25. 3
  26. 6
  27. p − 8
  28. 6
  29. m + 5
  30. 11
  31. 24
  32. 55
  33. 5k
  34. 69
  35. 18
  36. 24
  37. 36
  38. 13
  39. 120
  40. 46

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