← Algebra: expressions and simple equations lesson New set →

Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 177 · 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: y − 12 = 13. What is y?
  2. 2.Find the value of 8a + 4b when a = 4 and b = 10.
  3. 3.Find the value of 9a + 3b when a = 8 and b = 2.
  4. 4.Find the value of 2a + 5b when a = 6 and b = 1.
  5. 5.Find the value of 9a + 5b when a = 8 and b = 3.
  6. 6.Solve: 12p = 168. What is p?
  7. 7.Solve: p + 7 = 27. What is p?
  8. 8.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  9. 9.Find the value of 9x − 4 when x = 3.
  10. 10.Solve: 10n = 120. What is n?
  11. 11.Saanvi has k balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) k ÷ 3 (b) 3k (c) k + 3 (d) k − 3
  12. 12.Solve: m − 11 = 2. What is m?
  13. 13.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  14. 14.Find the value of 7a + 8b when a = 4 and b = 6.
  15. 15.Find the value of 3x + 11 when x = 1.
  16. 16.Find the value of 2a + 2b when a = 1 and b = 5.
  17. 17.Find the value of 9a + 5b when a = 3 and b = 5.
  18. 18.Find the value of 5a + 6b when a = 10 and b = 1.
  19. 19.Kavya has m crayons. A friend has 4 times as many. Which expression shows how many crayons the friend has? (a) m − 4 (b) 4m (c) m + 4 (d) m ÷ 4
  20. 20.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
  21. 21.Find the value of 6a + 5b when a = 8 and b = 6.
  22. 22.Find the value of 4a + 2b when a = 6 and b = 10.
  23. 23.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
  24. 24.Find the value of 6n + 9 when n = 10.
  25. 25.Nisha shares m kites equally among 6 friends. Which expression shows how many kites each friend gets? (a) m + 6 (b) m ÷ 6 (c) 6m (d) m − 6
  26. 26.Kavya has m bananas. A friend has 9 fewer. Which expression shows how many bananas the friend has? (a) m ÷ 9 (b) 9m (c) m − 9 (d) m + 9
  27. 27.Solve: m + 3 = 21. What is m?
  28. 28.Solve: n − 4 = 3. What is n?
  29. 29.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  30. 30.Find the value of 2x − 13 when x = 9.
  31. 31.Solve: x − 4 = 8. What is x?
  32. 32.Find the value of 5p + 3 when p = 1.
  33. 33.Find the value of 8a + 4b when a = 2 and b = 3.
  34. 34.Isha has p crayons. A friend has 6 fewer. Which expression shows how many crayons the friend has? (a) p ÷ 6 (b) p − 6 (c) p + 6 (d) 6p
  35. 35.Find the value of 9a + 8b when a = 8 and b = 3.
  36. 36.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  37. 37.Solve: t ÷ 3 = 1. What is t?
  38. 38.Solve: x ÷ 9 = 20. What is x?
  39. 39.Solve: y ÷ 9 = 20. What is y?
  40. 40.Tara has n flowers. A friend has 2 more. Which expression shows how many flowers the friend has? (a) n ÷ 2 (b) n − 2 (c) n + 2 (d) 2n

Answer key

  1. 25
  2. 72
  3. 78
  4. 17
  5. 87
  6. 14
  7. 20
  8. 16
  9. 23
  10. 12
  11. k − 3
  12. 13
  13. 10
  14. 76
  15. 14
  16. 12
  17. 52
  18. 56
  19. 4m
  20. 96
  21. 78
  22. 44
  23. 51
  24. 69
  25. m ÷ 6
  26. m − 9
  27. 18
  28. 7
  29. 54
  30. 5
  31. 12
  32. 8
  33. 28
  34. p − 6
  35. 96
  36. 27
  37. 3
  38. 180
  39. 180
  40. n + 2

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