← Algebra: expressions and simple equations lesson New set →

Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 348 · 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.Find the value of 4a + 7b when a = 1 and b = 9.
  2. 2.Find the value of 3a + 7b when a = 1 and b = 10.
  3. 3.Meera has m crayons. A friend has 3 fewer. Which expression shows how many crayons the friend has? (a) 3m (b) m − 3 (c) m + 3 (d) m ÷ 3
  4. 4.Find the value of 5x + 10 when x = 11.
  5. 5.Find the value of 2a + 8b when a = 4 and b = 5.
  6. 6.Find the value of 3y + 13 when y = 2.
  7. 7.Solve: y + 5 = 11. What is y?
  8. 8.Tara has p balloons. A friend has 9 more. Which expression shows how many balloons the friend has? (a) 9p (b) p ÷ 9 (c) p − 9 (d) p + 9
  9. 9.Find the value of 5t + 9 when t = 1.
  10. 10.Solve: 7y = 7. What is y?
  11. 11.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  12. 12.Gurpreet has k mangoes. A friend has 3 fewer. Which expression shows how many mangoes the friend has? (a) k ÷ 3 (b) k + 3 (c) k − 3 (d) 3k
  13. 13.Solve: x − 3 = 11. What is x?
  14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
  15. 15.Dev has m flowers. A friend has 2 fewer. Which expression shows how many flowers the friend has? (a) 2m (b) m − 2 (c) m + 2 (d) m ÷ 2
  16. 16.Find the value of 4a + 3b when a = 2 and b = 7.
  17. 17.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  18. 18.Find the value of 8x − 39 when x = 6.
  19. 19.Find the value of 9x + 14 when x = 12.
  20. 20.Find the value of 8a + 4b when a = 4 and b = 8.
  21. 21.Find the value of 4y − 2 when y = 7.
  22. 22.Solve: n + 10 = 22. What is n?
  23. 23.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
  24. 24.Find the value of 7y − 23 when y = 8.
  25. 25.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  26. 26.Gurpreet 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
  27. 27.Find the value of 3a + 2b when a = 6 and b = 1.
  28. 28.Find the value of 6a + 7b when a = 10 and b = 3.
  29. 29.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
  30. 30.Find the value of 7m + 12 when m = 2.
  31. 31.Solve: p ÷ 5 = 1. What is p?
  32. 32.Karan has p flowers. A friend has 4 more. Which expression shows how many flowers the friend has? (a) p + 4 (b) 4p (c) p ÷ 4 (d) p − 4
  33. 33.Find the value of 4a + 2b when a = 1 and b = 8.
  34. 34.Find the value of 5x + 2 when x = 2.
  35. 35.Karan has n kites. A friend has 3 fewer. Which expression shows how many kites the friend has? (a) n ÷ 3 (b) 3n (c) n + 3 (d) n − 3
  36. 36.Solve: 10t = 70. What is t?
  37. 37.Priya has p balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) p − 3 (b) 3p (c) p ÷ 3 (d) p + 3
  38. 38.Find the value of 7a + 8b when a = 1 and b = 9.
  39. 39.Find the value of 7x + 12 when x = 11.
  40. 40.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?

Answer key

  1. 67
  2. 73
  3. m − 3
  4. 65
  5. 48
  6. 19
  7. 6
  8. p + 9
  9. 14
  10. 1
  11. 39
  12. k − 3
  13. 14
  14. 38
  15. m − 2
  16. 29
  17. 46
  18. 9
  19. 122
  20. 64
  21. 26
  22. 12
  23. 26
  24. 33
  25. 18
  26. 2k
  27. 20
  28. 81
  29. 28
  30. 26
  31. 5
  32. p + 4
  33. 20
  34. 12
  35. n − 3
  36. 7
  37. p + 3
  38. 79
  39. 89
  40. 87

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