← Algebra: expressions and simple equations lesson New set →

Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 116 · 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: p + 11 = 19. What is p?
  2. 2.Isha has p shells. A friend has 7 more. Which expression shows how many shells the friend has? (a) p + 7 (b) p ÷ 7 (c) p − 7 (d) 7p
  3. 3.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  4. 4.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  5. 5.Find the value of 6a + 3b when a = 1 and b = 9.
  6. 6.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  7. 7.Solve: 8x = 104. What is x?
  8. 8.Find the value of 8y − 53 when y = 10.
  9. 9.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 29 letters?
  10. 10.Find the value of 4y − 11 when y = 3.
  11. 11.Farhan has n kites. A friend has 3 more. Which expression shows how many kites the friend has? (a) n + 3 (b) n ÷ 3 (c) 3n (d) n − 3
  12. 12.Solve: m ÷ 6 = 15. What is m?
  13. 13.Solve: x + 11 = 17. What is x?
  14. 14.Solve: 12t = 48. What is t?
  15. 15.Find the value of 8a + 7b when a = 8 and b = 7.
  16. 16.Solve: n ÷ 9 = 12. What is n?
  17. 17.Zoya has n flowers. A friend has 3 more. Which expression shows how many flowers the friend has? (a) n + 3 (b) n ÷ 3 (c) n − 3 (d) 3n
  18. 18.Find the value of 6a + 2b when a = 7 and b = 4.
  19. 19.Find the value of 8a + 2b when a = 2 and b = 1.
  20. 20.Find the value of 8t − 1 when t = 5.
  21. 21.Zoya shares m mangoes equally among 5 friends. Which expression shows how many mangoes each friend gets? (a) 5m (b) m − 5 (c) m + 5 (d) m ÷ 5
  22. 22.Rohan shares k shells equally among 4 friends. Which expression shows how many shells each friend gets? (a) k ÷ 4 (b) 4k (c) k + 4 (d) k − 4
  23. 23.Ishaan has k shells. A friend has 7 times as many. Which expression shows how many shells the friend has? (a) k − 7 (b) k + 7 (c) k ÷ 7 (d) 7k
  24. 24.Kavya has k kites. A friend has 3 fewer. Which expression shows how many kites the friend has? (a) 3k (b) k ÷ 3 (c) k + 3 (d) k − 3
  25. 25.Solve: n + 10 = 17. What is n?
  26. 26.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  27. 27.Find the value of 3a + 2b when a = 7 and b = 8.
  28. 28.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  29. 29.Find the value of 8p − 35 when p = 9.
  30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  31. 31.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
  32. 32.Priya has k books. A friend has 4 more. Which expression shows how many books the friend has? (a) k − 4 (b) k ÷ 4 (c) 4k (d) k + 4
  33. 33.Solve: t + 6 = 10. What is t?
  34. 34.Find the value of 3a + 7b when a = 8 and b = 8.
  35. 35.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
  36. 36.Aarav has m crayons. A friend has 7 times as many. Which expression shows how many crayons the friend has? (a) m + 7 (b) m − 7 (c) m ÷ 7 (d) 7m
  37. 37.Solve: p ÷ 8 = 18. What is p?
  38. 38.Solve: p ÷ 12 = 7. What is p?
  39. 39.Sneha shares m balls equally among 3 friends. Which expression shows how many balls each friend gets? (a) m ÷ 3 (b) m + 3 (c) 3m (d) m − 3
  40. 40.Diya has m books. A friend has 5 more. Which expression shows how many books the friend has? (a) m ÷ 5 (b) 5m (c) m + 5 (d) m − 5

Answer key

  1. 8
  2. p + 7
  3. 24
  4. 52
  5. 33
  6. 12
  7. 13
  8. 27
  9. 116
  10. 1
  11. n + 3
  12. 90
  13. 6
  14. 4
  15. 113
  16. 108
  17. n + 3
  18. 50
  19. 18
  20. 39
  21. m ÷ 5
  22. k ÷ 4
  23. 7k
  24. k − 3
  25. 7
  26. 18
  27. 37
  28. 30
  29. 37
  30. 39
  31. 92
  32. k + 4
  33. 4
  34. 80
  35. 26
  36. 7m
  37. 144
  38. 84
  39. m ÷ 3
  40. m + 5

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