Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 620 · 40 sums

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.

1. 1.Farhan shares m flowers equally among 2 friends. Which expression shows how many flowers each friend gets? (a) m + 2 (b) m ÷ 2 (c) 2m (d) m − 2
2. 2.Find the value of 4a + 7b when a = 10 and b = 5.
3. 3.Find the value of 4a + 3b when a = 4 and b = 6.
4. 4.Vivaan has k pencils. A friend has 7 fewer. Which expression shows how many pencils the friend has? (a) k ÷ 7 (b) k + 7 (c) 7k (d) k − 7
5. 5.Solve: y + 9 = 18. What is y?
6. 6.Find the value of 5a + 6b when a = 6 and b = 1.
7. 7.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
8. 8.Manav shares k flowers equally among 7 friends. Which expression shows how many flowers each friend gets? (a) k + 7 (b) 7k (c) k ÷ 7 (d) k − 7
9. 9.Find the value of 2x + 9 when x = 10.
10. 10.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
11. 11.Find the value of 4a + 8b when a = 7 and b = 8.
12. 12.Find the value of 9a + 7b when a = 1 and b = 5.
13. 13.Solve: x − 2 = 4. What is x?
14. 14.Aarav shares m laddoos equally among 3 friends. Which expression shows how many laddoos each friend gets? (a) m + 3 (b) m − 3 (c) 3m (d) m ÷ 3
15. 15.Find the value of 8p + 14 when p = 12.
16. 16.Solve: m ÷ 3 = 6. What is m?
17. 17.Priya has n balls. A friend has 7 times as many. Which expression shows how many balls the friend has? (a) 7n (b) n ÷ 7 (c) n + 7 (d) n − 7
18. 18.Find the value of 7a + 8b when a = 8 and b = 5.
19. 19.Solve: x + 7 = 20. What is x?
20. 20.Saanvi shares m balls equally among 3 friends. Which expression shows how many balls each friend gets? (a) 3m (b) m − 3 (c) m + 3 (d) m ÷ 3
21. 21.Find the value of 5x − 42 when x = 9.
22. 22.Find the value of 7m − 44 when m = 7.
23. 23.Solve: p ÷ 11 = 7. What is p?
24. 24.Solve: t + 8 = 9. What is t?
25. 25.Solve: 11x = 11. What is x?
26. 26.Vivaan shares m laddoos equally among 2 friends. Which expression shows how many laddoos each friend gets? (a) m ÷ 2 (b) 2m (c) m + 2 (d) m − 2
27. 27.Find the value of 4a + 6b when a = 7 and b = 4.
28. 28.Solve: 3x = 42. What is x?
29. 29.Solve: n + 2 = 13. What is n?
30. 30.Vivaan has m balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) 6m (b) m ÷ 6 (c) m − 6 (d) m + 6
31. 31.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
32. 32.Find the value of 3n + 5 when n = 12.
33. 33.Find the value of 7m − 56 when m = 12.
34. 34.Dev has m books. A friend has 4 more. Which expression shows how many books the friend has? (a) m ÷ 4 (b) 4m (c) m + 4 (d) m − 4
35. 35.Find the value of 9y − 98 when y = 12.
36. 36.Solve: t ÷ 8 = 15. What is t?
37. 37.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
38. 38.Lakshmi has k pencils. A friend has 2 fewer. Which expression shows how many pencils the friend has? (a) k ÷ 2 (b) k − 2 (c) k + 2 (d) 2k
39. 39.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
40. 40.Solve: n + 8 = 20. What is n?

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