Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 66 · 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.Solve: n − 4 = 12. What is n?
2. 2.Find the value of 3a + 8b when a = 7 and b = 2.
3. 3.Find the value of 3a + 4b when a = 6 and b = 5.
4. 4.Find the value of 6a + 8b when a = 1 and b = 4.
5. 5.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
6. 6.Find the value of 8p + 5 when p = 2.
7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
8. 8.Find the value of 7a + 2b when a = 1 and b = 9.
9. 9.Solve: n ÷ 7 = 16. What is n?
10. 10.Solve: x ÷ 3 = 12. What is x?
11. 11.Find the value of 4x + 3 when x = 3.
12. 12.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
13. 13.Solve: t + 8 = 24. What is t?
14. 14.Find the value of 8a + 3b when a = 7 and b = 6.
15. 15.Find the value of 5a + 7b when a = 7 and b = 4.
16. 16.Find the value of 2t − 12 when t = 8.
17. 17.Lakshmi shares m balls equally among 5 friends. Which expression shows how many balls each friend gets? (a) 5m (b) m ÷ 5 (c) m − 5 (d) m + 5
18. 18.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
19. 19.Tara has p pencils. A friend has 6 times as many. Which expression shows how many pencils the friend has? (a) p ÷ 6 (b) 6p (c) p + 6 (d) p − 6
20. 20.Solve: 3m = 39. What is m?
21. 21.Aarav has m balls. A friend has 9 more. Which expression shows how many balls the friend has? (a) m − 9 (b) m ÷ 9 (c) 9m (d) m + 9
22. 22.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
23. 23.Solve: n − 11 = 7. What is n?
24. 24.Find the value of 3a + 3b when a = 2 and b = 4.
25. 25.Solve: t + 12 = 17. What is t?
26. 26.Manav shares n laddoos equally among 5 friends. Which expression shows how many laddoos each friend gets? (a) n − 5 (b) n + 5 (c) 5n (d) n ÷ 5
27. 27.Find the value of 8x − 6 when x = 1.
28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
29. 29.Solve: m ÷ 12 = 10. What is m?
30. 30.Solve: p ÷ 4 = 6. What is p?
31. 31.Riya has k balloons. A friend has 7 more. Which expression shows how many balloons the friend has? (a) k ÷ 7 (b) 7k (c) k + 7 (d) k − 7
32. 32.Find the value of 9a + 3b when a = 3 and b = 8.
33. 33.Solve: x − 2 = 8. What is x?
34. 34.Kavya has n kites. A friend has 9 fewer. Which expression shows how many kites the friend has? (a) n − 9 (b) 9n (c) n ÷ 9 (d) n + 9
35. 35.Solve: x + 10 = 28. What is x?
36. 36.Karan has m flowers. A friend has 3 times as many. Which expression shows how many flowers the friend has? (a) m ÷ 3 (b) m − 3 (c) 3m (d) m + 3
37. 37.Find the value of 5a + 5b when a = 7 and b = 10.
38. 38.Find the value of 3a + 2b when a = 7 and b = 1.
39. 39.Isha has m bananas. A friend has 4 fewer. Which expression shows how many bananas the friend has? (a) m ÷ 4 (b) m − 4 (c) 4m (d) m + 4
40. 40.Aditya has p balls. A friend has 9 times as many. Which expression shows how many balls the friend has? (a) 9p (b) p − 9 (c) p + 9 (d) p ÷ 9

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