Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 100 · 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: x ÷ 4 = 10. What is x?
2. 2.Find the value of 7t − 3 when t = 1.
3. 3.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
4. 4.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
5. 5.Find the value of 7t + 9 when t = 5.
6. 6.Find the value of 3a + 2b when a = 1 and b = 7.
7. 7.Solve: y ÷ 6 = 6. What is y?
8. 8.Find the value of 2y − 4 when y = 8.
9. 9.Find the value of 3a + 6b when a = 3 and b = 7.
10. 10.Find the value of 2t + 15 when t = 12.
11. 11.Solve: x − 5 = 10. What is x?
12. 12.Priya has n flowers. A friend has 4 more. Which expression shows how many flowers the friend has? (a) n − 4 (b) n ÷ 4 (c) n + 4 (d) 4n
13. 13.Solve: 3x = 15. What is x?
14. 14.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
15. 15.Find the value of 2m − 1 when m = 1.
16. 16.Solve: n − 5 = 10. What is n?
17. 17.Find the value of 3m + 1 when m = 1.
18. 18.Find the value of 7p − 52 when p = 11.
19. 19.Solve: x − 7 = 11. What is x?
20. 20.Solve: x − 4 = 11. What is x?
21. 21.Ananya has p balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) p + 5 (b) 5p (c) p − 5 (d) p ÷ 5
22. 22.Find the value of 2n + 14 when n = 11.
23. 23.Solve: x − 4 = 18. What is x?
24. 24.Nisha has p balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) p ÷ 5 (b) p + 5 (c) p − 5 (d) 5p
25. 25.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
26. 26.Isha has n pencils. A friend has 5 times as many. Which expression shows how many pencils the friend has? (a) n + 5 (b) n − 5 (c) n ÷ 5 (d) 5n
27. 27.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
28. 28.Rahul has k kites. A friend has 5 more. Which expression shows how many kites the friend has? (a) k ÷ 5 (b) 5k (c) k − 5 (d) k + 5
29. 29.Find the value of 5a + 2b when a = 5 and b = 3.
30. 30.Solve: t − 6 = 16. What is t?
31. 31.Solve: n − 8 = 2. What is n?
32. 32.Solve: m ÷ 2 = 4. What is m?
33. 33.Arjun has n books. A friend has 5 more. Which expression shows how many books the friend has? (a) 5n (b) n − 5 (c) n + 5 (d) n ÷ 5
34. 34.Find the value of 3m − 5 when m = 2.
35. 35.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
36. 36.Find the value of 3y − 2 when y = 4.
37. 37.Dev has k pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) k ÷ 6 (b) k − 6 (c) 6k (d) k + 6
38. 38.Aarav has k marbles. A friend has 3 fewer. Which expression shows how many marbles the friend has? (a) k − 3 (b) 3k (c) k + 3 (d) k ÷ 3
39. 39.Find the value of 8m + 11 when m = 6.
40. 40.Farhan shares n bananas equally among 5 friends. Which expression shows how many bananas each friend gets? (a) n − 5 (b) 5n (c) n + 5 (d) n ÷ 5

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