Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 29 · 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.Find the value of 9n − 82 when n = 11.
2. 2.Manav has n mangoes. A friend has 4 more. Which expression shows how many mangoes the friend has? (a) n + 4 (b) n − 4 (c) 4n (d) n ÷ 4
3. 3.Find the value of 6x − 45 when x = 12.
4. 4.Find the value of 5n + 3 when n = 1.
5. 5.Arjun has k bananas. A friend has 5 times as many. Which expression shows how many bananas the friend has? (a) k ÷ 5 (b) k − 5 (c) 5k (d) k + 5
6. 6.Find the value of 9a + 3b when a = 4 and b = 4.
7. 7.Find the value of 3a + 2b when a = 3 and b = 9.
8. 8.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
9. 9.Find the value of 7x − 43 when x = 8.
10. 10.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
11. 11.Find the value of 3a + 3b when a = 6 and b = 9.
12. 12.Solve: y ÷ 5 = 15. What is y?
13. 13.Find the value of 3a + 5b when a = 3 and b = 2.
14. 14.Find the value of 4a + 3b when a = 5 and b = 10.
15. 15.Find the value of 8a + 3b when a = 1 and b = 4.
16. 16.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
17. 17.Find the value of 8x + 6 when x = 3.
18. 18.Find the value of 3y + 12 when y = 1.
19. 19.Find the value of 6a + 2b when a = 9 and b = 2.
20. 20.Find the value of 7p + 13 when p = 2.
21. 21.Riya has m balloons. A friend has 9 more. Which expression shows how many balloons the friend has? (a) m + 9 (b) m ÷ 9 (c) m − 9 (d) 9m
22. 22.Find the value of 7p + 2 when p = 11.
23. 23.Find the value of 5p + 16 when p = 12.
24. 24.Find the value of 7x + 19 when x = 9.
25. 25.Find the value of 6y − 11 when y = 3.
26. 26.Pooja has k shells. A friend has 6 more. Which expression shows how many shells the friend has? (a) k ÷ 6 (b) 6k (c) k + 6 (d) k − 6
27. 27.Solve: t − 10 = 18. What is t?
28. 28.Find the value of 9y − 15 when y = 8.
29. 29.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
30. 30.Zoya shares p bananas equally among 3 friends. Which expression shows how many bananas each friend gets? (a) p − 3 (b) p + 3 (c) p ÷ 3 (d) 3p
31. 31.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
32. 32.Find the value of 9m + 6 when m = 7.
33. 33.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
34. 34.Find the value of 2a + 2b when a = 6 and b = 9.
35. 35.Solve: 12n = 120. What is n?
36. 36.Solve: 4p = 12. What is p?
37. 37.Find the value of 5m + 10 when m = 7.
38. 38.Kavya has p balloons. A friend has 6 more. Which expression shows how many balloons the friend has? (a) p ÷ 6 (b) p + 6 (c) 6p (d) p − 6
39. 39.Riya has n kites. A friend has 6 times as many. Which expression shows how many kites the friend has? (a) 6n (b) n + 6 (c) n − 6 (d) n ÷ 6
40. 40.Lakshmi shares p pencils equally among 5 friends. Which expression shows how many pencils each friend gets? (a) p − 5 (b) 5p (c) p ÷ 5 (d) p + 5

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