Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 32 · 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.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
2. 2.Solve: n ÷ 10 = 10. What is n?
3. 3.Tara has p pencils. A friend has 2 times as many. Which expression shows how many pencils the friend has? (a) p + 2 (b) p − 2 (c) p ÷ 2 (d) 2p
4. 4.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
5. 5.Solve: y + 10 = 12. What is y?
6. 6.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
7. 7.Find the value of 7n + 5 when n = 5.
8. 8.Find the value of 7a + 5b when a = 9 and b = 7.
9. 9.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
10. 10.Find the value of 7x − 32 when x = 5.
11. 11.Find the value of 5a + 7b when a = 5 and b = 2.
12. 12.Aarav shares m mangoes equally among 2 friends. Which expression shows how many mangoes each friend gets? (a) 2m (b) m + 2 (c) m − 2 (d) m ÷ 2
13. 13.Find the value of 9n − 10 when n = 2.
14. 14.Manav has k balls. A friend has 2 times as many. Which expression shows how many balls the friend has? (a) k + 2 (b) k − 2 (c) k ÷ 2 (d) 2k
15. 15.Solve: n − 10 = 20. What is n?
16. 16.Find the value of 7y + 18 when y = 11.
17. 17.Find the value of 3a + 8b when a = 5 and b = 2.
18. 18.Solve: y ÷ 6 = 6. What is y?
19. 19.Solve: m ÷ 6 = 15. What is m?
20. 20.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
21. 21.Pooja has n shells. A friend has 8 fewer. Which expression shows how many shells the friend has? (a) n + 8 (b) n ÷ 8 (c) 8n (d) n − 8
22. 22.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
23. 23.Find the value of 5x − 8 when x = 8.
24. 24.Meera shares p kites equally among 4 friends. Which expression shows how many kites each friend gets? (a) p ÷ 4 (b) p + 4 (c) p − 4 (d) 4p
25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
26. 26.Find the value of 7t + 9 when t = 6.
27. 27.Find the value of 5x + 7 when x = 3.
28. 28.Find the value of 8x + 5 when x = 2.
29. 29.Ananya has p balls. A friend has 3 times as many. Which expression shows how many balls the friend has? (a) p ÷ 3 (b) p − 3 (c) 3p (d) p + 3
30. 30.Nisha has m balloons. A friend has 8 more. Which expression shows how many balloons the friend has? (a) m − 8 (b) m ÷ 8 (c) m + 8 (d) 8m
31. 31.Find the value of 8y − 28 when y = 10.
32. 32.Find the value of 8a + 3b when a = 9 and b = 1.
33. 33.Find the value of 4a + 2b when a = 2 and b = 4.
34. 34.Find the value of 9a + 2b when a = 10 and b = 1.
35. 35.Solve: 8m = 112. What is m?
36. 36.Find the value of 6t − 11 when t = 4.
37. 37.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
38. 38.Rahul shares n bananas equally among 4 friends. Which expression shows how many bananas each friend gets? (a) n ÷ 4 (b) n − 4 (c) 4n (d) n + 4
39. 39.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 16 letters?
40. 40.Find the value of 8y − 34 when y = 7.

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