Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 71 · 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 9p + 7 when p = 5.
2. 2.Gurpreet has m mangoes. A friend has 6 more. Which expression shows how many mangoes the friend has? (a) m + 6 (b) m − 6 (c) 6m (d) m ÷ 6
3. 3.Find the value of 3t − 1 when t = 2.
4. 4.Find the value of 6n + 18 when n = 11.
5. 5.Solve: t ÷ 3 = 3. What is t?
6. 6.Nisha has k marbles. A friend has 4 times as many. Which expression shows how many marbles the friend has? (a) k − 4 (b) k ÷ 4 (c) 4k (d) k + 4
7. 7.Find the value of 9a + 6b when a = 10 and b = 4.
8. 8.Find the value of 2p + 19 when p = 8.
9. 9.Manav has k laddoos. A friend has 2 times as many. Which expression shows how many laddoos the friend has? (a) 2k (b) k − 2 (c) k ÷ 2 (d) k + 2
10. 10.Arjun has n pencils. A friend has 2 fewer. Which expression shows how many pencils the friend has? (a) n ÷ 2 (b) n − 2 (c) n + 2 (d) 2n
11. 11.Find the value of 9t + 15 when t = 1.
12. 12.Solve: n ÷ 11 = 19. What is n?
13. 13.Ananya has n crayons. A friend has 8 more. Which expression shows how many crayons the friend has? (a) n − 8 (b) 8n (c) n ÷ 8 (d) n + 8
14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
15. 15.Find the value of 4n − 5 when n = 5.
16. 16.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
17. 17.Find the value of 6a + 6b when a = 1 and b = 9.
18. 18.Aditya shares k books equally among 3 friends. Which expression shows how many books each friend gets? (a) k ÷ 3 (b) k − 3 (c) 3k (d) k + 3
19. 19.Solve: m + 2 = 5. What is m?
20. 20.Find the value of 2a + 7b when a = 4 and b = 8.
21. 21.Solve: 2y = 12. What is y?
22. 22.Find the value of 7t + 18 when t = 9.
23. 23.Find the value of 7p + 5 when p = 4.
24. 24.Meera has n shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) n − 3 (b) n + 3 (c) 3n (d) n ÷ 3
25. 25.Diya shares m shells equally among 2 friends. Which expression shows how many shells each friend gets? (a) 2m (b) m + 2 (c) m − 2 (d) m ÷ 2
26. 26.Find the value of 3m + 9 when m = 5.
27. 27.Find the value of 3y − 5 when y = 2.
28. 28.Find the value of 4a + 2b when a = 3 and b = 3.
29. 29.Find the value of 6a + 8b when a = 5 and b = 2.
30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
31. 31.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
32. 32.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
33. 33.Find the value of 8y + 20 when y = 6.
34. 34.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
35. 35.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 22 letters?
36. 36.Aditya has n pencils. A friend has 7 fewer. Which expression shows how many pencils the friend has? (a) n ÷ 7 (b) 7n (c) n − 7 (d) n + 7
37. 37.Isha has p pencils. A friend has 2 fewer. Which expression shows how many pencils the friend has? (a) p + 2 (b) 2p (c) p ÷ 2 (d) p − 2
38. 38.Solve: y ÷ 6 = 5. What is y?
39. 39.Joseph has m laddoos. A friend has 5 fewer. Which expression shows how many laddoos the friend has? (a) 5m (b) m − 5 (c) m + 5 (d) m ÷ 5
40. 40.Find the value of 6a + 5b when a = 5 and b = 7.

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