Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 339 · 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 E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
2. 2.Find the value of 4a + 2b when a = 6 and b = 2.
3. 3.Find the value of 8t + 9 when t = 10.
4. 4.Find the value of 4m + 18 when m = 11.
5. 5.Solve: y − 11 = 2. What is y?
6. 6.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
7. 7.Solve: y + 9 = 10. What is y?
8. 8.Solve: x ÷ 5 = 5. What is x?
9. 9.Lakshmi has m crayons. A friend has 9 fewer. Which expression shows how many crayons the friend has? (a) m − 9 (b) m ÷ 9 (c) m + 9 (d) 9m
10. 10.Solve: n + 7 = 20. What is n?
11. 11.Find the value of 5n + 17 when n = 8.
12. 12.Find the value of 5a + 3b when a = 9 and b = 7.
13. 13.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
14. 14.Gurpreet shares p marbles equally among 9 friends. Which expression shows how many marbles each friend gets? (a) p + 9 (b) p − 9 (c) p ÷ 9 (d) 9p
15. 15.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
16. 16.Find the value of 8t − 5 when t = 2.
17. 17.Find the value of 3n + 6 when n = 8.
18. 18.Diya has k books. A friend has 3 more. Which expression shows how many books the friend has? (a) k − 3 (b) k ÷ 3 (c) 3k (d) k + 3
19. 19.Rohan shares k flowers equally among 3 friends. Which expression shows how many flowers each friend gets? (a) 3k (b) k ÷ 3 (c) k − 3 (d) k + 3
20. 20.Find the value of 9a + 4b when a = 6 and b = 1.
21. 21.Find the value of 6a + 9b when a = 5 and b = 5.
22. 22.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 11 letters?
23. 23.Solve: n + 3 = 23. What is n?
24. 24.Find the value of 9a + 3b when a = 4 and b = 1.
25. 25.Solve: p − 3 = 11. What is p?
26. 26.Solve: t − 9 = 16. What is t?
27. 27.Find the value of 7a + 9b when a = 5 and b = 6.
28. 28.Solve: t − 10 = 2. What is t?
29. 29.Find the value of 7m − 76 when m = 11.
30. 30.Solve: t ÷ 2 = 4. What is t?
31. 31.Saanvi has n crayons. A friend has 6 more. Which expression shows how many crayons the friend has? (a) n + 6 (b) n − 6 (c) 6n (d) n ÷ 6
32. 32.Isha shares n bananas equally among 2 friends. Which expression shows how many bananas each friend gets? (a) n ÷ 2 (b) 2n (c) n + 2 (d) n − 2
33. 33.Solve: x + 12 = 17. What is x?
34. 34.Solve: 8y = 112. What is y?
35. 35.Kabir has p mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) 3p (b) p − 3 (c) p + 3 (d) p ÷ 3
36. 36.Kavya has p kites. A friend has 2 more. Which expression shows how many kites the friend has? (a) 2p (b) p ÷ 2 (c) p − 2 (d) p + 2
37. 37.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
38. 38.Find the value of 2a + 4b when a = 10 and b = 9.
39. 39.Rohan has k mangoes. A friend has 8 more. Which expression shows how many mangoes the friend has? (a) k ÷ 8 (b) k − 8 (c) 8k (d) k + 8
40. 40.Find the value of 4t + 15 when t = 2.

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