Class 6 Maths Worksheet: Algebra

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

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