Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 505 · 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 4a + 4b when a = 10 and b = 3.
2. 2.Find the value of 2a + 3b when a = 1 and b = 2.
3. 3.Find the value of 5y − 13 when y = 10.
4. 4.Find the value of 6t − 11 when t = 4.
5. 5.Find the value of 2a + 9b when a = 2 and b = 4.
6. 6.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
7. 7.Sneha has k bananas. A friend has 5 more. Which expression shows how many bananas the friend has? (a) k − 5 (b) 5k (c) k ÷ 5 (d) k + 5
8. 8.Find the value of 9y + 16 when y = 2.
9. 9.Solve: x + 9 = 23. What is x?
10. 10.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
11. 11.Solve: 10p = 140. What is p?
12. 12.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
13. 13.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
14. 14.Find the value of 3a + 8b when a = 6 and b = 10.
15. 15.Find the value of 4y + 6 when y = 5.
16. 16.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
17. 17.Find the value of 6n + 5 when n = 12.
18. 18.Find the value of 3y + 2 when y = 2.
19. 19.Find the value of 9a + 2b when a = 9 and b = 1.
20. 20.Meera has n laddoos. A friend has 5 fewer. Which expression shows how many laddoos the friend has? (a) n ÷ 5 (b) n − 5 (c) 5n (d) n + 5
21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
22. 22.Find the value of 9a + 8b when a = 6 and b = 3.
23. 23.Find the value of 7t + 4 when t = 3.
24. 24.Arjun has p balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) p − 2 (b) p + 2 (c) p ÷ 2 (d) 2p
25. 25.Find the value of 2n − 8 when n = 12.
26. 26.Find the value of 9m + 20 when m = 12.
27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
28. 28.Aarav has m kites. A friend has 4 more. Which expression shows how many kites the friend has? (a) m − 4 (b) m ÷ 4 (c) m + 4 (d) 4m
29. 29.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
30. 30.Find the value of 3m + 5 when m = 4.
31. 31.Solve: p ÷ 3 = 4. What is p?
32. 32.Find the value of 4a + 8b when a = 8 and b = 3.
33. 33.Find the value of 5t − 1 when t = 4.
34. 34.Solve: p ÷ 11 = 9. What is p?
35. 35.Zoya has m pencils. A friend has 7 fewer. Which expression shows how many pencils the friend has? (a) 7m (b) m ÷ 7 (c) m − 7 (d) m + 7
36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
37. 37.Find the value of 8t − 2 when t = 2.
38. 38.Find the value of 4y + 15 when y = 6.
39. 39.Find the value of 9a + 9b when a = 4 and b = 4.
40. 40.Nisha has n marbles. A friend has 9 more. Which expression shows how many marbles the friend has? (a) 9n (b) n − 9 (c) n ÷ 9 (d) n + 9

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