Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 609 · 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 8a + 5b when a = 9 and b = 5.
2. 2.Find the value of 3a + 4b when a = 3 and b = 9.
3. 3.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
4. 4.Find the value of 6a + 7b when a = 3 and b = 8.
5. 5.Zoya has m flowers. A friend has 2 times as many. Which expression shows how many flowers the friend has? (a) m − 2 (b) m + 2 (c) m ÷ 2 (d) 2m
6. 6.Find the value of 4a + 8b when a = 8 and b = 1.
7. 7.Find the value of 7x − 1 when x = 10.
8. 8.Find the value of 6a + 8b when a = 9 and b = 2.
9. 9.Find the value of 4t − 18 when t = 6.
10. 10.Joseph has m balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) 2m (b) m ÷ 2 (c) m − 2 (d) m + 2
11. 11.Farhan has m laddoos. A friend has 4 times as many. Which expression shows how many laddoos the friend has? (a) m ÷ 4 (b) m − 4 (c) 4m (d) m + 4
12. 12.Find the value of 5x + 9 when x = 2.
13. 13.Find the value of 7x − 45 when x = 8.
14. 14.Sneha has p marbles. A friend has 5 fewer. Which expression shows how many marbles the friend has? (a) 5p (b) p + 5 (c) p ÷ 5 (d) p − 5
15. 15.Find the value of 3x + 2 when x = 2.
16. 16.Gurpreet has m books. A friend has 2 times as many. Which expression shows how many books the friend has? (a) m ÷ 2 (b) m + 2 (c) 2m (d) m − 2
17. 17.Find the value of 6a + 9b when a = 6 and b = 10.
18. 18.Solve: 3t = 24. What is t?
19. 19.Priya has p crayons. A friend has 4 more. Which expression shows how many crayons the friend has? (a) p ÷ 4 (b) p − 4 (c) 4p (d) p + 4
20. 20.Find the value of 6a + 9b when a = 6 and b = 4.
21. 21.Find the value of 4p − 9 when p = 11.
22. 22.Riya has n bananas. A friend has 3 more. Which expression shows how many bananas the friend has? (a) 3n (b) n + 3 (c) n ÷ 3 (d) n − 3
23. 23.Find the value of 5m + 13 when m = 3.
24. 24.Find the value of 9p − 17 when p = 8.
25. 25.Find the value of 6y + 11 when y = 12.
26. 26.Find the value of 5a + 6b when a = 5 and b = 8.
27. 27.Find the value of 9a + 2b when a = 2 and b = 3.
28. 28.Rahul has p mangoes. A friend has 4 times as many. Which expression shows how many mangoes the friend has? (a) p − 4 (b) p ÷ 4 (c) 4p (d) p + 4
29. 29.Solve: 6x = 72. What is x?
30. 30.Find the value of 8a + 2b when a = 6 and b = 5.
31. 31.Rohan has m mangoes. A friend has 6 more. Which expression shows how many mangoes the friend has? (a) 6m (b) m − 6 (c) m + 6 (d) m ÷ 6
32. 32.Solve: x − 8 = 1. What is x?
33. 33.Solve: n + 5 = 20. What is n?
34. 34.Ananya has p books. A friend has 2 more. Which expression shows how many books the friend has? (a) p − 2 (b) 2p (c) p + 2 (d) p ÷ 2
35. 35.Find the value of 9a + 5b when a = 3 and b = 5.
36. 36.Find the value of 5t − 22 when t = 6.
37. 37.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
38. 38.Solve: 4n = 24. What is n?
39. 39.Find the value of 9n − 6 when n = 11.
40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?

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