Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 33 · 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 2a + 3b when a = 2 and b = 2.
2. 2.Solve: p + 10 = 25. What is p?
3. 3.Solve: x ÷ 7 = 14. What is x?
4. 4.Find the value of 2a + 7b when a = 5 and b = 2.
5. 5.Find the value of 4t − 6 when t = 2.
6. 6.Solve: 2m = 4. What is m?
7. 7.Find the value of 2a + 6b when a = 9 and b = 1.
8. 8.Farhan has p kites. A friend has 3 more. Which expression shows how many kites the friend has? (a) p + 3 (b) 3p (c) p ÷ 3 (d) p − 3
9. 9.Solve: t − 9 = 5. What is t?
10. 10.Find the value of 9a + 8b when a = 4 and b = 2.
11. 11.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
12. 12.Manav has p mangoes. A friend has 6 fewer. Which expression shows how many mangoes the friend has? (a) p + 6 (b) p − 6 (c) p ÷ 6 (d) 6p
13. 13.Find the value of 7t + 11 when t = 6.
14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
15. 15.Kavya has n flowers. A friend has 4 times as many. Which expression shows how many flowers the friend has? (a) n + 4 (b) n − 4 (c) n ÷ 4 (d) 4n
16. 16.Find the value of 5a + 8b when a = 8 and b = 2.
17. 17.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
18. 18.Find the value of 3a + 8b when a = 8 and b = 5.
19. 19.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
20. 20.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
21. 21.Find the value of 7p + 20 when p = 7.
22. 22.Find the value of 3x + 4 when x = 7.
23. 23.Find the value of 2a + 2b when a = 5 and b = 5.
24. 24.Find the value of 9a + 5b when a = 6 and b = 8.
25. 25.Rahul shares n laddoos equally among 8 friends. Which expression shows how many laddoos each friend gets? (a) n − 8 (b) n + 8 (c) n ÷ 8 (d) 8n
26. 26.Solve: m − 2 = 18. What is m?
27. 27.Diya has n laddoos. A friend has 5 more. Which expression shows how many laddoos the friend has? (a) 5n (b) n + 5 (c) n ÷ 5 (d) n − 5
28. 28.Meera has k laddoos. A friend has 7 more. Which expression shows how many laddoos the friend has? (a) 7k (b) k − 7 (c) k + 7 (d) k ÷ 7
29. 29.Solve: 6n = 102. What is n?
30. 30.Find the value of 9p + 11 when p = 11.
31. 31.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
32. 32.Find the value of 7t − 16 when t = 4.
33. 33.Dev has m crayons. A friend has 6 fewer. Which expression shows how many crayons the friend has? (a) 6m (b) m + 6 (c) m ÷ 6 (d) m − 6
34. 34.Find the value of 4p − 11 when p = 3.
35. 35.Aarav has k books. A friend has 4 more. Which expression shows how many books the friend has? (a) 4k (b) k − 4 (c) k ÷ 4 (d) k + 4
36. 36.Find the value of 4a + 7b when a = 10 and b = 1.
37. 37.Arjun has m pencils. A friend has 5 fewer. Which expression shows how many pencils the friend has? (a) m − 5 (b) m ÷ 5 (c) m + 5 (d) 5m
38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
39. 39.Solve: y ÷ 12 = 6. What is y?
40. 40.Find the value of 3p + 3 when p = 2.

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