Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 483 · 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.Pooja has m balls. A friend has 9 more. Which expression shows how many balls the friend has? (a) m ÷ 9 (b) m − 9 (c) m + 9 (d) 9m
2. 2.Find the value of 2a + 6b when a = 9 and b = 6.
3. 3.Manav has n balloons. A friend has 8 times as many. Which expression shows how many balloons the friend has? (a) n ÷ 8 (b) n + 8 (c) 8n (d) n − 8
4. 4.Riya has m balls. A friend has 9 more. Which expression shows how many balls the friend has? (a) m − 9 (b) m ÷ 9 (c) 9m (d) m + 9
5. 5.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
6. 6.Solve: m + 2 = 10. What is m?
7. 7.Find the value of 9a + 5b when a = 7 and b = 4.
8. 8.Find the value of 6a + 6b when a = 8 and b = 10.
9. 9.Find the value of 6y + 3 when y = 1.
10. 10.Ananya has m bananas. A friend has 2 more. Which expression shows how many bananas the friend has? (a) m ÷ 2 (b) m − 2 (c) 2m (d) m + 2
11. 11.Find the value of 3a + 3b when a = 10 and b = 7.
12. 12.Solve: t + 5 = 17. What is t?
13. 13.Rahul has p laddoos. A friend has 4 more. Which expression shows how many laddoos the friend has? (a) 4p (b) p − 4 (c) p + 4 (d) p ÷ 4
14. 14.Find the value of 4n − 1 when n = 6.
15. 15.Find the value of 4x + 6 when x = 6.
16. 16.Find the value of 9t − 20 when t = 3.
17. 17.Find the value of 6m + 16 when m = 4.
18. 18.Find the value of 8a + 9b when a = 5 and b = 10.
19. 19.Joseph has n bananas. A friend has 4 times as many. Which expression shows how many bananas the friend has? (a) n − 4 (b) 4n (c) n + 4 (d) n ÷ 4
20. 20.Find the value of 3a + 6b when a = 1 and b = 5.
21. 21.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
22. 22.Find the value of 2y − 3 when y = 4.
23. 23.Solve: x ÷ 12 = 2. What is x?
24. 24.Find the value of 9a + 2b when a = 6 and b = 2.
25. 25.Find the value of 4x + 4 when x = 9.
26. 26.Find the value of 3x + 4 when x = 5.
27. 27.Sneha shares n marbles equally among 8 friends. Which expression shows how many marbles each friend gets? (a) 8n (b) n − 8 (c) n ÷ 8 (d) n + 8
28. 28.Solve: y + 9 = 10. What is y?
29. 29.Solve: y − 12 = 19. What is y?
30. 30.Find the value of 6m − 22 when m = 6.
31. 31.Find the value of 5t − 4 when t = 1.
32. 32.Kavya has p laddoos. A friend has 4 times as many. Which expression shows how many laddoos the friend has? (a) p ÷ 4 (b) p + 4 (c) p − 4 (d) 4p
33. 33.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
34. 34.Find the value of 9a + 7b when a = 10 and b = 3.
35. 35.Find the value of 2a + 8b when a = 10 and b = 2.
36. 36.Rohan has k crayons. A friend has 8 fewer. Which expression shows how many crayons the friend has? (a) k + 8 (b) 8k (c) k ÷ 8 (d) k − 8
37. 37.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
38. 38.Solve: n ÷ 2 = 16. What is n?
39. 39.Farhan shares m balloons equally among 5 friends. Which expression shows how many balloons each friend gets? (a) 5m (b) m ÷ 5 (c) m + 5 (d) m − 5
40. 40.Find the value of 5a + 4b when a = 7 and b = 1.

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