Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 493 · 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.Solve: t − 2 = 19. What is t?
2. 2.Pooja has p kites. A friend has 8 fewer. Which expression shows how many kites the friend has? (a) 8p (b) p + 8 (c) p ÷ 8 (d) p − 8
3. 3.Find the value of 9n + 9 when n = 11.
4. 4.Find the value of 2a + 9b when a = 5 and b = 9.
5. 5.Find the value of 7n + 20 when n = 7.
6. 6.Find the value of 6a + 9b when a = 1 and b = 3.
7. 7.Aditya shares m mangoes equally among 5 friends. Which expression shows how many mangoes each friend gets? (a) m − 5 (b) m ÷ 5 (c) m + 5 (d) 5m
8. 8.Sneha has k balloons. A friend has 2 times as many. Which expression shows how many balloons the friend has? (a) 2k (b) k ÷ 2 (c) k + 2 (d) k − 2
9. 9.Find the value of 9p + 5 when p = 4.
10. 10.Solve: n + 2 = 11. What is n?
11. 11.Solve: y − 4 = 12. What is y?
12. 12.Rahul has p balloons. A friend has 5 fewer. Which expression shows how many balloons the friend has? (a) p ÷ 5 (b) p − 5 (c) p + 5 (d) 5p
13. 13.Solve: n − 5 = 7. What is n?
14. 14.Sneha has p crayons. A friend has 6 more. Which expression shows how many crayons the friend has? (a) 6p (b) p ÷ 6 (c) p + 6 (d) p − 6
15. 15.Find the value of 2a + 7b when a = 10 and b = 4.
16. 16.Solve: p − 5 = 10. What is p?
17. 17.Find the value of 2a + 4b when a = 7 and b = 4.
18. 18.Find the value of 5a + 6b when a = 9 and b = 5.
19. 19.Find the value of 6t + 10 when t = 10.
20. 20.Find the value of 3m + 11 when m = 7.
21. 21.Priya has n crayons. A friend has 6 times as many. Which expression shows how many crayons the friend has? (a) n − 6 (b) n ÷ 6 (c) n + 6 (d) 6n
22. 22.Find the value of 6x − 60 when x = 12.
23. 23.Find the value of 8x + 2 when x = 12.
24. 24.Find the value of 3a + 6b when a = 10 and b = 9.
25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
26. 26.Find the value of 6m + 11 when m = 3.
27. 27.Solve: m − 8 = 18. What is m?
28. 28.Solve: n − 5 = 15. What is n?
29. 29.Find the value of 3a + 2b when a = 3 and b = 6.
30. 30.Find the value of 9p + 16 when p = 8.
31. 31.Meera shares k pencils equally among 8 friends. Which expression shows how many pencils each friend gets? (a) 8k (b) k ÷ 8 (c) k + 8 (d) k − 8
32. 32.Find the value of 9a + 7b when a = 8 and b = 3.
33. 33.Ananya has m kites. A friend has 9 more. Which expression shows how many kites the friend has? (a) m + 9 (b) 9m (c) m − 9 (d) m ÷ 9
34. 34.Find the value of 8a + 5b when a = 4 and b = 2.
35. 35.Solve: y ÷ 4 = 15. What is y?
36. 36.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
37. 37.Karan has k marbles. A friend has 4 more. Which expression shows how many marbles the friend has? (a) k + 4 (b) k − 4 (c) k ÷ 4 (d) 4k
38. 38.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
39. 39.Find the value of 6n − 18 when n = 10.
40. 40.Solve: t − 10 = 3. What is t?

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