Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 543 · 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 5p − 14 when p = 5.
2. 2.Find the value of 3n + 1 when n = 11.
3. 3.Gurpreet has n shells. A friend has 8 times as many. Which expression shows how many shells the friend has? (a) n ÷ 8 (b) 8n (c) n − 8 (d) n + 8
4. 4.Solve: 2m = 2. What is m?
5. 5.Find the value of 3p + 2 when p = 4.
6. 6.Find the value of 9t − 15 when t = 9.
7. 7.Solve: x ÷ 11 = 1. What is x?
8. 8.Find the value of 4x + 18 when x = 12.
9. 9.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
10. 10.Solve: 4m = 8. What is m?
11. 11.Solve: x ÷ 2 = 11. What is x?
12. 12.Find the value of 7y + 5 when y = 9.
13. 13.Solve: 7y = 70. What is y?
14. 14.Zoya has m kites. A friend has 3 times as many. Which expression shows how many kites the friend has? (a) m − 3 (b) m ÷ 3 (c) 3m (d) m + 3
15. 15.Find the value of 6a + 3b when a = 7 and b = 2.
16. 16.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
17. 17.Arjun has p balloons. A friend has 6 fewer. Which expression shows how many balloons the friend has? (a) 6p (b) p ÷ 6 (c) p − 6 (d) p + 6
18. 18.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
19. 19.Solve: x ÷ 4 = 11. What is x?
20. 20.Find the value of 9y + 2 when y = 4.
21. 21.Find the value of 3a + 2b when a = 10 and b = 1.
22. 22.Solve: 12p = 192. What is p?
23. 23.Find the value of 5m − 27 when m = 10.
24. 24.Arjun has p flowers. A friend has 9 times as many. Which expression shows how many flowers the friend has? (a) 9p (b) p − 9 (c) p ÷ 9 (d) p + 9
25. 25.Solve: p ÷ 2 = 14. What is p?
26. 26.Find the value of 8a + 6b when a = 8 and b = 7.
27. 27.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
28. 28.Solve: 2p = 30. What is p?
29. 29.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
30. 30.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
31. 31.Find the value of 4a + 7b when a = 5 and b = 9.
32. 32.Kabir has n kites. A friend has 5 fewer. Which expression shows how many kites the friend has? (a) 5n (b) n − 5 (c) n + 5 (d) n ÷ 5
33. 33.Find the value of 4a + 4b when a = 1 and b = 5.
34. 34.Saanvi shares m marbles equally among 2 friends. Which expression shows how many marbles each friend gets? (a) 2m (b) m − 2 (c) m + 2 (d) m ÷ 2
35. 35.Find the value of 2y − 17 when y = 12.
36. 36.Manav shares p kites equally among 8 friends. Which expression shows how many kites each friend gets? (a) 8p (b) p + 8 (c) p − 8 (d) p ÷ 8
37. 37.Dev shares p shells equally among 6 friends. Which expression shows how many shells each friend gets? (a) p + 6 (b) p − 6 (c) p ÷ 6 (d) 6p
38. 38.Find the value of 6m + 5 when m = 12.
39. 39.Solve: 4t = 48. What is t?
40. 40.Solve: p ÷ 2 = 5. What is p?

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