Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 345 · 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 − 1 when p = 1.
2. 2.Solve: t + 8 = 25. What is t?
3. 3.Solve: 4n = 32. What is n?
4. 4.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
5. 5.Meera shares n marbles equally among 7 friends. Which expression shows how many marbles each friend gets? (a) 7n (b) n + 7 (c) n − 7 (d) n ÷ 7
6. 6.Find the value of 9x − 5 when x = 1.
7. 7.Saanvi has m laddoos. A friend has 6 more. Which expression shows how many laddoos the friend has? (a) m − 6 (b) m ÷ 6 (c) m + 6 (d) 6m
8. 8.Aarav has n crayons. A friend has 6 more. Which expression shows how many crayons the friend has? (a) n − 6 (b) n + 6 (c) n ÷ 6 (d) 6n
9. 9.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
10. 10.Farhan has m laddoos. A friend has 4 more. Which expression shows how many laddoos the friend has? (a) 4m (b) m + 4 (c) m − 4 (d) m ÷ 4
11. 11.Solve: x + 9 = 21. What is x?
12. 12.Find the value of 8n − 38 when n = 9.
13. 13.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
14. 14.Find the value of 8a + 8b when a = 6 and b = 8.
15. 15.Find the value of 5y − 24 when y = 12.
16. 16.Solve: y + 12 = 26. What is y?
17. 17.Find the value of 4p − 40 when p = 12.
18. 18.Solve: x ÷ 8 = 11. What is x?
19. 19.Priya has n shells. A friend has 9 fewer. Which expression shows how many shells the friend has? (a) n ÷ 9 (b) 9n (c) n + 9 (d) n − 9
20. 20.Solve: y + 4 = 6. What is y?
21. 21.Find the value of 5x + 15 when x = 5.
22. 22.Solve: x ÷ 3 = 2. What is x?
23. 23.Meera has n marbles. A friend has 3 times as many. Which expression shows how many marbles the friend has? (a) 3n (b) n ÷ 3 (c) n + 3 (d) n − 3
24. 24.Find the value of 2p + 20 when p = 2.
25. 25.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
26. 26.Lakshmi has k balloons. A friend has 4 more. Which expression shows how many balloons the friend has? (a) k ÷ 4 (b) k + 4 (c) k − 4 (d) 4k
27. 27.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
28. 28.Find the value of 5y − 10 when y = 7.
29. 29.Find the value of 5y + 1 when y = 7.
30. 30.Find the value of 8a + 7b when a = 2 and b = 3.
31. 31.Find the value of 9m − 79 when m = 10.
32. 32.Solve: x + 2 = 6. What is x?
33. 33.Arjun has n bananas. A friend has 8 more. Which expression shows how many bananas the friend has? (a) n ÷ 8 (b) n + 8 (c) n − 8 (d) 8n
34. 34.Dev shares p balls equally among 3 friends. Which expression shows how many balls each friend gets? (a) p + 3 (b) 3p (c) p − 3 (d) p ÷ 3
35. 35.Solve: m ÷ 2 = 16. What is m?
36. 36.Kavya shares p pencils equally among 5 friends. Which expression shows how many pencils each friend gets? (a) 5p (b) p ÷ 5 (c) p − 5 (d) p + 5
37. 37.Gurpreet has m crayons. A friend has 3 fewer. Which expression shows how many crayons the friend has? (a) 3m (b) m ÷ 3 (c) m − 3 (d) m + 3
38. 38.Solve: t + 4 = 12. What is t?
39. 39.Find the value of 8m − 6 when m = 4.
40. 40.Find the value of 3m + 4 when m = 2.

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