Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 309 · 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.Rohan has k kites. A friend has 9 more. Which expression shows how many kites the friend has? (a) 9k (b) k − 9 (c) k ÷ 9 (d) k + 9
2. 2.Solve: x − 5 = 19. What is x?
3. 3.Find the value of 5t + 9 when t = 8.
4. 4.Find the value of 3n − 1 when n = 2.
5. 5.Kavya has m pencils. A friend has 4 fewer. Which expression shows how many pencils the friend has? (a) m − 4 (b) 4m (c) m + 4 (d) m ÷ 4
6. 6.Find the value of 2a + 9b when a = 8 and b = 6.
7. 7.Solve: m − 4 = 20. What is m?
8. 8.Saanvi has p pencils. A friend has 7 fewer. Which expression shows how many pencils the friend has? (a) p + 7 (b) p − 7 (c) p ÷ 7 (d) 7p
9. 9.Solve: t − 3 = 3. What is t?
10. 10.Find the value of 6p + 3 when p = 8.
11. 11.Solve: 12p = 36. What is p?
12. 12.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
13. 13.Find the value of 5n + 9 when n = 6.
14. 14.Solve: 3p = 24. What is p?
15. 15.Find the value of 8n − 4 when n = 1.
16. 16.Find the value of 5x − 15 when x = 9.
17. 17.Find the value of 9m + 14 when m = 8.
18. 18.Gurpreet shares n pencils equally among 9 friends. Which expression shows how many pencils each friend gets? (a) 9n (b) n + 9 (c) n ÷ 9 (d) n − 9
19. 19.Find the value of 8m + 11 when m = 6.
20. 20.Find the value of 2p + 2 when p = 4.
21. 21.Meera shares m pencils equally among 5 friends. Which expression shows how many pencils each friend gets? (a) 5m (b) m ÷ 5 (c) m + 5 (d) m − 5
22. 22.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 22 letters?
23. 23.Lakshmi has m balloons. A friend has 7 fewer. Which expression shows how many balloons the friend has? (a) m ÷ 7 (b) 7m (c) m + 7 (d) m − 7
24. 24.Joseph has m books. A friend has 7 fewer. Which expression shows how many books the friend has? (a) m + 7 (b) m − 7 (c) m ÷ 7 (d) 7m
25. 25.Vivaan has m crayons. A friend has 9 fewer. Which expression shows how many crayons the friend has? (a) m ÷ 9 (b) m + 9 (c) 9m (d) m − 9
26. 26.Find the value of 2n + 15 when n = 7.
27. 27.Solve: x + 7 = 13. What is x?
28. 28.Find the value of 4y − 2 when y = 2.
29. 29.Solve: y ÷ 3 = 5. What is y?
30. 30.Gurpreet has n laddoos. A friend has 6 times as many. Which expression shows how many laddoos the friend has? (a) n ÷ 6 (b) n + 6 (c) n − 6 (d) 6n
31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
32. 32.Saanvi has n flowers. A friend has 7 fewer. Which expression shows how many flowers the friend has? (a) n − 7 (b) n ÷ 7 (c) 7n (d) n + 7
33. 33.Solve: 3n = 12. What is n?
34. 34.Find the value of 3t − 1 when t = 1.
35. 35.Solve: x + 2 = 5. What is x?
36. 36.Find the value of 2p − 2 when p = 2.
37. 37.Find the value of 4a + 7b when a = 6 and b = 4.
38. 38.Solve: 10n = 130. What is n?
39. 39.Solve: n + 5 = 20. What is n?
40. 40.Find the value of 3a + 5b when a = 1 and b = 8.

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