Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 323 · 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.Kavya has k books. A friend has 5 fewer. Which expression shows how many books the friend has? (a) k − 5 (b) k ÷ 5 (c) k + 5 (d) 5k
2. 2.Find the value of 7t − 26 when t = 6.
3. 3.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
4. 4.Rahul shares m laddoos equally among 3 friends. Which expression shows how many laddoos each friend gets? (a) 3m (b) m − 3 (c) m + 3 (d) m ÷ 3
5. 5.Find the value of 2x + 7 when x = 12.
6. 6.Farhan has k crayons. A friend has 4 fewer. Which expression shows how many crayons the friend has? (a) k − 4 (b) 4k (c) k ÷ 4 (d) k + 4
7. 7.Riya has k bananas. A friend has 9 more. Which expression shows how many bananas the friend has? (a) k + 9 (b) 9k (c) k ÷ 9 (d) k − 9
8. 8.Solve: x ÷ 8 = 3. What is x?
9. 9.Find the value of 9a + 7b when a = 8 and b = 6.
10. 10.Solve: n ÷ 5 = 5. What is n?
11. 11.Find the value of 8a + 2b when a = 2 and b = 8.
12. 12.Find the value of 3a + 2b when a = 6 and b = 4.
13. 13.Find the value of 4a + 7b when a = 7 and b = 10.
14. 14.Kabir has m pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) 6m (b) m + 6 (c) m ÷ 6 (d) m − 6
15. 15.Vivaan shares p pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) p ÷ 7 (b) p − 7 (c) p + 7 (d) 7p
16. 16.Find the value of 5n − 11 when n = 12.
17. 17.Find the value of 4a + 8b when a = 9 and b = 8.
18. 18.Solve: p ÷ 4 = 11. What is p?
19. 19.Solve: y ÷ 11 = 9. What is y?
20. 20.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
21. 21.Find the value of 2a + 9b when a = 10 and b = 4.
22. 22.Rahul shares m books equally among 4 friends. Which expression shows how many books each friend gets? (a) m − 4 (b) m + 4 (c) 4m (d) m ÷ 4
23. 23.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
24. 24.Find the value of 3p − 23 when p = 9.
25. 25.Rahul has k books. A friend has 4 more. Which expression shows how many books the friend has? (a) k ÷ 4 (b) 4k (c) k + 4 (d) k − 4
26. 26.Find the value of 2a + 5b when a = 10 and b = 5.
27. 27.Manav has n balloons. A friend has 4 times as many. Which expression shows how many balloons the friend has? (a) n − 4 (b) n + 4 (c) n ÷ 4 (d) 4n
28. 28.Find the value of 3a + 7b when a = 9 and b = 3.
29. 29.Find the value of 2x + 14 when x = 6.
30. 30.Find the value of 6a + 9b when a = 9 and b = 1.
31. 31.Find the value of 5a + 9b when a = 6 and b = 9.
32. 32.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
33. 33.Find the value of 3n + 4 when n = 5.
34. 34.Vivaan has k mangoes. A friend has 9 more. Which expression shows how many mangoes the friend has? (a) 9k (b) k − 9 (c) k ÷ 9 (d) k + 9
35. 35.Solve: 4m = 68. What is m?
36. 36.Gurpreet has k laddoos. A friend has 9 more. Which expression shows how many laddoos the friend has? (a) k − 9 (b) k + 9 (c) 9k (d) k ÷ 9
37. 37.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
38. 38.Solve: y ÷ 9 = 15. What is y?
39. 39.Find the value of 6x + 7 when x = 7.
40. 40.Solve: y − 11 = 3. What is y?

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