Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 599 · 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.Saanvi has k pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) 5k (b) k + 5 (c) k − 5 (d) k ÷ 5
2. 2.Solve: n + 11 = 23. What is n?
3. 3.Find the value of 8a + 6b when a = 3 and b = 1.
4. 4.Solve: t − 8 = 18. What is t?
5. 5.Solve: p − 10 = 5. What is p?
6. 6.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
7. 7.Solve: x + 12 = 16. What is x?
8. 8.Kabir has m bananas. A friend has 3 fewer. Which expression shows how many bananas the friend has? (a) 3m (b) m + 3 (c) m − 3 (d) m ÷ 3
9. 9.Saanvi has m laddoos. A friend has 5 more. Which expression shows how many laddoos the friend has? (a) m ÷ 5 (b) m + 5 (c) 5m (d) m − 5
10. 10.Find the value of 4a + 5b when a = 7 and b = 7.
11. 11.Find the value of 6a + 5b when a = 4 and b = 4.
12. 12.Find the value of 9a + 5b when a = 6 and b = 4.
13. 13.Kavya has k flowers. A friend has 4 more. Which expression shows how many flowers the friend has? (a) k ÷ 4 (b) 4k (c) k − 4 (d) k + 4
14. 14.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
15. 15.Find the value of 2a + 8b when a = 2 and b = 6.
16. 16.Diya has m kites. A friend has 7 fewer. Which expression shows how many kites the friend has? (a) 7m (b) m − 7 (c) m + 7 (d) m ÷ 7
17. 17.Farhan shares k bananas equally among 4 friends. Which expression shows how many bananas each friend gets? (a) k − 4 (b) k + 4 (c) k ÷ 4 (d) 4k
18. 18.Find the value of 6a + 7b when a = 3 and b = 2.
19. 19.Solve: m − 4 = 15. What is m?
20. 20.Find the value of 8n − 36 when n = 5.
21. 21.Find the value of 4p + 16 when p = 12.
22. 22.Find the value of 4a + 2b when a = 4 and b = 4.
23. 23.Find the value of 2a + 2b when a = 8 and b = 5.
24. 24.Vivaan shares m books equally among 3 friends. Which expression shows how many books each friend gets? (a) 3m (b) m + 3 (c) m ÷ 3 (d) m − 3
25. 25.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
26. 26.Solve: x + 12 = 15. What is x?
27. 27.Find the value of 5t + 9 when t = 7.
28. 28.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
29. 29.Riya has n balloons. A friend has 6 fewer. Which expression shows how many balloons the friend has? (a) n ÷ 6 (b) 6n (c) n − 6 (d) n + 6
30. 30.Joseph has n crayons. A friend has 8 times as many. Which expression shows how many crayons the friend has? (a) n + 8 (b) 8n (c) n ÷ 8 (d) n − 8
31. 31.Solve: x + 7 = 12. What is x?
32. 32.Solve: n + 4 = 9. What is n?
33. 33.Find the value of 9n − 3 when n = 1.
34. 34.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
35. 35.Find the value of 7a + 3b when a = 7 and b = 1.
36. 36.Find the value of 2a + 5b when a = 8 and b = 4.
37. 37.Find the value of 2n − 7 when n = 11.
38. 38.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 29 letters?
39. 39.Find the value of 3p + 14 when p = 12.
40. 40.Solve: n ÷ 2 = 12. What is n?

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