Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 525 · 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.Karan has n pencils. A friend has 7 fewer. Which expression shows how many pencils the friend has? (a) n ÷ 7 (b) 7n (c) n − 7 (d) n + 7
2. 2.Find the value of 8a + 4b when a = 4 and b = 2.
3. 3.Find the value of 6t + 15 when t = 12.
4. 4.Find the value of 4a + 3b when a = 4 and b = 1.
5. 5.Find the value of 7a + 2b when a = 5 and b = 3.
6. 6.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 16 letters?
7. 7.Find the value of 2a + 7b when a = 8 and b = 10.
8. 8.Find the value of 6a + 2b when a = 8 and b = 4.
9. 9.Solve: x ÷ 6 = 18. What is x?
10. 10.Sneha has p marbles. A friend has 3 fewer. Which expression shows how many marbles the friend has? (a) p + 3 (b) p ÷ 3 (c) p − 3 (d) 3p
11. 11.Find the value of 6a + 6b when a = 4 and b = 5.
12. 12.Arjun has k balls. A friend has 3 times as many. Which expression shows how many balls the friend has? (a) k ÷ 3 (b) 3k (c) k + 3 (d) k − 3
13. 13.Solve: 4y = 8. What is y?
14. 14.Diya has n kites. A friend has 9 times as many. Which expression shows how many kites the friend has? (a) n + 9 (b) n ÷ 9 (c) 9n (d) n − 9
15. 15.Solve: m ÷ 9 = 2. What is m?
16. 16.Find the value of 9a + 5b when a = 7 and b = 1.
17. 17.Solve: n − 4 = 16. What is n?
18. 18.Find the value of 5a + 4b when a = 6 and b = 6.
19. 19.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
20. 20.Zoya has m marbles. A friend has 3 fewer. Which expression shows how many marbles the friend has? (a) m ÷ 3 (b) m + 3 (c) m − 3 (d) 3m
21. 21.Solve: p ÷ 11 = 16. What is p?
22. 22.Vivaan has n pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) n − 7 (b) n ÷ 7 (c) 7n (d) n + 7
23. 23.Solve: p ÷ 12 = 15. What is p?
24. 24.Dev has p shells. A friend has 5 fewer. Which expression shows how many shells the friend has? (a) p − 5 (b) 5p (c) p ÷ 5 (d) p + 5
25. 25.Solve: n ÷ 9 = 15. What is n?
26. 26.Meera has k balloons. A friend has 8 more. Which expression shows how many balloons the friend has? (a) k − 8 (b) k + 8 (c) k ÷ 8 (d) 8k
27. 27.Solve: m − 3 = 1. What is m?
28. 28.Find the value of 3p − 6 when p = 3.
29. 29.Solve: t + 11 = 29. What is t?
30. 30.Diya has p pencils. A friend has 9 times as many. Which expression shows how many pencils the friend has? (a) p − 9 (b) p ÷ 9 (c) 9p (d) p + 9
31. 31.Vivaan has n books. A friend has 7 times as many. Which expression shows how many books the friend has? (a) n − 7 (b) n ÷ 7 (c) n + 7 (d) 7n
32. 32.Nisha has n books. A friend has 4 more. Which expression shows how many books the friend has? (a) n − 4 (b) n ÷ 4 (c) n + 4 (d) 4n
33. 33.Solve: 12n = 36. What is n?
34. 34.Rohan shares n laddoos equally among 2 friends. Which expression shows how many laddoos each friend gets? (a) n ÷ 2 (b) n + 2 (c) 2n (d) n − 2
35. 35.Solve: n − 10 = 1. What is n?
36. 36.Find the value of 2a + 9b when a = 1 and b = 4.
37. 37.Find the value of 4a + 6b when a = 8 and b = 2.
38. 38.Arjun has k marbles. A friend has 4 more. Which expression shows how many marbles the friend has? (a) k − 4 (b) 4k (c) k ÷ 4 (d) k + 4
39. 39.Vivaan shares k crayons equally among 9 friends. Which expression shows how many crayons each friend gets? (a) k + 9 (b) 9k (c) k − 9 (d) k ÷ 9
40. 40.Nisha shares n laddoos equally among 2 friends. Which expression shows how many laddoos each friend gets? (a) n + 2 (b) n − 2 (c) 2n (d) n ÷ 2

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