Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 527 · 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.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 22 letters?
2. 2.Kabir has n laddoos. A friend has 3 fewer. Which expression shows how many laddoos the friend has? (a) n + 3 (b) n − 3 (c) n ÷ 3 (d) 3n
3. 3.Solve: x ÷ 9 = 4. What is x?
4. 4.Find the value of 4a + 9b when a = 5 and b = 2.
5. 5.Arjun has n flowers. A friend has 2 fewer. Which expression shows how many flowers the friend has? (a) 2n (b) n + 2 (c) n − 2 (d) n ÷ 2
6. 6.Priya has p balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) p − 6 (b) 6p (c) p + 6 (d) p ÷ 6
7. 7.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
8. 8.Farhan has p mangoes. A friend has 7 fewer. Which expression shows how many mangoes the friend has? (a) p ÷ 7 (b) p − 7 (c) p + 7 (d) 7p
9. 9.Tara has p mangoes. A friend has 5 more. Which expression shows how many mangoes the friend has? (a) p − 5 (b) p + 5 (c) p ÷ 5 (d) 5p
10. 10.Pooja shares p bananas equally among 9 friends. Which expression shows how many bananas each friend gets? (a) p + 9 (b) 9p (c) p − 9 (d) p ÷ 9
11. 11.Find the value of 3p + 12 when p = 3.
12. 12.Find the value of 7x − 1 when x = 2.
13. 13.Gurpreet has p balls. A friend has 3 fewer. Which expression shows how many balls the friend has? (a) p − 3 (b) p + 3 (c) 3p (d) p ÷ 3
14. 14.Solve: 8n = 24. What is n?
15. 15.Find the value of 3a + 3b when a = 10 and b = 3.
16. 16.Find the value of 7a + 2b when a = 1 and b = 4.
17. 17.Solve: y ÷ 12 = 16. What is y?
18. 18.Find the value of 2x + 1 when x = 2.
19. 19.Solve: 9y = 135. What is y?
20. 20.Find the value of 2a + 6b when a = 1 and b = 7.
21. 21.Find the value of 7n + 7 when n = 7.
22. 22.Find the value of 9t − 2 when t = 3.
23. 23.Solve: 10t = 200. What is t?
24. 24.Find the value of 4m − 7 when m = 8.
25. 25.Find the value of 9a + 9b when a = 7 and b = 6.
26. 26.Solve: 8m = 40. What is m?
27. 27.Find the value of 7a + 4b when a = 3 and b = 8.
28. 28.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
29. 29.Solve: 12p = 72. What is p?
30. 30.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
31. 31.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
32. 32.Solve: y ÷ 8 = 16. What is y?
33. 33.Find the value of 3a + 4b when a = 8 and b = 10.
34. 34.Karan has k marbles. A friend has 7 times as many. Which expression shows how many marbles the friend has? (a) k ÷ 7 (b) k − 7 (c) 7k (d) k + 7
35. 35.Lakshmi has k balls. A friend has 8 times as many. Which expression shows how many balls the friend has? (a) k − 8 (b) k ÷ 8 (c) 8k (d) k + 8
36. 36.Find the value of 9p + 8 when p = 1.
37. 37.Solve: t − 2 = 9. What is t?
38. 38.Solve: 3n = 45. What is n?
39. 39.Find the value of 5y − 13 when y = 9.
40. 40.Solve: p − 9 = 3. What is p?

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