Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 515 · 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.Find the value of 8t − 2 when t = 1.
2. 2.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
3. 3.Isha has m laddoos. A friend has 9 more. Which expression shows how many laddoos the friend has? (a) m ÷ 9 (b) m + 9 (c) m − 9 (d) 9m
4. 4.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
5. 5.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
6. 6.Find the value of 2a + 3b when a = 8 and b = 5.
7. 7.Kavya has n pencils. A friend has 8 times as many. Which expression shows how many pencils the friend has? (a) 8n (b) n + 8 (c) n ÷ 8 (d) n − 8
8. 8.Find the value of 8n + 7 when n = 8.
9. 9.Find the value of 7x − 16 when x = 5.
10. 10.Find the value of 5x + 6 when x = 5.
11. 11.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
12. 12.Find the value of 8a + 6b when a = 3 and b = 10.
13. 13.Gurpreet has n balloons. A friend has 2 fewer. Which expression shows how many balloons the friend has? (a) n − 2 (b) 2n (c) n ÷ 2 (d) n + 2
14. 14.Solve: y − 7 = 8. What is y?
15. 15.Solve: m + 2 = 21. What is m?
16. 16.Find the value of 2a + 2b when a = 10 and b = 3.
17. 17.Farhan has n pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) 7n (b) n ÷ 7 (c) n − 7 (d) n + 7
18. 18.Arjun has k kites. A friend has 3 more. Which expression shows how many kites the friend has? (a) k + 3 (b) k ÷ 3 (c) k − 3 (d) 3k
19. 19.Solve: n ÷ 2 = 12. What is n?
20. 20.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
21. 21.Find the value of 8a + 4b when a = 6 and b = 7.
22. 22.Find the value of 5a + 9b when a = 8 and b = 3.
23. 23.Find the value of 6a + 2b when a = 8 and b = 10.
24. 24.Find the value of 4a + 4b when a = 7 and b = 1.
25. 25.Solve: t ÷ 2 = 8. What is t?
26. 26.Find the value of 5t + 15 when t = 8.
27. 27.Solve: p + 8 = 10. What is p?
28. 28.Dev has k balls. A friend has 2 times as many. Which expression shows how many balls the friend has? (a) k ÷ 2 (b) k + 2 (c) k − 2 (d) 2k
29. 29.Find the value of 8p − 17 when p = 4.
30. 30.Solve: x − 9 = 3. What is x?
31. 31.Farhan has k balloons. A friend has 6 times as many. Which expression shows how many balloons the friend has? (a) k ÷ 6 (b) 6k (c) k + 6 (d) k − 6
32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
33. 33.Find the value of 5n + 16 when n = 7.
34. 34.Find the value of 3m − 24 when m = 9.
35. 35.Ananya has n mangoes. A friend has 4 fewer. Which expression shows how many mangoes the friend has? (a) n + 4 (b) 4n (c) n − 4 (d) n ÷ 4
36. 36.Solve: 12x = 240. What is x?
37. 37.Solve: p + 3 = 20. What is p?
38. 38.Find the value of 3a + 3b when a = 2 and b = 8.
39. 39.Ishaan shares n bananas equally among 9 friends. Which expression shows how many bananas each friend gets? (a) n + 9 (b) n − 9 (c) 9n (d) n ÷ 9
40. 40.Nisha has n marbles. A friend has 9 times as many. Which expression shows how many marbles the friend has? (a) n − 9 (b) 9n (c) n ÷ 9 (d) n + 9

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