Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 319 · 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.Aditya has p bananas. A friend has 2 fewer. Which expression shows how many bananas the friend has? (a) p − 2 (b) p + 2 (c) p ÷ 2 (d) 2p
2. 2.Meera has m flowers. A friend has 4 fewer. Which expression shows how many flowers the friend has? (a) m − 4 (b) m ÷ 4 (c) 4m (d) m + 4
3. 3.Find the value of 5y − 10 when y = 6.
4. 4.Find the value of 7n − 4 when n = 4.
5. 5.Find the value of 2a + 8b when a = 4 and b = 5.
6. 6.Ananya has p pencils. A friend has 2 times as many. Which expression shows how many pencils the friend has? (a) p ÷ 2 (b) 2p (c) p − 2 (d) p + 2
7. 7.Find the value of 2x + 3 when x = 9.
8. 8.Priya has p kites. A friend has 2 more. Which expression shows how many kites the friend has? (a) p ÷ 2 (b) p − 2 (c) 2p (d) p + 2
9. 9.Find the value of 8x + 14 when x = 6.
10. 10.Find the value of 6a + 6b when a = 2 and b = 7.
11. 11.Find the value of 5x − 22 when x = 9.
12. 12.Karan has p marbles. A friend has 3 more. Which expression shows how many marbles the friend has? (a) p − 3 (b) p ÷ 3 (c) p + 3 (d) 3p
13. 13.Find the value of 9a + 9b when a = 1 and b = 6.
14. 14.Find the value of 7x − 10 when x = 8.
15. 15.Solve: m + 9 = 28. What is m?
16. 16.Find the value of 4n + 17 when n = 10.
17. 17.Saanvi shares k books equally among 7 friends. Which expression shows how many books each friend gets? (a) k − 7 (b) 7k (c) k ÷ 7 (d) k + 7
18. 18.Meera shares k shells equally among 4 friends. Which expression shows how many shells each friend gets? (a) k + 4 (b) k − 4 (c) k ÷ 4 (d) 4k
19. 19.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
20. 20.Find the value of 3n + 13 when n = 11.
21. 21.Solve: 8x = 32. What is x?
22. 22.Arjun has m laddoos. A friend has 5 fewer. Which expression shows how many laddoos the friend has? (a) m + 5 (b) m ÷ 5 (c) m − 5 (d) 5m
23. 23.Solve: m − 6 = 6. What is m?
24. 24.Lakshmi has n laddoos. A friend has 7 more. Which expression shows how many laddoos the friend has? (a) n − 7 (b) n + 7 (c) 7n (d) n ÷ 7
25. 25.Find the value of 7a + 6b when a = 8 and b = 4.
26. 26.Find the value of 4y + 4 when y = 11.
27. 27.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
28. 28.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
29. 29.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 29 letters?
30. 30.Find the value of 3p + 9 when p = 5.
31. 31.Find the value of 4n − 19 when n = 5.
32. 32.Solve: t − 12 = 10. What is t?
33. 33.Solve: 12m = 48. What is m?
34. 34.Aditya has k kites. A friend has 5 more. Which expression shows how many kites the friend has? (a) 5k (b) k ÷ 5 (c) k + 5 (d) k − 5
35. 35.Find the value of 9a + 6b when a = 5 and b = 1.
36. 36.Find the value of 6y − 18 when y = 6.
37. 37.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
38. 38.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
39. 39.Isha has m laddoos. A friend has 8 fewer. Which expression shows how many laddoos the friend has? (a) m + 8 (b) 8m (c) m − 8 (d) m ÷ 8
40. 40.Ishaan has k balloons. A friend has 8 more. Which expression shows how many balloons the friend has? (a) k − 8 (b) 8k (c) k ÷ 8 (d) k + 8

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