Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 11 · 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.Zoya has p marbles. A friend has 4 fewer. Which expression shows how many marbles the friend has? (a) p − 4 (b) 4p (c) p + 4 (d) p ÷ 4
2. 2.Find the value of 9y − 3 when y = 2.
3. 3.Saanvi shares n mangoes equally among 9 friends. Which expression shows how many mangoes each friend gets? (a) n ÷ 9 (b) 9n (c) n − 9 (d) n + 9
4. 4.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
5. 5.Solve: t ÷ 9 = 12. What is t?
6. 6.Solve: 10x = 80. What is x?
7. 7.Find the value of 3a + 5b when a = 1 and b = 1.
8. 8.Find the value of 2y + 5 when y = 8.
9. 9.Solve: n − 2 = 4. What is n?
10. 10.Solve: n + 3 = 11. What is n?
11. 11.Find the value of 5a + 6b when a = 9 and b = 5.
12. 12.Solve: n − 2 = 13. What is n?
13. 13.Solve: y − 2 = 12. What is y?
14. 14.Find the value of 3a + 2b when a = 4 and b = 5.
15. 15.Rahul has p bananas. A friend has 2 fewer. Which expression shows how many bananas the friend has? (a) 2p (b) p + 2 (c) p ÷ 2 (d) p − 2
16. 16.Solve: t + 8 = 21. What is t?
17. 17.Find the value of 7n + 2 when n = 6.
18. 18.Find the value of 5a + 9b when a = 4 and b = 2.
19. 19.Lakshmi has p balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) p + 4 (b) p ÷ 4 (c) 4p (d) p − 4
20. 20.Find the value of 3m − 16 when m = 10.
21. 21.Solve: n ÷ 5 = 11. What is n?
22. 22.Rohan has m crayons. A friend has 9 fewer. Which expression shows how many crayons the friend has? (a) m − 9 (b) 9m (c) m ÷ 9 (d) m + 9
23. 23.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
24. 24.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
25. 25.Solve: 5n = 80. What is n?
26. 26.Kavya has p mangoes. A friend has 4 times as many. Which expression shows how many mangoes the friend has? (a) p − 4 (b) 4p (c) p ÷ 4 (d) p + 4
27. 27.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
28. 28.Solve: m + 9 = 29. What is m?
29. 29.Meera has k bananas. A friend has 5 more. Which expression shows how many bananas the friend has? (a) k − 5 (b) 5k (c) k ÷ 5 (d) k + 5
30. 30.Find the value of 3a + 6b when a = 1 and b = 10.
31. 31.Solve: n − 10 = 6. What is n?
32. 32.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
33. 33.Find the value of 9a + 2b when a = 9 and b = 10.
34. 34.Solve: 2t = 10. What is t?
35. 35.Find the value of 6y + 16 when y = 11.
36. 36.Solve: t ÷ 11 = 19. What is t?
37. 37.Find the value of 5x + 6 when x = 2.
38. 38.Find the value of 2n + 1 when n = 11.
39. 39.Saanvi has m mangoes. A friend has 3 fewer. Which expression shows how many mangoes the friend has? (a) 3m (b) m − 3 (c) m ÷ 3 (d) m + 3
40. 40.Isha has k kites. A friend has 5 more. Which expression shows how many kites the friend has? (a) k + 5 (b) k − 5 (c) k ÷ 5 (d) 5k

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