Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 176 · 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 2a + 6b when a = 6 and b = 7.
2. 2.Arjun has n balls. A friend has 3 more. Which expression shows how many balls the friend has? (a) n − 3 (b) n ÷ 3 (c) 3n (d) n + 3
3. 3.Find the value of 9a + 9b when a = 2 and b = 4.
4. 4.Find the value of 8t − 3 when t = 1.
5. 5.Vivaan has n pencils. A friend has 8 fewer. Which expression shows how many pencils the friend has? (a) n − 8 (b) n ÷ 8 (c) 8n (d) n + 8
6. 6.Solve: x + 4 = 13. What is x?
7. 7.Isha shares p crayons equally among 5 friends. Which expression shows how many crayons each friend gets? (a) p + 5 (b) 5p (c) p ÷ 5 (d) p − 5
8. 8.Isha has m kites. A friend has 3 more. Which expression shows how many kites the friend has? (a) m − 3 (b) 3m (c) m + 3 (d) m ÷ 3
9. 9.Sneha has n balls. A friend has 9 fewer. Which expression shows how many balls the friend has? (a) 9n (b) n ÷ 9 (c) n + 9 (d) n − 9
10. 10.Find the value of 4a + 8b when a = 9 and b = 9.
11. 11.Solve: 6x = 120. What is x?
12. 12.Solve: 7y = 91. What is y?
13. 13.Find the value of 9y + 18 when y = 4.
14. 14.Find the value of 3y − 3 when y = 3.
15. 15.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
16. 16.Find the value of 2n + 1 when n = 8.
17. 17.Solve: m − 2 = 13. What is m?
18. 18.Find the value of 9a + 3b when a = 5 and b = 7.
19. 19.Find the value of 6a + 5b when a = 1 and b = 10.
20. 20.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
21. 21.Find the value of 7n + 15 when n = 5.
22. 22.Diya shares k marbles equally among 4 friends. Which expression shows how many marbles each friend gets? (a) k − 4 (b) k ÷ 4 (c) k + 4 (d) 4k
23. 23.Ananya has m mangoes. A friend has 6 more. Which expression shows how many mangoes the friend has? (a) m ÷ 6 (b) 6m (c) m + 6 (d) m − 6
24. 24.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
25. 25.Find the value of 6y − 3 when y = 1.
26. 26.Find the value of 2a + 3b when a = 6 and b = 1.
27. 27.Find the value of 6t − 2 when t = 2.
28. 28.Meera shares p mangoes equally among 5 friends. Which expression shows how many mangoes each friend gets? (a) p ÷ 5 (b) 5p (c) p + 5 (d) p − 5
29. 29.Find the value of 7x + 19 when x = 3.
30. 30.Aarav shares n balls equally among 7 friends. Which expression shows how many balls each friend gets? (a) n + 7 (b) n − 7 (c) 7n (d) n ÷ 7
31. 31.Solve: 4t = 60. What is t?
32. 32.Solve: x ÷ 3 = 20. What is x?
33. 33.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
34. 34.Find the value of 4p + 2 when p = 12.
35. 35.Aarav has m marbles. A friend has 7 fewer. Which expression shows how many marbles the friend has? (a) m + 7 (b) 7m (c) m − 7 (d) m ÷ 7
36. 36.Kavya has k pencils. A friend has 2 times as many. Which expression shows how many pencils the friend has? (a) 2k (b) k ÷ 2 (c) k − 2 (d) k + 2
37. 37.Find the value of 2m + 8 when m = 6.
38. 38.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
39. 39.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?

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