Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 288 · 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.Meera has k pencils. A friend has 6 fewer. Which expression shows how many pencils the friend has? (a) 6k (b) k ÷ 6 (c) k − 6 (d) k + 6
2. 2.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
3. 3.Lakshmi has k kites. A friend has 6 fewer. Which expression shows how many kites the friend has? (a) k + 6 (b) k ÷ 6 (c) 6k (d) k − 6
4. 4.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
5. 5.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
6. 6.Joseph shares m laddoos equally among 6 friends. Which expression shows how many laddoos each friend gets? (a) m + 6 (b) m − 6 (c) 6m (d) m ÷ 6
7. 7.Solve: t + 12 = 31. What is t?
8. 8.Solve: 5n = 20. What is n?
9. 9.Meera has k balls. A friend has 7 more. Which expression shows how many balls the friend has? (a) k ÷ 7 (b) k + 7 (c) k − 7 (d) 7k
10. 10.Find the value of 2a + 9b when a = 1 and b = 5.
11. 11.Solve: y + 4 = 18. What is y?
12. 12.Find the value of 9m + 14 when m = 2.
13. 13.Find the value of 5a + 7b when a = 5 and b = 3.
14. 14.Solve: 8m = 160. What is m?
15. 15.Solve: x ÷ 10 = 11. What is x?
16. 16.Find the value of 7y + 1 when y = 7.
17. 17.Solve: p ÷ 11 = 5. What is p?
18. 18.Solve: y + 10 = 17. What is y?
19. 19.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
20. 20.Find the value of 4n + 17 when n = 3.
21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
22. 22.Find the value of 5t − 5 when t = 8.
23. 23.Find the value of 7a + 6b when a = 6 and b = 3.
24. 24.Find the value of 9x − 16 when x = 8.
25. 25.Find the value of 4p − 11 when p = 4.
26. 26.Manav has p marbles. A friend has 8 fewer. Which expression shows how many marbles the friend has? (a) p + 8 (b) p ÷ 8 (c) 8p (d) p − 8
27. 27.Find the value of 9a + 6b when a = 7 and b = 3.
28. 28.Find the value of 2a + 2b when a = 2 and b = 6.
29. 29.Find the value of 2y − 22 when y = 12.
30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
31. 31.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
32. 32.Manav has p pencils. A friend has 9 more. Which expression shows how many pencils the friend has? (a) 9p (b) p − 9 (c) p ÷ 9 (d) p + 9
33. 33.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
34. 34.Solve: y + 3 = 7. What is y?
35. 35.Find the value of 7a + 7b when a = 7 and b = 4.
36. 36.Nisha shares k bananas equally among 9 friends. Which expression shows how many bananas each friend gets? (a) 9k (b) k + 9 (c) k − 9 (d) k ÷ 9
37. 37.Solve: n ÷ 7 = 7. What is n?
38. 38.Solve: t − 9 = 2. What is t?
39. 39.Sneha shares n flowers equally among 2 friends. Which expression shows how many flowers each friend gets? (a) n + 2 (b) 2n (c) n − 2 (d) n ÷ 2
40. 40.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?

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