Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 265 · 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.Solve: t − 9 = 10. What is t?
2. 2.Kavya has p balls. A friend has 8 more. Which expression shows how many balls the friend has? (a) 8p (b) p + 8 (c) p ÷ 8 (d) p − 8
3. 3.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
4. 4.Find the value of 7a + 3b when a = 5 and b = 8.
5. 5.Find the value of 7a + 5b when a = 7 and b = 3.
6. 6.Find the value of 3t − 1 when t = 1.
7. 7.Priya shares p books equally among 2 friends. Which expression shows how many books each friend gets? (a) p − 2 (b) p ÷ 2 (c) 2p (d) p + 2
8. 8.Find the value of 3m − 31 when m = 11.
9. 9.Kavya has n books. A friend has 3 more. Which expression shows how many books the friend has? (a) n − 3 (b) 3n (c) n + 3 (d) n ÷ 3
10. 10.Riya shares n mangoes equally among 7 friends. Which expression shows how many mangoes each friend gets? (a) n ÷ 7 (b) n − 7 (c) n + 7 (d) 7n
11. 11.Find the value of 6y + 20 when y = 7.
12. 12.Solve: m ÷ 3 = 18. What is m?
13. 13.Find the value of 3a + 8b when a = 9 and b = 8.
14. 14.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
15. 15.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
16. 16.Find the value of 6a + 7b when a = 3 and b = 10.
17. 17.Diya has p balls. A friend has 3 fewer. Which expression shows how many balls the friend has? (a) p − 3 (b) p ÷ 3 (c) p + 3 (d) 3p
18. 18.Solve: m + 2 = 7. What is m?
19. 19.Priya has n marbles. A friend has 4 times as many. Which expression shows how many marbles the friend has? (a) n − 4 (b) n + 4 (c) 4n (d) n ÷ 4
20. 20.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
21. 21.Find the value of 6a + 3b when a = 1 and b = 8.
22. 22.Solve: t + 9 = 14. What is t?
23. 23.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 28 letters?
24. 24.Solve: x ÷ 5 = 13. What is x?
25. 25.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
26. 26.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
27. 27.Find the value of 9a + 8b when a = 7 and b = 6.
28. 28.Solve: t + 8 = 20. What is t?
29. 29.Aarav has m pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) m − 3 (b) m ÷ 3 (c) m + 3 (d) 3m
30. 30.Find the value of 6a + 9b when a = 1 and b = 8.
31. 31.Find the value of 5m − 1 when m = 1.
32. 32.Solve: y + 10 = 12. What is y?
33. 33.Find the value of 3a + 6b when a = 8 and b = 8.
34. 34.Gurpreet has k balloons. A friend has 2 more. Which expression shows how many balloons the friend has? (a) k + 2 (b) k ÷ 2 (c) k − 2 (d) 2k
35. 35.Aarav has m balloons. A friend has 5 more. Which expression shows how many balloons the friend has? (a) m − 5 (b) 5m (c) m + 5 (d) m ÷ 5
36. 36.Solve: p + 5 = 11. What is p?
37. 37.Find the value of 3a + 4b when a = 4 and b = 2.
38. 38.Find the value of 3y − 1 when y = 4.
39. 39.Find the value of 8a + 4b when a = 6 and b = 6.
40. 40.Joseph has n kites. A friend has 4 fewer. Which expression shows how many kites the friend has? (a) 4n (b) n ÷ 4 (c) n − 4 (d) n + 4

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