Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 470 · 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: 2n = 38. What is n?
2. 2.Find the value of 4t − 26 when t = 12.
3. 3.Isha shares m balloons equally among 4 friends. Which expression shows how many balloons each friend gets? (a) m ÷ 4 (b) m + 4 (c) 4m (d) m − 4
4. 4.Solve: m ÷ 2 = 19. What is m?
5. 5.Vivaan shares m pencils equally among 3 friends. Which expression shows how many pencils each friend gets? (a) m + 3 (b) m ÷ 3 (c) 3m (d) m − 3
6. 6.Tara shares k marbles equally among 9 friends. Which expression shows how many marbles each friend gets? (a) 9k (b) k − 9 (c) k + 9 (d) k ÷ 9
7. 7.Find the value of 3a + 8b when a = 10 and b = 5.
8. 8.Find the value of 7a + 5b when a = 9 and b = 10.
9. 9.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
10. 10.Find the value of 9m + 19 when m = 12.
11. 11.Find the value of 9a + 3b when a = 1 and b = 1.
12. 12.Solve: x − 10 = 12. What is x?
13. 13.Find the value of 2p + 18 when p = 7.
14. 14.Kabir shares k flowers equally among 3 friends. Which expression shows how many flowers each friend gets? (a) k − 3 (b) k + 3 (c) 3k (d) k ÷ 3
15. 15.Find the value of 6x + 6 when x = 10.
16. 16.Find the value of 2p + 11 when p = 12.
17. 17.Find the value of 2a + 5b when a = 8 and b = 5.
18. 18.Solve: 6t = 30. What is t?
19. 19.Find the value of 9a + 7b when a = 2 and b = 1.
20. 20.Find the value of 3a + 2b when a = 3 and b = 10.
21. 21.Rahul has p balls. A friend has 5 more. Which expression shows how many balls the friend has? (a) p + 5 (b) p ÷ 5 (c) 5p (d) p − 5
22. 22.Find the value of 7n + 12 when n = 3.
23. 23.Find the value of 3p − 5 when p = 2.
24. 24.Find the value of 3x − 11 when x = 4.
25. 25.Rahul shares n laddoos equally among 7 friends. Which expression shows how many laddoos each friend gets? (a) n + 7 (b) n − 7 (c) n ÷ 7 (d) 7n
26. 26.Find the value of 3p + 14 when p = 10.
27. 27.Karan has m kites. A friend has 8 fewer. Which expression shows how many kites the friend has? (a) m − 8 (b) m + 8 (c) m ÷ 8 (d) 8m
28. 28.Priya has m mangoes. A friend has 8 times as many. Which expression shows how many mangoes the friend has? (a) 8m (b) m − 8 (c) m ÷ 8 (d) m + 8
29. 29.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
30. 30.Find the value of 3a + 6b when a = 8 and b = 2.
31. 31.Zoya has n kites. A friend has 6 more. Which expression shows how many kites the friend has? (a) n − 6 (b) 6n (c) n + 6 (d) n ÷ 6
32. 32.Find the value of 8m + 12 when m = 10.
33. 33.Find the value of 8t − 2 when t = 9.
34. 34.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
35. 35.Find the value of 5a + 9b when a = 10 and b = 8.
36. 36.Find the value of 5a + 5b when a = 7 and b = 5.
37. 37.Find the value of 2x + 8 when x = 11.
38. 38.Solve: t + 2 = 9. What is t?
39. 39.Find the value of 8y + 2 when y = 12.
40. 40.Find the value of 2n + 9 when n = 11.

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