Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 3 · 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.Vivaan has n pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) 2n (b) n ÷ 2 (c) n + 2 (d) n − 2
2. 2.Find the value of 2a + 8b when a = 3 and b = 5.
3. 3.Find the value of 4a + 2b when a = 1 and b = 8.
4. 4.Solve: t − 11 = 9. What is t?
5. 5.Solve: n + 2 = 4. What is n?
6. 6.Find the value of 3y + 10 when y = 3.
7. 7.Isha shares n crayons equally among 4 friends. Which expression shows how many crayons each friend gets? (a) n + 4 (b) n ÷ 4 (c) n − 4 (d) 4n
8. 8.Find the value of 4t − 4 when t = 9.
9. 9.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
10. 10.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
11. 11.Find the value of 6a + 8b when a = 8 and b = 3.
12. 12.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
13. 13.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
14. 14.Solve: 5t = 25. What is t?
15. 15.Find the value of 9p + 7 when p = 12.
16. 16.Find the value of 4y − 18 when y = 11.
17. 17.Arjun has m balloons. A friend has 5 fewer. Which expression shows how many balloons the friend has? (a) m ÷ 5 (b) 5m (c) m + 5 (d) m − 5
18. 18.Find the value of 5t + 7 when t = 8.
19. 19.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
20. 20.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
21. 21.Find the value of 8a + 8b when a = 2 and b = 7.
22. 22.Find the value of 2p + 2 when p = 3.
23. 23.Find the value of 4m + 9 when m = 3.
24. 24.Find the value of 3m − 10 when m = 10.
25. 25.Tara has m kites. A friend has 2 more. Which expression shows how many kites the friend has? (a) m + 2 (b) m ÷ 2 (c) m − 2 (d) 2m
26. 26.Find the value of 9a + 8b when a = 3 and b = 1.
27. 27.Find the value of 6n − 3 when n = 1.
28. 28.Find the value of 6x − 31 when x = 6.
29. 29.Saanvi shares m flowers equally among 5 friends. Which expression shows how many flowers each friend gets? (a) m + 5 (b) m ÷ 5 (c) m − 5 (d) 5m
30. 30.Priya has n shells. A friend has 7 times as many. Which expression shows how many shells the friend has? (a) 7n (b) n − 7 (c) n ÷ 7 (d) n + 7
31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
32. 32.Find the value of 6a + 8b when a = 7 and b = 10.
33. 33.Find the value of 9a + 4b when a = 6 and b = 3.
34. 34.Find the value of 3m + 11 when m = 7.
35. 35.Find the value of 3p − 10 when p = 5.
36. 36.Rohan has n marbles. A friend has 9 times as many. Which expression shows how many marbles the friend has? (a) n + 9 (b) 9n (c) n ÷ 9 (d) n − 9
37. 37.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
38. 38.Find the value of 8m − 62 when m = 8.
39. 39.Solve: m ÷ 2 = 10. What is m?
40. 40.Find the value of 5a + 7b when a = 9 and b = 1.

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