Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 304 · 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 p bananas. A friend has 5 times as many. Which expression shows how many bananas the friend has? (a) p − 5 (b) p ÷ 5 (c) p + 5 (d) 5p
2. 2.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
3. 3.Find the value of 8m + 20 when m = 12.
4. 4.Find the value of 5a + 9b when a = 1 and b = 3.
5. 5.Find the value of 9x − 71 when x = 12.
6. 6.Find the value of 3x + 2 when x = 5.
7. 7.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
8. 8.Find the value of 7y + 16 when y = 3.
9. 9.Solve: t + 8 = 10. What is t?
10. 10.Find the value of 3a + 2b when a = 5 and b = 5.
11. 11.Solve: t − 9 = 1. What is t?
12. 12.Find the value of 7m + 13 when m = 1.
13. 13.Find the value of 9a + 9b when a = 7 and b = 1.
14. 14.Find the value of 2a + 3b when a = 1 and b = 9.
15. 15.Ananya shares n pencils equally among 3 friends. Which expression shows how many pencils each friend gets? (a) n − 3 (b) n + 3 (c) n ÷ 3 (d) 3n
16. 16.Ishaan has n balls. A friend has 3 fewer. Which expression shows how many balls the friend has? (a) 3n (b) n + 3 (c) n ÷ 3 (d) n − 3
17. 17.Meera shares m balloons equally among 6 friends. Which expression shows how many balloons each friend gets? (a) m + 6 (b) m − 6 (c) m ÷ 6 (d) 6m
18. 18.Find the value of 6a + 5b when a = 4 and b = 4.
19. 19.Farhan shares n laddoos equally among 3 friends. Which expression shows how many laddoos each friend gets? (a) n − 3 (b) n + 3 (c) 3n (d) n ÷ 3
20. 20.Solve: x − 8 = 4. What is x?
21. 21.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
22. 22.Solve: t ÷ 9 = 2. What is t?
23. 23.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
24. 24.Find the value of 8m − 7 when m = 2.
25. 25.Find the value of 8a + 3b when a = 1 and b = 1.
26. 26.Saanvi has n balloons. A friend has 5 fewer. Which expression shows how many balloons the friend has? (a) n + 5 (b) 5n (c) n ÷ 5 (d) n − 5
27. 27.Find the value of 7t + 15 when t = 1.
28. 28.Find the value of 4y + 17 when y = 11.
29. 29.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
30. 30.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
31. 31.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
32. 32.Aarav shares k flowers equally among 4 friends. Which expression shows how many flowers each friend gets? (a) k ÷ 4 (b) k + 4 (c) 4k (d) k − 4
33. 33.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
34. 34.Find the value of 4a + 3b when a = 5 and b = 4.
35. 35.Solve: m + 9 = 22. What is m?
36. 36.Solve: n + 10 = 23. What is n?
37. 37.Solve: m + 2 = 4. What is m?
38. 38.Find the value of 2p + 17 when p = 2.
39. 39.Solve: x ÷ 11 = 8. What is x?
40. 40.Kavya has n balloons. A friend has 4 fewer. Which expression shows how many balloons the friend has? (a) n − 4 (b) n ÷ 4 (c) 4n (d) n + 4

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