Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 416 · 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: y ÷ 2 = 17. What is y?
2. 2.Find the value of 9a + 9b when a = 8 and b = 10.
3. 3.Solve: y ÷ 8 = 4. What is y?
4. 4.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
5. 5.Find the value of 9a + 9b when a = 5 and b = 4.
6. 6.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
7. 7.Find the value of 5p − 29 when p = 11.
8. 8.Solve: m ÷ 8 = 15. What is m?
9. 9.Find the value of 2t + 17 when t = 10.
10. 10.Rahul has p balloons. A friend has 6 fewer. Which expression shows how many balloons the friend has? (a) p + 6 (b) p ÷ 6 (c) p − 6 (d) 6p
11. 11.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
12. 12.Find the value of 2a + 9b when a = 7 and b = 5.
13. 13.Aarav has p balls. A friend has 3 fewer. Which expression shows how many balls the friend has? (a) p ÷ 3 (b) 3p (c) p + 3 (d) p − 3
14. 14.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
15. 15.Rohan has n bananas. A friend has 3 more. Which expression shows how many bananas the friend has? (a) n ÷ 3 (b) 3n (c) n − 3 (d) n + 3
16. 16.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
17. 17.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 28 letters?
18. 18.Solve: m − 9 = 19. What is m?
19. 19.Isha shares n balloons equally among 7 friends. Which expression shows how many balloons each friend gets? (a) 7n (b) n + 7 (c) n − 7 (d) n ÷ 7
20. 20.Find the value of 6x + 3 when x = 10.
21. 21.Find the value of 2a + 5b when a = 6 and b = 3.
22. 22.Solve: 9x = 45. What is x?
23. 23.Solve: x − 10 = 20. What is x?
24. 24.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
25. 25.Find the value of 8p + 12 when p = 12.
26. 26.Find the value of 5a + 5b when a = 3 and b = 3.
27. 27.Find the value of 4a + 3b when a = 3 and b = 3.
28. 28.Aarav shares k balloons equally among 2 friends. Which expression shows how many balloons each friend gets? (a) k ÷ 2 (b) k − 2 (c) 2k (d) k + 2
29. 29.Find the value of 8y − 17 when y = 3.
30. 30.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
31. 31.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
32. 32.Solve: t ÷ 8 = 10. What is t?
33. 33.Solve: x − 11 = 1. What is x?
34. 34.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
35. 35.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
36. 36.Riya has n laddoos. A friend has 2 fewer. Which expression shows how many laddoos the friend has? (a) n ÷ 2 (b) 2n (c) n + 2 (d) n − 2
37. 37.Find the value of 2n + 1 when n = 4.
38. 38.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
39. 39.Solve: m − 7 = 8. What is m?
40. 40.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?

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