Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 555 · 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.Find the value of 6p + 13 when p = 10.
2. 2.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
3. 3.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
4. 4.Find the value of 9a + 3b when a = 10 and b = 6.
5. 5.Find the value of 3p + 15 when p = 7.
6. 6.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
7. 7.Aarav has n mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) 3n (b) n ÷ 3 (c) n + 3 (d) n − 3
8. 8.Solve: m ÷ 8 = 5. What is m?
9. 9.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 25 letters?
10. 10.Kabir has k balls. A friend has 4 fewer. Which expression shows how many balls the friend has? (a) k + 4 (b) k − 4 (c) k ÷ 4 (d) 4k
11. 11.Find the value of 2p − 3 when p = 3.
12. 12.Solve: t + 2 = 3. What is t?
13. 13.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
14. 14.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
15. 15.Find the value of 4y − 13 when y = 8.
16. 16.Find the value of 3a + 4b when a = 4 and b = 2.
17. 17.Find the value of 9a + 4b when a = 2 and b = 2.
18. 18.Dev shares k balloons equally among 4 friends. Which expression shows how many balloons each friend gets? (a) k − 4 (b) 4k (c) k ÷ 4 (d) k + 4
19. 19.Solve: m + 6 = 15. What is m?
20. 20.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
21. 21.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
22. 22.Find the value of 6a + 2b when a = 7 and b = 10.
23. 23.Solve: 9x = 54. What is x?
24. 24.Solve: y − 8 = 12. What is y?
25. 25.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
26. 26.Solve: 3x = 48. What is x?
27. 27.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
28. 28.Find the value of 7a + 9b when a = 9 and b = 7.
29. 29.Find the value of 4p − 3 when p = 1.
30. 30.Find the value of 5n − 10 when n = 4.
31. 31.Solve: y + 11 = 28. What is y?
32. 32.Priya has k flowers. A friend has 6 times as many. Which expression shows how many flowers the friend has? (a) k + 6 (b) 6k (c) k − 6 (d) k ÷ 6
33. 33.Find the value of 6p + 18 when p = 12.
34. 34.Solve: n − 6 = 10. What is n?
35. 35.Solve: x + 3 = 11. What is x?
36. 36.Find the value of 4m + 7 when m = 12.
37. 37.Find the value of 7a + 8b when a = 10 and b = 3.
38. 38.Arjun has k kites. A friend has 8 fewer. Which expression shows how many kites the friend has? (a) 8k (b) k − 8 (c) k ÷ 8 (d) k + 8
39. 39.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
40. 40.Isha has k balloons. A friend has 8 times as many. Which expression shows how many balloons the friend has? (a) k ÷ 8 (b) 8k (c) k + 8 (d) k − 8

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