Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 248 · 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.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
2. 2.Solve: y − 4 = 11. What is y?
3. 3.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 14 letters?
4. 4.Find the value of 5n − 14 when n = 4.
5. 5.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
6. 6.Kabir has n crayons. A friend has 3 times as many. Which expression shows how many crayons the friend has? (a) n ÷ 3 (b) n − 3 (c) 3n (d) n + 3
7. 7.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
8. 8.Solve: 4m = 60. What is m?
9. 9.Kabir shares k balloons equally among 2 friends. Which expression shows how many balloons each friend gets? (a) k + 2 (b) k ÷ 2 (c) k − 2 (d) 2k
10. 10.Find the value of 4a + 4b when a = 8 and b = 6.
11. 11.Solve: 3y = 42. What is y?
12. 12.Find the value of 7x − 11 when x = 3.
13. 13.Solve: p + 9 = 12. What is p?
14. 14.Find the value of 3n + 4 when n = 8.
15. 15.Find the value of 7a + 6b when a = 10 and b = 1.
16. 16.Find the value of 6x + 5 when x = 6.
17. 17.Solve: p + 2 = 13. What is p?
18. 18.Find the value of 8a + 7b when a = 2 and b = 2.
19. 19.Find the value of 9x + 14 when x = 1.
20. 20.Joseph has n balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) n ÷ 6 (b) n − 6 (c) n + 6 (d) 6n
21. 21.Find the value of 4a + 4b when a = 9 and b = 1.
22. 22.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
23. 23.Find the value of 6p + 6 when p = 11.
24. 24.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
25. 25.Isha shares n books equally among 4 friends. Which expression shows how many books each friend gets? (a) n + 4 (b) n − 4 (c) n ÷ 4 (d) 4n
26. 26.Find the value of 8x − 39 when x = 6.
27. 27.Find the value of 5a + 5b when a = 1 and b = 7.
28. 28.Solve: p + 5 = 18. What is p?
29. 29.Find the value of 6n + 15 when n = 9.
30. 30.Solve: 8n = 24. What is n?
31. 31.Find the value of 3y + 5 when y = 8.
32. 32.Find the value of 7x + 18 when x = 2.
33. 33.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
34. 34.Tara has n flowers. A friend has 3 times as many. Which expression shows how many flowers the friend has? (a) n + 3 (b) n ÷ 3 (c) 3n (d) n − 3
35. 35.Find the value of 4y − 16 when y = 8.
36. 36.Riya has p marbles. A friend has 4 times as many. Which expression shows how many marbles the friend has? (a) p + 4 (b) p − 4 (c) p ÷ 4 (d) 4p
37. 37.Riya has m balls. A friend has 3 more. Which expression shows how many balls the friend has? (a) m − 3 (b) m + 3 (c) m ÷ 3 (d) 3m
38. 38.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
39. 39.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
40. 40.Solve: 3x = 33. What is x?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets