Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 595 · 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 3x − 4 when x = 3.
2. 2.Find the value of 8n − 6 when n = 7.
3. 3.Sneha has m flowers. A friend has 3 times as many. Which expression shows how many flowers the friend has? (a) m ÷ 3 (b) m + 3 (c) m − 3 (d) 3m
4. 4.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
5. 5.Solve: t − 6 = 18. What is t?
6. 6.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
7. 7.Find the value of 3a + 7b when a = 4 and b = 8.
8. 8.Find the value of 6p − 41 when p = 11.
9. 9.Find the value of 3a + 5b when a = 5 and b = 8.
10. 10.Find the value of 7a + 2b when a = 10 and b = 9.
11. 11.Farhan has k flowers. A friend has 2 times as many. Which expression shows how many flowers the friend has? (a) k ÷ 2 (b) 2k (c) k − 2 (d) k + 2
12. 12.Find the value of 7x + 17 when x = 9.
13. 13.Kavya has n mangoes. A friend has 4 more. Which expression shows how many mangoes the friend has? (a) n ÷ 4 (b) n + 4 (c) 4n (d) n − 4
14. 14.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 16 letters?
15. 15.Find the value of 7y − 2 when y = 2.
16. 16.Each matchstick letter F 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 13 letters?
18. 18.Find the value of 9t + 11 when t = 12.
19. 19.Find the value of 5a + 2b when a = 10 and b = 10.
20. 20.Solve: y + 8 = 20. What is y?
21. 21.Find the value of 5a + 4b when a = 2 and b = 9.
22. 22.Solve: p + 11 = 17. What is p?
23. 23.Solve: t + 5 = 17. What is t?
24. 24.Find the value of 7p − 1 when p = 1.
25. 25.Priya shares p balls equally among 5 friends. Which expression shows how many balls each friend gets? (a) p − 5 (b) p + 5 (c) 5p (d) p ÷ 5
26. 26.Find the value of 3n + 20 when n = 4.
27. 27.Solve: 9x = 54. What is x?
28. 28.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
29. 29.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
30. 30.Aditya has m mangoes. A friend has 4 times as many. Which expression shows how many mangoes the friend has? (a) m − 4 (b) m ÷ 4 (c) 4m (d) m + 4
31. 31.Arjun has p mangoes. A friend has 4 more. Which expression shows how many mangoes the friend has? (a) p ÷ 4 (b) p − 4 (c) 4p (d) p + 4
32. 32.Dev has n laddoos. A friend has 6 more. Which expression shows how many laddoos the friend has? (a) n + 6 (b) 6n (c) n ÷ 6 (d) n − 6
33. 33.Find the value of 7x + 11 when x = 2.
34. 34.Solve: 9p = 27. What is p?
35. 35.Find the value of 3p − 2 when p = 9.
36. 36.Find the value of 6a + 2b when a = 10 and b = 5.
37. 37.Find the value of 5a + 6b when a = 4 and b = 5.
38. 38.Find the value of 8y − 3 when y = 1.
39. 39.Find the value of 8n + 4 when n = 5.
40. 40.Solve: m + 7 = 19. What is m?

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