Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 195 · 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: n ÷ 7 = 16. What is n?
2. 2.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
4. 4.Solve: p + 3 = 19. What is p?
5. 5.Solve: p + 8 = 20. What is p?
6. 6.Find the value of 2a + 3b when a = 1 and b = 7.
7. 7.Solve: x − 12 = 17. What is x?
8. 8.Riya has n kites. A friend has 7 more. Which expression shows how many kites the friend has? (a) n + 7 (b) n − 7 (c) n ÷ 7 (d) 7n
9. 9.Solve: y ÷ 3 = 20. What is y?
10. 10.Find the value of 6n − 20 when n = 9.
11. 11.Find the value of 8a + 4b when a = 2 and b = 6.
12. 12.Find the value of 5a + 6b when a = 6 and b = 9.
13. 13.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
14. 14.Find the value of 2n + 9 when n = 6.
15. 15.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
16. 16.Solve: x ÷ 2 = 17. What is x?
17. 17.Find the value of 8a + 7b when a = 7 and b = 1.
18. 18.Find the value of 7n − 14 when n = 3.
19. 19.Arjun has p pencils. A friend has 5 fewer. Which expression shows how many pencils the friend has? (a) p + 5 (b) 5p (c) p ÷ 5 (d) p − 5
20. 20.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
21. 21.Solve: 12p = 36. What is p?
22. 22.Find the value of 6n − 34 when n = 7.
23. 23.Solve: x + 2 = 11. What is x?
24. 24.Find the value of 5a + 6b when a = 7 and b = 3.
25. 25.Find the value of 7a + 3b when a = 1 and b = 1.
26. 26.Find the value of 3a + 2b when a = 3 and b = 10.
27. 27.Rahul has p marbles. A friend has 6 fewer. Which expression shows how many marbles the friend has? (a) p + 6 (b) p − 6 (c) 6p (d) p ÷ 6
28. 28.Joseph has n balloons. A friend has 8 fewer. Which expression shows how many balloons the friend has? (a) n + 8 (b) 8n (c) n − 8 (d) n ÷ 8
29. 29.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
30. 30.Find the value of 6a + 8b when a = 2 and b = 8.
31. 31.Solve: 7t = 21. What is t?
32. 32.Find the value of 9n − 43 when n = 12.
33. 33.Find the value of 3a + 9b when a = 1 and b = 6.
34. 34.Find the value of 8a + 2b when a = 1 and b = 4.
35. 35.Find the value of 8x + 2 when x = 4.
36. 36.Priya shares k balloons equally among 9 friends. Which expression shows how many balloons each friend gets? (a) k + 9 (b) 9k (c) k ÷ 9 (d) k − 9
37. 37.Solve: 3t = 33. What is t?
38. 38.Nisha has p books. A friend has 5 times as many. Which expression shows how many books the friend has? (a) p + 5 (b) p − 5 (c) 5p (d) p ÷ 5
39. 39.Find the value of 6t + 9 when t = 7.
40. 40.Isha has m marbles. A friend has 4 more. Which expression shows how many marbles the friend has? (a) m ÷ 4 (b) 4m (c) m + 4 (d) m − 4

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