Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 6 · 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: x + 5 = 13. What is x?
2. 2.Solve: t + 2 = 17. What is t?
3. 3.Find the value of 6a + 2b when a = 8 and b = 4.
4. 4.Find the value of 5a + 8b when a = 9 and b = 6.
5. 5.Find the value of 8a + 3b when a = 7 and b = 3.
6. 6.Solve: 12x = 12. What is x?
7. 7.Solve: m ÷ 11 = 16. What is m?
8. 8.Solve: p ÷ 7 = 8. What is p?
9. 9.Find the value of 3t + 18 when t = 7.
10. 10.Solve: n + 4 = 11. What is n?
11. 11.Vivaan has n marbles. A friend has 2 more. Which expression shows how many marbles the friend has? (a) 2n (b) n ÷ 2 (c) n + 2 (d) n − 2
12. 12.Sneha has n kites. A friend has 9 more. Which expression shows how many kites the friend has? (a) n − 9 (b) 9n (c) n ÷ 9 (d) n + 9
13. 13.Riya has p marbles. A friend has 4 more. Which expression shows how many marbles the friend has? (a) p + 4 (b) 4p (c) p ÷ 4 (d) p − 4
14. 14.Manav has k crayons. A friend has 3 more. Which expression shows how many crayons the friend has? (a) k ÷ 3 (b) 3k (c) k + 3 (d) k − 3
15. 15.Solve: t ÷ 7 = 2. What is t?
16. 16.Solve: m − 11 = 12. What is m?
17. 17.Find the value of 7n − 47 when n = 10.
18. 18.Find the value of 3y + 8 when y = 1.
19. 19.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
20. 20.Dev has p balloons. A friend has 5 times as many. Which expression shows how many balloons the friend has? (a) p ÷ 5 (b) 5p (c) p + 5 (d) p − 5
21. 21.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
22. 22.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
23. 23.Solve: 7y = 140. What is y?
24. 24.Tara has p laddoos. A friend has 7 more. Which expression shows how many laddoos the friend has? (a) p ÷ 7 (b) 7p (c) p + 7 (d) p − 7
25. 25.Solve: n + 7 = 10. What is n?
26. 26.Tara shares n kites equally among 9 friends. Which expression shows how many kites each friend gets? (a) n − 9 (b) 9n (c) n + 9 (d) n ÷ 9
27. 27.Kabir has p shells. A friend has 4 fewer. Which expression shows how many shells the friend has? (a) p ÷ 4 (b) 4p (c) p + 4 (d) p − 4
28. 28.Find the value of 7x + 18 when x = 3.
29. 29.Find the value of 9n − 46 when n = 10.
30. 30.Find the value of 4p + 1 when p = 3.
31. 31.Find the value of 8n − 5 when n = 1.
32. 32.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
33. 33.Find the value of 7a + 2b when a = 7 and b = 10.
34. 34.Solve: x − 3 = 19. What is x?
35. 35.Solve: t ÷ 5 = 20. What is t?
36. 36.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
37. 37.Saanvi has k kites. A friend has 3 more. Which expression shows how many kites the friend has? (a) k ÷ 3 (b) 3k (c) k + 3 (d) k − 3
38. 38.Find the value of 9p − 55 when p = 7.
39. 39.Find the value of 9a + 8b when a = 7 and b = 1.
40. 40.Aarav has k books. A friend has 7 fewer. Which expression shows how many books the friend has? (a) k − 7 (b) k + 7 (c) 7k (d) k ÷ 7

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