Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 241 · 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: t ÷ 12 = 17. What is t?
2. 2.Solve: y + 3 = 20. What is y?
3. 3.Solve: m + 12 = 18. What is m?
4. 4.Find the value of 2x + 15 when x = 3.
5. 5.Solve: y − 3 = 16. What is y?
6. 6.Find the value of 4y − 1 when y = 1.
7. 7.Kavya has k laddoos. A friend has 3 times as many. Which expression shows how many laddoos the friend has? (a) k + 3 (b) 3k (c) k ÷ 3 (d) k − 3
8. 8.Find the value of 8a + 8b when a = 1 and b = 2.
9. 9.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
10. 10.Find the value of 6a + 2b when a = 9 and b = 8.
11. 11.Find the value of 7x + 2 when x = 1.
12. 12.Rohan shares n crayons equally among 8 friends. Which expression shows how many crayons each friend gets? (a) n − 8 (b) 8n (c) n + 8 (d) n ÷ 8
13. 13.Find the value of 9t + 1 when t = 2.
14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
15. 15.Solve: 8y = 104. What is y?
16. 16.Rohan shares k flowers equally among 6 friends. Which expression shows how many flowers each friend gets? (a) k − 6 (b) k + 6 (c) k ÷ 6 (d) 6k
17. 17.Priya has n balls. A friend has 9 times as many. Which expression shows how many balls the friend has? (a) n + 9 (b) n − 9 (c) n ÷ 9 (d) 9n
18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
19. 19.Find the value of 5x + 1 when x = 3.
20. 20.Find the value of 4a + 6b when a = 10 and b = 9.
21. 21.Find the value of 7a + 9b when a = 1 and b = 6.
22. 22.Solve: n − 9 = 11. What is n?
23. 23.Solve: n + 9 = 18. What is n?
24. 24.Find the value of 5a + 2b when a = 5 and b = 1.
25. 25.Nisha has n bananas. A friend has 5 times as many. Which expression shows how many bananas the friend has? (a) n + 5 (b) n − 5 (c) n ÷ 5 (d) 5n
26. 26.Solve: x + 5 = 6. What is x?
27. 27.Karan has p mangoes. A friend has 3 fewer. Which expression shows how many mangoes the friend has? (a) 3p (b) p + 3 (c) p − 3 (d) p ÷ 3
28. 28.Find the value of 3x + 20 when x = 6.
29. 29.Solve: p − 6 = 11. What is p?
30. 30.Find the value of 4p − 6 when p = 5.
31. 31.Find the value of 3a + 6b when a = 2 and b = 7.
32. 32.Find the value of 8x − 6 when x = 4.
33. 33.Find the value of 6a + 3b when a = 9 and b = 6.
34. 34.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
35. 35.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
36. 36.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
37. 37.Solve: n ÷ 8 = 9. What is n?
38. 38.Find the value of 4n + 2 when n = 3.
39. 39.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
40. 40.Solve: y + 10 = 12. What is y?

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