Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 131 · 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 6n − 1 when n = 3.
2. 2.Find the value of 3a + 7b when a = 10 and b = 7.
3. 3.Solve: x ÷ 2 = 3. What is x?
4. 4.Solve: y ÷ 2 = 4. What is y?
5. 5.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
6. 6.Solve: t + 8 = 21. What is t?
7. 7.Solve: x ÷ 7 = 17. What is x?
8. 8.Find the value of 4y + 6 when y = 3.
9. 9.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
10. 10.Find the value of 3m + 7 when m = 1.
11. 11.Find the value of 3a + 3b when a = 8 and b = 10.
12. 12.Priya has m bananas. A friend has 8 fewer. Which expression shows how many bananas the friend has? (a) m ÷ 8 (b) m − 8 (c) m + 8 (d) 8m
13. 13.Aarav shares k books equally among 2 friends. Which expression shows how many books each friend gets? (a) 2k (b) k − 2 (c) k ÷ 2 (d) k + 2
14. 14.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
15. 15.Find the value of 5n + 11 when n = 1.
16. 16.Solve: y + 8 = 22. What is y?
17. 17.Solve: n − 6 = 12. What is n?
18. 18.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
19. 19.Solve: n ÷ 4 = 2. What is n?
20. 20.Ananya has n balls. A friend has 6 fewer. Which expression shows how many balls the friend has? (a) 6n (b) n − 6 (c) n + 6 (d) n ÷ 6
21. 21.Find the value of 3p + 10 when p = 4.
22. 22.Diya has k shells. A friend has 5 more. Which expression shows how many shells the friend has? (a) 5k (b) k ÷ 5 (c) k + 5 (d) k − 5
23. 23.Find the value of 7t − 1 when t = 3.
24. 24.Solve: x − 8 = 6. What is x?
25. 25.Find the value of 2a + 3b when a = 8 and b = 5.
26. 26.Solve: n + 2 = 14. What is n?
27. 27.Find the value of 5x + 19 when x = 10.
28. 28.Vivaan has p pencils. A friend has 2 times as many. Which expression shows how many pencils the friend has? (a) p ÷ 2 (b) p − 2 (c) 2p (d) p + 2
29. 29.Find the value of 3y + 12 when y = 8.
30. 30.Solve: x − 5 = 4. What is x?
31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
32. 32.Find the value of 8y + 5 when y = 7.
33. 33.Solve: x ÷ 8 = 1. What is x?
34. 34.Solve: 10t = 80. What is t?
35. 35.Solve: 11y = 121. What is y?
36. 36.Aditya has n mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) n ÷ 3 (b) 3n (c) n + 3 (d) n − 3
37. 37.Solve: x + 10 = 24. What is x?
38. 38.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
39. 39.Meera has n laddoos. A friend has 9 more. Which expression shows how many laddoos the friend has? (a) 9n (b) n − 9 (c) n + 9 (d) n ÷ 9
40. 40.Kabir shares m balloons equally among 7 friends. Which expression shows how many balloons each friend gets? (a) m ÷ 7 (b) m − 7 (c) m + 7 (d) 7m

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