Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 528 · 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.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
2. 2.Find the value of 7a + 5b when a = 5 and b = 6.
3. 3.Saanvi has n crayons. A friend has 7 fewer. Which expression shows how many crayons the friend has? (a) n ÷ 7 (b) n + 7 (c) n − 7 (d) 7n
4. 4.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
5. 5.Find the value of 5x + 2 when x = 12.
6. 6.Find the value of 4y + 12 when y = 5.
7. 7.Find the value of 2y − 16 when y = 12.
8. 8.Find the value of 5t + 11 when t = 4.
9. 9.Kabir has n mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) n + 2 (b) n ÷ 2 (c) n − 2 (d) 2n
10. 10.Solve: y ÷ 11 = 3. What is y?
11. 11.Solve: y + 12 = 19. What is y?
12. 12.Solve: p ÷ 12 = 16. What is p?
13. 13.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
14. 14.Find the value of 4t − 3 when t = 1.
15. 15.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
16. 16.Find the value of 4p − 38 when p = 11.
17. 17.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
18. 18.Find the value of 4n − 2 when n = 10.
19. 19.Solve: y + 6 = 11. What is y?
20. 20.Find the value of 2x + 18 when x = 6.
21. 21.Find the value of 3a + 7b when a = 4 and b = 1.
22. 22.Find the value of 6a + 3b when a = 2 and b = 4.
23. 23.Vivaan has n books. A friend has 6 times as many. Which expression shows how many books the friend has? (a) n − 6 (b) 6n (c) n + 6 (d) n ÷ 6
24. 24.Tara has p marbles. A friend has 3 fewer. Which expression shows how many marbles the friend has? (a) p + 3 (b) 3p (c) p − 3 (d) p ÷ 3
25. 25.Find the value of 3y − 13 when y = 7.
26. 26.Find the value of 5m + 17 when m = 1.
27. 27.Dev has p crayons. A friend has 8 more. Which expression shows how many crayons the friend has? (a) 8p (b) p − 8 (c) p + 8 (d) p ÷ 8
28. 28.Find the value of 6p − 22 when p = 12.
29. 29.Find the value of 7a + 6b when a = 2 and b = 4.
30. 30.Solve: x − 4 = 5. What is x?
31. 31.Find the value of 7t + 1 when t = 8.
32. 32.Priya has n shells. A friend has 5 times as many. Which expression shows how many shells the friend has? (a) n ÷ 5 (b) 5n (c) n − 5 (d) n + 5
33. 33.Find the value of 8t + 8 when t = 4.
34. 34.Find the value of 2a + 9b when a = 1 and b = 9.
35. 35.Pooja has m shells. A friend has 4 fewer. Which expression shows how many shells the friend has? (a) 4m (b) m + 4 (c) m ÷ 4 (d) m − 4
36. 36.Find the value of 8a + 9b when a = 2 and b = 4.
37. 37.Find the value of 4t − 18 when t = 7.
38. 38.Sneha has n shells. A friend has 7 times as many. Which expression shows how many shells the friend has? (a) n + 7 (b) n ÷ 7 (c) 7n (d) n − 7
39. 39.Saanvi has k books. A friend has 4 more. Which expression shows how many books the friend has? (a) 4k (b) k + 4 (c) k ÷ 4 (d) k − 4
40. 40.Find the value of 9a + 9b when a = 9 and b = 2.

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