Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 205 · 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 8y − 19 when y = 6.
2. 2.Find the value of 4x + 17 when x = 6.
3. 3.Find the value of 7a + 5b when a = 6 and b = 2.
4. 4.Karan shares n marbles equally among 3 friends. Which expression shows how many marbles each friend gets? (a) 3n (b) n − 3 (c) n ÷ 3 (d) n + 3
5. 5.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
6. 6.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
7. 7.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
8. 8.Zoya shares n shells equally among 7 friends. Which expression shows how many shells each friend gets? (a) n + 7 (b) n − 7 (c) 7n (d) n ÷ 7
9. 9.Find the value of 7a + 8b when a = 9 and b = 5.
10. 10.Find the value of 4a + 4b when a = 10 and b = 6.
11. 11.Find the value of 9y + 14 when y = 5.
12. 12.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
13. 13.Find the value of 9a + 3b when a = 6 and b = 8.
14. 14.Aditya has k flowers. A friend has 3 times as many. Which expression shows how many flowers the friend has? (a) 3k (b) k ÷ 3 (c) k + 3 (d) k − 3
15. 15.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
16. 16.Diya has k mangoes. A friend has 8 more. Which expression shows how many mangoes the friend has? (a) k − 8 (b) k + 8 (c) k ÷ 8 (d) 8k
17. 17.Saanvi has m marbles. A friend has 8 fewer. Which expression shows how many marbles the friend has? (a) m + 8 (b) 8m (c) m ÷ 8 (d) m − 8
18. 18.Find the value of 5y − 6 when y = 11.
19. 19.Solve: 7m = 7. What is m?
20. 20.Ananya has m balls. A friend has 8 times as many. Which expression shows how many balls the friend has? (a) m − 8 (b) 8m (c) m + 8 (d) m ÷ 8
21. 21.Find the value of 8p − 4 when p = 1.
22. 22.Find the value of 5p − 1 when p = 2.
23. 23.Find the value of 3p − 2 when p = 4.
24. 24.Solve: y + 6 = 26. What is y?
25. 25.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
26. 26.Manav has p kites. A friend has 3 times as many. Which expression shows how many kites the friend has? (a) p − 3 (b) p ÷ 3 (c) p + 3 (d) 3p
27. 27.Find the value of 6x + 1 when x = 2.
28. 28.Find the value of 6m − 8 when m = 5.
29. 29.Find the value of 2a + 3b when a = 1 and b = 4.
30. 30.Find the value of 7p + 4 when p = 5.
31. 31.Gurpreet has p balloons. A friend has 8 more. Which expression shows how many balloons the friend has? (a) p ÷ 8 (b) 8p (c) p + 8 (d) p − 8
32. 32.Solve: 2p = 32. What is p?
33. 33.Find the value of 5p + 4 when p = 7.
34. 34.Find the value of 3y − 1 when y = 1.
35. 35.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
36. 36.Solve: 5p = 35. What is p?
37. 37.Pooja has p crayons. A friend has 4 more. Which expression shows how many crayons the friend has? (a) p ÷ 4 (b) 4p (c) p − 4 (d) p + 4
38. 38.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
39. 39.Find the value of 2n + 2 when n = 10.
40. 40.Zoya has k balloons. A friend has 2 times as many. Which expression shows how many balloons the friend has? (a) k ÷ 2 (b) 2k (c) k − 2 (d) k + 2

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