Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 370 · 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 E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 21 letters?
2. 2.Find the value of 2a + 8b when a = 1 and b = 3.
3. 3.Pooja has m flowers. A friend has 8 times as many. Which expression shows how many flowers the friend has? (a) 8m (b) m + 8 (c) m ÷ 8 (d) m − 8
4. 4.Solve: 8t = 24. What is t?
5. 5.Solve: y − 5 = 17. What is y?
6. 6.Find the value of 5a + 7b when a = 8 and b = 3.
7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
8. 8.Find the value of 9p − 7 when p = 7.
9. 9.Aarav has m kites. A friend has 3 fewer. Which expression shows how many kites the friend has? (a) m ÷ 3 (b) m + 3 (c) 3m (d) m − 3
10. 10.Solve: n + 2 = 18. What is n?
11. 11.Rahul has m marbles. A friend has 9 more. Which expression shows how many marbles the friend has? (a) m + 9 (b) 9m (c) m − 9 (d) m ÷ 9
12. 12.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
13. 13.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
14. 14.Find the value of 8p + 16 when p = 6.
15. 15.Solve: n + 7 = 13. What is n?
16. 16.Find the value of 3a + 7b when a = 5 and b = 5.
17. 17.Find the value of 9x − 18 when x = 7.
18. 18.Find the value of 9a + 3b when a = 8 and b = 1.
19. 19.Find the value of 7x + 7 when x = 3.
20. 20.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
21. 21.Solve: x ÷ 4 = 9. What is x?
22. 22.Find the value of 8a + 3b when a = 4 and b = 5.
23. 23.Manav has k kites. A friend has 9 times as many. Which expression shows how many kites the friend has? (a) k − 9 (b) k ÷ 9 (c) k + 9 (d) 9k
24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
26. 26.Find the value of 2a + 6b when a = 10 and b = 6.
27. 27.Solve: 9m = 18. What is m?
28. 28.Pooja shares k laddoos equally among 5 friends. Which expression shows how many laddoos each friend gets? (a) k + 5 (b) k − 5 (c) k ÷ 5 (d) 5k
29. 29.Find the value of 8a + 4b when a = 8 and b = 4.
30. 30.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
31. 31.Find the value of 7p − 6 when p = 12.
32. 32.Saanvi has k laddoos. A friend has 7 fewer. Which expression shows how many laddoos the friend has? (a) 7k (b) k ÷ 7 (c) k − 7 (d) k + 7
33. 33.Solve: 3t = 36. What is t?
34. 34.Kavya has m laddoos. A friend has 8 more. Which expression shows how many laddoos the friend has? (a) m − 8 (b) m ÷ 8 (c) 8m (d) m + 8
35. 35.Farhan shares k crayons equally among 4 friends. Which expression shows how many crayons each friend gets? (a) k − 4 (b) 4k (c) k ÷ 4 (d) k + 4
36. 36.Find the value of 8x + 5 when x = 3.
37. 37.Find the value of 8y − 58 when y = 10.
38. 38.Find the value of 7p + 11 when p = 1.
39. 39.Find the value of 8p + 18 when p = 5.
40. 40.Find the value of 8t + 1 when t = 2.

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