Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 603 · 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: x − 5 = 15. What is x?
2. 2.Find the value of 4t − 1 when t = 7.
3. 3.Ishaan has k marbles. A friend has 5 times as many. Which expression shows how many marbles the friend has? (a) k ÷ 5 (b) k + 5 (c) 5k (d) k − 5
4. 4.Find the value of 7t + 15 when t = 3.
5. 5.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
6. 6.Solve: 11x = 55. What is x?
7. 7.Kavya has m bananas. A friend has 5 fewer. Which expression shows how many bananas the friend has? (a) m − 5 (b) m ÷ 5 (c) m + 5 (d) 5m
8. 8.Find the value of 8a + 3b when a = 7 and b = 4.
9. 9.Find the value of 3m + 11 when m = 4.
10. 10.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
11. 11.Aarav shares k pencils equally among 4 friends. Which expression shows how many pencils each friend gets? (a) 4k (b) k + 4 (c) k − 4 (d) k ÷ 4
12. 12.Find the value of 3a + 9b when a = 1 and b = 1.
13. 13.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
15. 15.Solve: x + 5 = 22. What is x?
16. 16.Solve: 6p = 18. What is p?
17. 17.Solve: 3p = 39. What is p?
18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 17 letters?
19. 19.Find the value of 3a + 5b when a = 1 and b = 1.
20. 20.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
21. 21.Find the value of 3a + 2b when a = 1 and b = 7.
22. 22.Find the value of 5m − 8 when m = 3.
23. 23.Find the value of 5a + 6b when a = 5 and b = 9.
24. 24.Gurpreet shares m flowers equally among 8 friends. Which expression shows how many flowers each friend gets? (a) m ÷ 8 (b) m + 8 (c) 8m (d) m − 8
25. 25.Arjun has p laddoos. A friend has 7 more. Which expression shows how many laddoos the friend has? (a) p − 7 (b) p + 7 (c) 7p (d) p ÷ 7
26. 26.Diya has m balloons. A friend has 8 times as many. Which expression shows how many balloons the friend has? (a) m ÷ 8 (b) m − 8 (c) 8m (d) m + 8
27. 27.Find the value of 9a + 5b when a = 4 and b = 9.
28. 28.Find the value of 7y − 40 when y = 11.
29. 29.Solve: x − 3 = 2. What is x?
30. 30.Solve: 3y = 60. What is y?
31. 31.Dev has n kites. A friend has 8 more. Which expression shows how many kites the friend has? (a) n + 8 (b) 8n (c) n − 8 (d) n ÷ 8
32. 32.Kavya has m marbles. A friend has 4 fewer. Which expression shows how many marbles the friend has? (a) m + 4 (b) m − 4 (c) 4m (d) m ÷ 4
33. 33.Solve: x + 11 = 16. What is x?
34. 34.Find the value of 8m − 27 when m = 4.
35. 35.Find the value of 4p + 8 when p = 6.
36. 36.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
37. 37.Find the value of 7t + 20 when t = 2.
38. 38.Find the value of 6a + 9b when a = 2 and b = 6.
39. 39.Solve: m − 5 = 9. What is m?
40. 40.Find the value of 9m − 43 when m = 6.

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