Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 617 · 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.Arjun has m laddoos. A friend has 3 more. Which expression shows how many laddoos the friend has? (a) m + 3 (b) m − 3 (c) 3m (d) m ÷ 3
2. 2.Find the value of 7x − 42 when x = 7.
3. 3.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 17 letters?
4. 4.Solve: n − 3 = 15. What is n?
5. 5.Solve: p − 4 = 9. What is p?
6. 6.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
7. 7.Vivaan has n laddoos. A friend has 4 times as many. Which expression shows how many laddoos the friend has? (a) n ÷ 4 (b) 4n (c) n − 4 (d) n + 4
8. 8.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
9. 9.Find the value of 5a + 9b when a = 10 and b = 2.
10. 10.Solve: x − 9 = 12. What is x?
11. 11.Sneha shares m shells equally among 7 friends. Which expression shows how many shells each friend gets? (a) m ÷ 7 (b) m − 7 (c) 7m (d) m + 7
12. 12.Solve: m ÷ 10 = 7. What is m?
13. 13.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
14. 14.Find the value of 8t + 8 when t = 2.
15. 15.Vivaan has k pencils. A friend has 4 fewer. Which expression shows how many pencils the friend has? (a) k + 4 (b) 4k (c) k − 4 (d) k ÷ 4
16. 16.Isha shares p pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) 7p (b) p − 7 (c) p ÷ 7 (d) p + 7
17. 17.Find the value of 9a + 5b when a = 9 and b = 6.
18. 18.Find the value of 2a + 3b when a = 7 and b = 5.
19. 19.Solve: m + 11 = 12. What is m?
20. 20.Solve: 9t = 99. What is t?
21. 21.Solve: 4p = 48. What is p?
22. 22.Ishaan has n mangoes. A friend has 4 times as many. Which expression shows how many mangoes the friend has? (a) n − 4 (b) n + 4 (c) 4n (d) n ÷ 4
23. 23.Find the value of 7a + 7b when a = 9 and b = 1.
24. 24.Solve: y ÷ 4 = 12. What is y?
25. 25.Solve: m + 3 = 4. What is m?
26. 26.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
27. 27.Karan has k laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) k − 2 (b) k ÷ 2 (c) 2k (d) k + 2
28. 28.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
29. 29.Find the value of 8m − 20 when m = 8.
30. 30.Find the value of 5a + 5b when a = 9 and b = 4.
31. 31.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
33. 33.Find the value of 4y + 11 when y = 12.
34. 34.Ananya has p pencils. A friend has 2 fewer. Which expression shows how many pencils the friend has? (a) p + 2 (b) p − 2 (c) 2p (d) p ÷ 2
35. 35.Farhan has m laddoos. A friend has 6 times as many. Which expression shows how many laddoos the friend has? (a) 6m (b) m − 6 (c) m + 6 (d) m ÷ 6
36. 36.Lakshmi has k pencils. A friend has 4 times as many. Which expression shows how many pencils the friend has? (a) k − 4 (b) k + 4 (c) k ÷ 4 (d) 4k
37. 37.Solve: n ÷ 6 = 20. What is n?
38. 38.Find the value of 5n + 20 when n = 3.
39. 39.Find the value of 8x − 22 when x = 12.
40. 40.Solve: 11y = 33. What is y?

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