Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 320 · 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 3p + 5 when p = 2.
2. 2.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
3. 3.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
4. 4.Solve: 7n = 98. What is n?
5. 5.Solve: n ÷ 7 = 19. What is n?
6. 6.Lakshmi has n laddoos. A friend has 8 more. Which expression shows how many laddoos the friend has? (a) n ÷ 8 (b) n − 8 (c) 8n (d) n + 8
7. 7.Kabir has k balls. A friend has 9 times as many. Which expression shows how many balls the friend has? (a) k − 9 (b) k ÷ 9 (c) k + 9 (d) 9k
8. 8.Solve: x ÷ 2 = 7. What is x?
9. 9.Find the value of 2x + 5 when x = 5.
10. 10.Solve: p + 12 = 27. What is p?
11. 11.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
12. 12.Rohan has p marbles. A friend has 3 fewer. Which expression shows how many marbles the friend has? (a) p + 3 (b) p ÷ 3 (c) 3p (d) p − 3
13. 13.Gurpreet shares n pencils equally among 5 friends. Which expression shows how many pencils each friend gets? (a) 5n (b) n ÷ 5 (c) n − 5 (d) n + 5
14. 14.Find the value of 2a + 2b when a = 5 and b = 4.
15. 15.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
16. 16.Find the value of 5a + 4b when a = 2 and b = 7.
17. 17.Find the value of 7n + 9 when n = 9.
18. 18.Isha shares k mangoes equally among 9 friends. Which expression shows how many mangoes each friend gets? (a) k − 9 (b) 9k (c) k + 9 (d) k ÷ 9
19. 19.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
20. 20.Find the value of 9x − 25 when x = 3.
21. 21.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
22. 22.Find the value of 6a + 5b when a = 1 and b = 5.
23. 23.Solve: y − 12 = 4. What is y?
24. 24.Find the value of 6a + 2b when a = 3 and b = 2.
25. 25.Find the value of 5p + 13 when p = 1.
26. 26.Find the value of 8a + 8b when a = 9 and b = 4.
27. 27.Solve: 6y = 78. What is y?
28. 28.Solve: 9x = 162. What is x?
29. 29.Solve: m ÷ 8 = 18. What is m?
30. 30.Find the value of 9n + 2 when n = 7.
31. 31.Find the value of 6x + 6 when x = 1.
32. 32.Solve: n + 10 = 16. What is n?
33. 33.Find the value of 4a + 6b when a = 2 and b = 1.
34. 34.Find the value of 3n + 11 when n = 10.
35. 35.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
36. 36.Solve: m ÷ 7 = 10. What is m?
37. 37.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
38. 38.Ananya has m laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) m ÷ 2 (b) m + 2 (c) 2m (d) m − 2
39. 39.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
40. 40.Meera shares k flowers equally among 6 friends. Which expression shows how many flowers each friend gets? (a) 6k (b) k − 6 (c) k ÷ 6 (d) k + 6

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