Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 605 · 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.Joseph has n kites. A friend has 7 times as many. Which expression shows how many kites the friend has? (a) n ÷ 7 (b) 7n (c) n − 7 (d) n + 7
2. 2.Find the value of 2n − 1 when n = 1.
3. 3.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
4. 4.Aarav has k shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) k ÷ 3 (b) k + 3 (c) k − 3 (d) 3k
5. 5.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
6. 6.Find the value of 3a + 4b when a = 6 and b = 10.
7. 7.Find the value of 9a + 6b when a = 6 and b = 7.
8. 8.Pooja has p mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) 3p (b) p − 3 (c) p ÷ 3 (d) p + 3
9. 9.Find the value of 5x + 11 when x = 4.
10. 10.Solve: 11p = 110. What is p?
11. 11.Kabir has m flowers. A friend has 7 times as many. Which expression shows how many flowers the friend has? (a) m ÷ 7 (b) m + 7 (c) 7m (d) m − 7
12. 12.Solve: t ÷ 9 = 7. What is t?
13. 13.Find the value of 5a + 9b when a = 2 and b = 5.
14. 14.Find the value of 2y + 13 when y = 5.
15. 15.Meera shares k flowers equally among 8 friends. Which expression shows how many flowers each friend gets? (a) 8k (b) k ÷ 8 (c) k + 8 (d) k − 8
16. 16.Solve: x − 2 = 16. What is x?
17. 17.Find the value of 2x − 18 when x = 11.
18. 18.Solve: m + 7 = 14. What is m?
19. 19.Saanvi has k flowers. A friend has 8 more. Which expression shows how many flowers the friend has? (a) k − 8 (b) 8k (c) k ÷ 8 (d) k + 8
20. 20.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
21. 21.Solve: x − 7 = 14. What is x?
22. 22.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 18 letters?
23. 23.Find the value of 2n + 10 when n = 2.
24. 24.Rohan has m balls. A friend has 2 times as many. Which expression shows how many balls the friend has? (a) m ÷ 2 (b) 2m (c) m − 2 (d) m + 2
25. 25.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
26. 26.Find the value of 5t + 4 when t = 2.
27. 27.Find the value of 7x + 2 when x = 8.
28. 28.Find the value of 9a + 3b when a = 2 and b = 3.
29. 29.Farhan has n mangoes. A friend has 3 fewer. Which expression shows how many mangoes the friend has? (a) n + 3 (b) 3n (c) n − 3 (d) n ÷ 3
30. 30.Find the value of 4x − 3 when x = 2.
31. 31.Find the value of 4a + 8b when a = 5 and b = 7.
32. 32.Solve: t ÷ 7 = 12. What is t?
33. 33.Find the value of 7y + 3 when y = 9.
34. 34.Find the value of 4m + 11 when m = 11.
35. 35.Find the value of 4a + 2b when a = 8 and b = 3.
36. 36.Find the value of 5x + 16 when x = 12.
37. 37.Solve: y − 2 = 5. What is y?
38. 38.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 25 letters?
39. 39.Find the value of 5x − 45 when x = 12.
40. 40.Solve: m ÷ 8 = 18. What is m?

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