Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 300 · 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.Vivaan has k pencils. A friend has 3 more. Which expression shows how many pencils the friend has? (a) k + 3 (b) k ÷ 3 (c) 3k (d) k − 3
2. 2.Ishaan has n balloons. A friend has 8 fewer. Which expression shows how many balloons the friend has? (a) 8n (b) n + 8 (c) n ÷ 8 (d) n − 8
3. 3.Find the value of 4a + 2b when a = 4 and b = 7.
4. 4.Solve: t + 2 = 3. What is t?
5. 5.Find the value of 5p + 14 when p = 11.
6. 6.Solve: x − 9 = 4. What is x?
7. 7.Find the value of 9y + 10 when y = 10.
8. 8.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
9. 9.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
10. 10.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
11. 11.Solve: t − 8 = 17. What is t?
12. 12.Diya has k balloons. A friend has 9 fewer. Which expression shows how many balloons the friend has? (a) k ÷ 9 (b) 9k (c) k − 9 (d) k + 9
13. 13.Solve: x − 11 = 16. What is x?
14. 14.Find the value of 2n + 17 when n = 6.
15. 15.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
16. 16.Aarav has k balls. A friend has 5 more. Which expression shows how many balls the friend has? (a) k ÷ 5 (b) 5k (c) k − 5 (d) k + 5
17. 17.Pooja has m crayons. A friend has 8 times as many. Which expression shows how many crayons the friend has? (a) m + 8 (b) m − 8 (c) 8m (d) m ÷ 8
18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 11 letters?
19. 19.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
20. 20.Find the value of 4a + 8b when a = 2 and b = 9.
21. 21.Find the value of 4y + 18 when y = 12.
22. 22.Solve: m ÷ 9 = 4. What is m?
23. 23.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
24. 24.Find the value of 5a + 7b when a = 7 and b = 8.
25. 25.Find the value of 2a + 9b when a = 9 and b = 1.
26. 26.Find the value of 3p + 4 when p = 4.
27. 27.Solve: m ÷ 8 = 18. What is m?
28. 28.Karan shares k bananas equally among 5 friends. Which expression shows how many bananas each friend gets? (a) k + 5 (b) 5k (c) k − 5 (d) k ÷ 5
29. 29.Find the value of 2a + 5b when a = 2 and b = 2.
30. 30.Solve: 5m = 90. What is m?
31. 31.Find the value of 6p + 16 when p = 6.
32. 32.Solve: x − 8 = 8. What is x?
33. 33.Find the value of 4y + 6 when y = 3.
34. 34.Riya shares n flowers equally among 5 friends. Which expression shows how many flowers each friend gets? (a) n − 5 (b) 5n (c) n ÷ 5 (d) n + 5
35. 35.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
37. 37.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
38. 38.Find the value of 4p + 8 when p = 7.
39. 39.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
40. 40.Find the value of 6a + 5b when a = 6 and b = 2.

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