Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 499 · 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 8a + 8b when a = 1 and b = 10.
2. 2.Solve: y + 10 = 20. What is y?
3. 3.Solve: 2m = 36. What is m?
4. 4.Solve: 8m = 24. What is m?
5. 5.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 25 letters?
6. 6.Riya has p shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) p − 3 (b) 3p (c) p + 3 (d) p ÷ 3
7. 7.Find the value of 3p + 8 when p = 10.
8. 8.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
9. 9.Find the value of 9a + 6b when a = 4 and b = 10.
10. 10.Solve: y + 7 = 21. What is y?
11. 11.Find the value of 7y + 7 when y = 10.
12. 12.Rohan shares k bananas equally among 8 friends. Which expression shows how many bananas each friend gets? (a) k + 8 (b) k ÷ 8 (c) 8k (d) k − 8
13. 13.Find the value of 5a + 3b when a = 3 and b = 4.
14. 14.Solve: t − 3 = 20. What is t?
15. 15.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
16. 16.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
17. 17.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
18. 18.Sneha has k balloons. A friend has 2 fewer. Which expression shows how many balloons the friend has? (a) k + 2 (b) 2k (c) k ÷ 2 (d) k − 2
19. 19.Solve: t + 3 = 16. What is t?
20. 20.Solve: y + 2 = 5. What is y?
21. 21.Arjun has k pencils. A friend has 5 times as many. Which expression shows how many pencils the friend has? (a) k ÷ 5 (b) 5k (c) k − 5 (d) k + 5
22. 22.Find the value of 6x + 20 when x = 4.
23. 23.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
24. 24.Sneha has p crayons. A friend has 4 more. Which expression shows how many crayons the friend has? (a) p − 4 (b) p ÷ 4 (c) 4p (d) p + 4
25. 25.Find the value of 2x − 13 when x = 9.
26. 26.Find the value of 9m − 31 when m = 11.
27. 27.Solve: t + 6 = 8. What is t?
28. 28.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
29. 29.Tara 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
30. 30.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
31. 31.Find the value of 6y + 11 when y = 5.
32. 32.Find the value of 6a + 2b when a = 5 and b = 7.
33. 33.Dev has k marbles. A friend has 8 more. Which expression shows how many marbles the friend has? (a) 8k (b) k + 8 (c) k ÷ 8 (d) k − 8
34. 34.Solve: x + 9 = 25. What is x?
35. 35.Solve: x ÷ 11 = 9. What is x?
36. 36.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
37. 37.Solve: p − 11 = 11. What is p?
38. 38.Find the value of 4m − 4 when m = 7.
39. 39.Find the value of 8a + 9b when a = 6 and b = 9.
40. 40.Find the value of 3p + 3 when p = 4.

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets