Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 134 · 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 9a + 6b when a = 10 and b = 10.
2. 2.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
3. 3.Solve: t + 7 = 21. What is t?
4. 4.Joseph has k laddoos. A friend has 9 more. Which expression shows how many laddoos the friend has? (a) k − 9 (b) 9k (c) k ÷ 9 (d) k + 9
5. 5.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
6. 6.Find the value of 8a + 5b when a = 10 and b = 5.
7. 7.Find the value of 6y − 24 when y = 11.
8. 8.Find the value of 6a + 7b when a = 2 and b = 2.
9. 9.Find the value of 4a + 4b when a = 9 and b = 8.
10. 10.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
11. 11.Find the value of 5n − 1 when n = 9.
12. 12.Find the value of 8m − 1 when m = 4.
13. 13.Find the value of 6a + 9b when a = 2 and b = 9.
14. 14.Gurpreet has k pencils. A friend has 8 more. Which expression shows how many pencils the friend has? (a) 8k (b) k + 8 (c) k ÷ 8 (d) k − 8
15. 15.Solve: m + 7 = 17. What is m?
16. 16.Rahul has n laddoos. A friend has 3 fewer. Which expression shows how many laddoos the friend has? (a) n + 3 (b) n ÷ 3 (c) n − 3 (d) 3n
17. 17.Find the value of 4n − 7 when n = 10.
18. 18.Find the value of 4m + 14 when m = 10.
19. 19.Isha shares n laddoos equally among 4 friends. Which expression shows how many laddoos each friend gets? (a) 4n (b) n + 4 (c) n ÷ 4 (d) n − 4
20. 20.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
21. 21.Solve: p − 12 = 6. What is p?
22. 22.Vivaan shares k mangoes equally among 6 friends. Which expression shows how many mangoes each friend gets? (a) k + 6 (b) k − 6 (c) k ÷ 6 (d) 6k
23. 23.Find the value of 8a + 4b when a = 1 and b = 1.
24. 24.Solve: 12m = 240. What is m?
25. 25.Solve: m − 10 = 1. What is m?
26. 26.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
27. 27.Find the value of 8a + 6b when a = 7 and b = 1.
28. 28.Find the value of 5y + 12 when y = 3.
29. 29.Solve: y ÷ 12 = 10. What is y?
30. 30.Find the value of 6a + 9b when a = 3 and b = 1.
31. 31.Arjun has k balloons. A friend has 5 times as many. Which expression shows how many balloons the friend has? (a) 5k (b) k − 5 (c) k ÷ 5 (d) k + 5
32. 32.Solve: 2x = 8. What is x?
33. 33.Find the value of 3x − 7 when x = 6.
34. 34.Solve: t ÷ 3 = 14. What is t?
35. 35.Find the value of 4n − 8 when n = 5.
36. 36.Find the value of 4p + 18 when p = 9.
37. 37.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
38. 38.Solve: x − 10 = 4. What is x?
39. 39.Find the value of 7n − 32 when n = 10.
40. 40.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?

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