Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 154 · 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.Rahul has k crayons. A friend has 7 fewer. Which expression shows how many crayons the friend has? (a) 7k (b) k − 7 (c) k ÷ 7 (d) k + 7
2. 2.Find the value of 5a + 4b when a = 5 and b = 4.
3. 3.Manav has n balls. A friend has 3 more. Which expression shows how many balls the friend has? (a) n − 3 (b) n + 3 (c) n ÷ 3 (d) 3n
4. 4.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
5. 5.Find the value of 9x + 6 when x = 11.
6. 6.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
7. 7.Find the value of 3y − 9 when y = 7.
8. 8.Solve: x − 2 = 2. What is x?
9. 9.Rahul shares m bananas equally among 8 friends. Which expression shows how many bananas each friend gets? (a) m + 8 (b) 8m (c) m ÷ 8 (d) m − 8
10. 10.Find the value of 4a + 6b when a = 3 and b = 5.
11. 11.Find the value of 2t − 5 when t = 3.
12. 12.Find the value of 8t + 4 when t = 9.
13. 13.Find the value of 2t + 2 when t = 3.
14. 14.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
15. 15.Find the value of 5x + 12 when x = 2.
16. 16.Find the value of 7a + 4b when a = 5 and b = 1.
17. 17.Solve: m + 4 = 9. What is m?
18. 18.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
19. 19.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 18 letters?
20. 20.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
21. 21.Solve: 8x = 152. What is x?
22. 22.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
23. 23.Solve: 11p = 209. What is p?
24. 24.Gurpreet has p shells. A friend has 6 times as many. Which expression shows how many shells the friend has? (a) p ÷ 6 (b) p − 6 (c) 6p (d) p + 6
25. 25.Find the value of 3t − 9 when t = 5.
26. 26.Find the value of 2a + 9b when a = 3 and b = 1.
27. 27.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
28. 28.Rahul has n shells. A friend has 9 fewer. Which expression shows how many shells the friend has? (a) n + 9 (b) 9n (c) n − 9 (d) n ÷ 9
29. 29.Find the value of 7t − 5 when t = 9.
30. 30.Solve: p ÷ 12 = 13. What is p?
31. 31.Solve: 2n = 38. What is n?
32. 32.Find the value of 3a + 2b when a = 4 and b = 5.
33. 33.Priya has n balls. A friend has 6 times as many. Which expression shows how many balls the friend has? (a) n − 6 (b) n ÷ 6 (c) n + 6 (d) 6n
34. 34.Find the value of 5t − 12 when t = 10.
35. 35.Solve: x ÷ 7 = 8. What is x?
36. 36.Find the value of 6a + 4b when a = 7 and b = 2.
37. 37.Find the value of 6y + 6 when y = 7.
38. 38.Zoya has p balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) p + 5 (b) 5p (c) p ÷ 5 (d) p − 5
39. 39.Solve: t − 4 = 14. What is t?
40. 40.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?

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