Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 303 · 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 + 6b when a = 8 and b = 2.
2. 2.Find the value of 5t + 10 when t = 10.
3. 3.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 16 letters?
4. 4.Solve: x ÷ 2 = 5. What is x?
5. 5.Farhan has k marbles. A friend has 5 times as many. Which expression shows how many marbles the friend has? (a) k ÷ 5 (b) k + 5 (c) 5k (d) k − 5
6. 6.Find the value of 8a + 8b when a = 2 and b = 10.
7. 7.Solve: y ÷ 2 = 13. What is y?
8. 8.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
9. 9.Ananya has p laddoos. A friend has 3 more. Which expression shows how many laddoos the friend has? (a) p − 3 (b) p + 3 (c) p ÷ 3 (d) 3p
10. 10.Find the value of 8x + 12 when x = 1.
11. 11.Solve: x − 5 = 14. What is x?
12. 12.Find the value of 7y + 2 when y = 8.
13. 13.Farhan has n mangoes. A friend has 5 more. Which expression shows how many mangoes the friend has? (a) n ÷ 5 (b) n − 5 (c) n + 5 (d) 5n
14. 14.Kavya has n books. A friend has 3 times as many. Which expression shows how many books the friend has? (a) n ÷ 3 (b) n − 3 (c) n + 3 (d) 3n
15. 15.Find the value of 3y + 1 when y = 4.
16. 16.Rahul has m crayons. A friend has 3 times as many. Which expression shows how many crayons the friend has? (a) m ÷ 3 (b) m + 3 (c) 3m (d) m − 3
17. 17.Solve: y + 8 = 15. What is y?
18. 18.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
19. 19.Find the value of 4a + 5b when a = 1 and b = 3.
20. 20.Find the value of 3n − 15 when n = 10.
21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
22. 22.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
23. 23.Find the value of 3x + 19 when x = 4.
24. 24.Solve: y ÷ 12 = 9. What is y?
25. 25.Solve: m + 10 = 16. What is m?
26. 26.Arjun has k laddoos. A friend has 3 times as many. Which expression shows how many laddoos the friend has? (a) k + 3 (b) k ÷ 3 (c) k − 3 (d) 3k
27. 27.Ananya shares m books equally among 8 friends. Which expression shows how many books each friend gets? (a) m ÷ 8 (b) m − 8 (c) 8m (d) m + 8
28. 28.Find the value of 2t − 14 when t = 11.
29. 29.Solve: p + 10 = 22. What is p?
30. 30.Lakshmi has k mangoes. A friend has 5 times as many. Which expression shows how many mangoes the friend has? (a) k ÷ 5 (b) k − 5 (c) 5k (d) k + 5
31. 31.Find the value of 5y − 39 when y = 8.
32. 32.Ananya shares k books equally among 4 friends. Which expression shows how many books each friend gets? (a) k − 4 (b) 4k (c) k + 4 (d) k ÷ 4
33. 33.Solve: 3m = 12. What is m?
34. 34.Find the value of 8t − 5 when t = 1.
35. 35.Karan has n marbles. A friend has 2 more. Which expression shows how many marbles the friend has? (a) n + 2 (b) n ÷ 2 (c) 2n (d) n − 2
36. 36.Find the value of 6a + 5b when a = 5 and b = 4.
37. 37.Find the value of 5a + 3b when a = 1 and b = 1.
38. 38.Find the value of 6a + 9b when a = 7 and b = 1.
39. 39.Solve: 3m = 57. What is m?
40. 40.Riya shares p balloons equally among 4 friends. Which expression shows how many balloons each friend gets? (a) p − 4 (b) p + 4 (c) 4p (d) p ÷ 4

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