Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 26 · 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.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
2. 2.Find the value of 4m + 18 when m = 3.
3. 3.Solve: t ÷ 11 = 16. What is t?
4. 4.Rahul has m shells. A friend has 3 times as many. Which expression shows how many shells the friend has? (a) m ÷ 3 (b) 3m (c) m + 3 (d) m − 3
5. 5.Find the value of 3y + 18 when y = 7.
6. 6.Ananya has n kites. A friend has 4 more. Which expression shows how many kites the friend has? (a) n ÷ 4 (b) n + 4 (c) 4n (d) n − 4
7. 7.Find the value of 5m − 27 when m = 10.
8. 8.Aditya shares n kites equally among 7 friends. Which expression shows how many kites each friend gets? (a) 7n (b) n − 7 (c) n + 7 (d) n ÷ 7
9. 9.Find the value of 5t − 5 when t = 6.
10. 10.Find the value of 8a + 8b when a = 7 and b = 8.
11. 11.Find the value of 9a + 3b when a = 10 and b = 5.
12. 12.Solve: p − 3 = 10. What is p?
13. 13.Kavya shares n flowers equally among 6 friends. Which expression shows how many flowers each friend gets? (a) n ÷ 6 (b) n − 6 (c) 6n (d) n + 6
14. 14.Dev has k bananas. A friend has 3 fewer. Which expression shows how many bananas the friend has? (a) k + 3 (b) 3k (c) k − 3 (d) k ÷ 3
15. 15.Find the value of 6a + 3b when a = 8 and b = 10.
16. 16.Find the value of 6a + 3b when a = 5 and b = 3.
17. 17.Solve: x − 2 = 7. What is x?
18. 18.Find the value of 3t + 9 when t = 3.
19. 19.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
20. 20.Gurpreet shares m kites equally among 3 friends. Which expression shows how many kites each friend gets? (a) m + 3 (b) 3m (c) m ÷ 3 (d) m − 3
21. 21.Diya has n marbles. A friend has 5 times as many. Which expression shows how many marbles the friend has? (a) n ÷ 5 (b) n + 5 (c) 5n (d) n − 5
22. 22.Find the value of 4a + 8b when a = 8 and b = 6.
23. 23.Solve: x + 10 = 23. What is x?
24. 24.Solve: m ÷ 2 = 17. What is m?
25. 25.Saanvi has p balls. A friend has 8 more. Which expression shows how many balls the friend has? (a) p + 8 (b) 8p (c) p ÷ 8 (d) p − 8
26. 26.Farhan has p mangoes. A friend has 7 fewer. Which expression shows how many mangoes the friend has? (a) p ÷ 7 (b) 7p (c) p + 7 (d) p − 7
27. 27.Solve: n + 3 = 10. What is n?
28. 28.Solve: 3y = 36. What is y?
29. 29.Find the value of 8a + 6b when a = 9 and b = 2.
30. 30.Sneha shares p bananas equally among 9 friends. Which expression shows how many bananas each friend gets? (a) 9p (b) p + 9 (c) p ÷ 9 (d) p − 9
31. 31.Find the value of 7y − 14 when y = 7.
32. 32.Solve: 6n = 96. What is n?
33. 33.Priya has p laddoos. A friend has 6 more. Which expression shows how many laddoos the friend has? (a) p ÷ 6 (b) p + 6 (c) 6p (d) p − 6
34. 34.Find the value of 6x − 11 when x = 8.
35. 35.Solve: 7p = 112. What is p?
36. 36.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
37. 37.Find the value of 6a + 9b when a = 9 and b = 1.
38. 38.Find the value of 9a + 2b when a = 1 and b = 9.
39. 39.Solve: y + 8 = 28. What is y?
40. 40.Meera has k balloons. A friend has 5 fewer. Which expression shows how many balloons the friend has? (a) 5k (b) k − 5 (c) k + 5 (d) k ÷ 5

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