Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 354 · 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 15 letters?
2. 2.Solve: t ÷ 12 = 1. What is t?
3. 3.Solve: n + 12 = 25. What is n?
4. 4.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
5. 5.Aarav shares m marbles equally among 8 friends. Which expression shows how many marbles each friend gets? (a) m + 8 (b) 8m (c) m − 8 (d) m ÷ 8
6. 6.Find the value of 6t + 8 when t = 10.
7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
8. 8.Priya shares p bananas equally among 6 friends. Which expression shows how many bananas each friend gets? (a) p − 6 (b) p ÷ 6 (c) 6p (d) p + 6
9. 9.Saanvi shares p bananas equally among 8 friends. Which expression shows how many bananas each friend gets? (a) p + 8 (b) p ÷ 8 (c) p − 8 (d) 8p
10. 10.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
11. 11.Diya has k shells. A friend has 4 times as many. Which expression shows how many shells the friend has? (a) k + 4 (b) k − 4 (c) 4k (d) k ÷ 4
12. 12.Find the value of 5n − 29 when n = 10.
13. 13.Find the value of 4a + 6b when a = 3 and b = 10.
14. 14.Find the value of 7y − 10 when y = 2.
15. 15.Find the value of 2y − 2 when y = 3.
16. 16.Solve: 2x = 28. What is x?
17. 17.Aarav has n balloons. A friend has 5 fewer. Which expression shows how many balloons the friend has? (a) n + 5 (b) n ÷ 5 (c) n − 5 (d) 5n
18. 18.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
19. 19.Find the value of 9n + 6 when n = 5.
20. 20.Find the value of 2m + 12 when m = 8.
21. 21.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
22. 22.Find the value of 4x + 19 when x = 1.
23. 23.Find the value of 5p − 5 when p = 8.
24. 24.Find the value of 9y − 34 when y = 4.
25. 25.Solve: t + 4 = 22. What is t?
26. 26.Zoya has p kites. A friend has 5 fewer. Which expression shows how many kites the friend has? (a) p ÷ 5 (b) p + 5 (c) p − 5 (d) 5p
27. 27.Find the value of 5a + 2b when a = 2 and b = 10.
28. 28.Solve: t ÷ 7 = 11. What is t?
29. 29.Find the value of 3a + 2b when a = 9 and b = 8.
30. 30.Joseph has p crayons. A friend has 2 more. Which expression shows how many crayons the friend has? (a) 2p (b) p ÷ 2 (c) p + 2 (d) p − 2
31. 31.Find the value of 9y + 12 when y = 6.
32. 32.Find the value of 6x − 1 when x = 3.
33. 33.Find the value of 2a + 5b when a = 8 and b = 10.
34. 34.Solve: n + 10 = 29. What is n?
35. 35.Solve: y + 7 = 10. What is y?
36. 36.Find the value of 8a + 6b when a = 2 and b = 6.
37. 37.Solve: m ÷ 3 = 11. What is m?
38. 38.Vivaan has p mangoes. A friend has 7 times as many. Which expression shows how many mangoes the friend has? (a) p − 7 (b) p ÷ 7 (c) 7p (d) p + 7
39. 39.Solve: n + 9 = 14. What is n?
40. 40.Diya has m mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) m ÷ 3 (b) 3m (c) m − 3 (d) m + 3

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