Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 308 · 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.Gurpreet has p marbles. A friend has 2 fewer. Which expression shows how many marbles the friend has? (a) p ÷ 2 (b) p + 2 (c) 2p (d) p − 2
2. 2.Find the value of 4y − 7 when y = 11.
3. 3.Priya has n flowers. A friend has 5 times as many. Which expression shows how many flowers the friend has? (a) n − 5 (b) n ÷ 5 (c) n + 5 (d) 5n
4. 4.Solve: x ÷ 6 = 2. What is x?
5. 5.Find the value of 9p − 5 when p = 2.
6. 6.Find the value of 8a + 9b when a = 3 and b = 10.
7. 7.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
8. 8.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
9. 9.Diya has m bananas. A friend has 9 times as many. Which expression shows how many bananas the friend has? (a) m ÷ 9 (b) 9m (c) m − 9 (d) m + 9
10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
11. 11.Find the value of 9x − 7 when x = 4.
12. 12.Find the value of 3x − 2 when x = 1.
13. 13.Find the value of 8m + 14 when m = 10.
14. 14.Solve: n + 4 = 20. What is n?
15. 15.Solve: m − 4 = 19. What is m?
16. 16.Find the value of 8y + 20 when y = 1.
17. 17.Solve: m + 5 = 16. What is m?
18. 18.Solve: t − 11 = 16. What is t?
19. 19.Solve: t + 9 = 10. What is t?
20. 20.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
21. 21.Solve: x + 12 = 29. What is x?
22. 22.Meera has n balloons. A friend has 4 more. Which expression shows how many balloons the friend has? (a) n − 4 (b) n ÷ 4 (c) 4n (d) n + 4
23. 23.Lakshmi has k bananas. A friend has 8 times as many. Which expression shows how many bananas the friend has? (a) 8k (b) k + 8 (c) k − 8 (d) k ÷ 8
24. 24.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
25. 25.Find the value of 9a + 2b when a = 5 and b = 2.
26. 26.Find the value of 7m − 19 when m = 5.
27. 27.Solve: p − 3 = 7. What is p?
28. 28.Solve: m + 3 = 23. What is m?
29. 29.Kavya has k mangoes. A friend has 9 more. Which expression shows how many mangoes the friend has? (a) k − 9 (b) 9k (c) k + 9 (d) k ÷ 9
30. 30.Zoya has n balls. A friend has 2 times as many. Which expression shows how many balls the friend has? (a) n + 2 (b) 2n (c) n ÷ 2 (d) n − 2
31. 31.Find the value of 4a + 9b when a = 2 and b = 5.
32. 32.Find the value of 6a + 4b when a = 10 and b = 9.
33. 33.Find the value of 5y − 1 when y = 3.
34. 34.Find the value of 9a + 5b when a = 3 and b = 9.
35. 35.Ananya has k balls. A friend has 3 more. Which expression shows how many balls the friend has? (a) k + 3 (b) k − 3 (c) 3k (d) k ÷ 3
36. 36.Saanvi has p books. A friend has 8 more. Which expression shows how many books the friend has? (a) 8p (b) p ÷ 8 (c) p − 8 (d) p + 8
37. 37.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
38. 38.Saanvi has m mangoes. A friend has 6 fewer. Which expression shows how many mangoes the friend has? (a) 6m (b) m + 6 (c) m − 6 (d) m ÷ 6
39. 39.Find the value of 4n + 16 when n = 9.
40. 40.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?

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