Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 627 · 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.Solve: t + 11 = 27. What is t?
2. 2.Zoya has m bananas. A friend has 4 fewer. Which expression shows how many bananas the friend has? (a) m − 4 (b) 4m (c) m ÷ 4 (d) m + 4
3. 3.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
4. 4.Find the value of 2a + 6b when a = 1 and b = 3.
5. 5.Find the value of 9t − 2 when t = 1.
6. 6.Find the value of 9a + 8b when a = 7 and b = 5.
7. 7.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
8. 8.Solve: 9x = 153. What is x?
9. 9.Gurpreet has n marbles. A friend has 9 times as many. Which expression shows how many marbles the friend has? (a) n ÷ 9 (b) n − 9 (c) 9n (d) n + 9
10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
11. 11.Solve: n ÷ 4 = 18. What is n?
12. 12.Ishaan shares n bananas equally among 6 friends. Which expression shows how many bananas each friend gets? (a) n ÷ 6 (b) n − 6 (c) 6n (d) n + 6
13. 13.Ananya has m bananas. A friend has 5 more. Which expression shows how many bananas the friend has? (a) m ÷ 5 (b) 5m (c) m + 5 (d) m − 5
14. 14.Find the value of 6n − 8 when n = 2.
15. 15.Find the value of 2x − 1 when x = 1.
16. 16.Solve: y ÷ 2 = 15. What is y?
17. 17.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
18. 18.Find the value of 3a + 7b when a = 8 and b = 3.
19. 19.Find the value of 9a + 6b when a = 4 and b = 9.
20. 20.Find the value of 8x − 75 when x = 11.
21. 21.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 14 letters?
22. 22.Find the value of 5a + 8b when a = 1 and b = 7.
23. 23.Aditya shares k shells equally among 7 friends. Which expression shows how many shells each friend gets? (a) k ÷ 7 (b) 7k (c) k − 7 (d) k + 7
24. 24.Gurpreet has k books. A friend has 5 more. Which expression shows how many books the friend has? (a) k + 5 (b) 5k (c) k − 5 (d) k ÷ 5
25. 25.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
26. 26.Find the value of 6a + 8b when a = 8 and b = 10.
27. 27.Kabir has m balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) 3m (b) m ÷ 3 (c) m + 3 (d) m − 3
28. 28.Find the value of 6y + 17 when y = 2.
29. 29.Find the value of 3a + 2b when a = 7 and b = 1.
30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
31. 31.Find the value of 3a + 2b when a = 9 and b = 1.
32. 32.Find the value of 5a + 3b when a = 2 and b = 10.
33. 33.Find the value of 4a + 3b when a = 6 and b = 6.
34. 34.Find the value of 8a + 4b when a = 10 and b = 1.
35. 35.Aarav has m balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) 3m (b) m ÷ 3 (c) m + 3 (d) m − 3
36. 36.Find the value of 4a + 2b when a = 4 and b = 2.
37. 37.Karan has k balloons. A friend has 4 more. Which expression shows how many balloons the friend has? (a) k + 4 (b) k ÷ 4 (c) 4k (d) k − 4
38. 38.Vivaan has m mangoes. A friend has 7 fewer. Which expression shows how many mangoes the friend has? (a) 7m (b) m − 7 (c) m ÷ 7 (d) m + 7
39. 39.Solve: 8m = 128. What is m?
40. 40.Find the value of 9y + 15 when y = 9.

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