Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 107 · 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: y − 10 = 9. What is y?
2. 2.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
3. 3.Find the value of 7a + 8b when a = 2 and b = 3.
4. 4.Find the value of 8t + 2 when t = 7.
5. 5.Solve: y − 5 = 19. What is y?
6. 6.Find the value of 3y + 12 when y = 12.
7. 7.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
8. 8.Aditya has n kites. A friend has 2 more. Which expression shows how many kites the friend has? (a) 2n (b) n ÷ 2 (c) n − 2 (d) n + 2
9. 9.Isha shares k balls equally among 2 friends. Which expression shows how many balls each friend gets? (a) 2k (b) k ÷ 2 (c) k − 2 (d) k + 2
10. 10.Find the value of 9a + 4b when a = 2 and b = 10.
11. 11.Find the value of 5y − 19 when y = 9.
12. 12.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
13. 13.Find the value of 5a + 2b when a = 10 and b = 10.
14. 14.Find the value of 3x + 18 when x = 2.
15. 15.Gurpreet shares n flowers equally among 9 friends. Which expression shows how many flowers each friend gets? (a) n + 9 (b) n − 9 (c) 9n (d) n ÷ 9
16. 16.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
17. 17.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
18. 18.Find the value of 9x − 15 when x = 9.
19. 19.Find the value of 5a + 3b when a = 2 and b = 2.
20. 20.Kabir has m balloons. A friend has 6 more. Which expression shows how many balloons the friend has? (a) m + 6 (b) m − 6 (c) 6m (d) m ÷ 6
21. 21.Find the value of 7y − 12 when y = 6.
22. 22.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
23. 23.Solve: x − 6 = 8. What is x?
24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
25. 25.Find the value of 4t + 2 when t = 6.
26. 26.Solve: y ÷ 12 = 16. What is y?
27. 27.Aarav shares k mangoes equally among 5 friends. Which expression shows how many mangoes each friend gets? (a) 5k (b) k − 5 (c) k ÷ 5 (d) k + 5
28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
29. 29.Find the value of 9x − 27 when x = 5.
30. 30.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
31. 31.Solve: m − 9 = 2. What is m?
32. 32.Solve: 4y = 16. What is y?
33. 33.Find the value of 7a + 4b when a = 7 and b = 8.
34. 34.Vivaan has p marbles. A friend has 9 fewer. Which expression shows how many marbles the friend has? (a) 9p (b) p ÷ 9 (c) p + 9 (d) p − 9
35. 35.Find the value of 5a + 7b when a = 9 and b = 9.
36. 36.Find the value of 7p + 6 when p = 2.
37. 37.Solve: m − 6 = 3. What is m?
38. 38.Find the value of 7a + 9b when a = 3 and b = 8.
39. 39.Find the value of 6m + 19 when m = 6.
40. 40.Find the value of 2x − 1 when x = 2.

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