Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 614 · 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.Isha has k crayons. A friend has 3 fewer. Which expression shows how many crayons the friend has? (a) 3k (b) k + 3 (c) k ÷ 3 (d) k − 3
2. 2.Find the value of 5a + 8b when a = 2 and b = 2.
3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
4. 4.Find the value of 2a + 4b when a = 2 and b = 4.
5. 5.Pooja shares p balls equally among 4 friends. Which expression shows how many balls each friend gets? (a) p − 4 (b) p ÷ 4 (c) 4p (d) p + 4
6. 6.Find the value of 2x + 10 when x = 8.
7. 7.Find the value of 2y + 19 when y = 3.
8. 8.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
9. 9.Solve: x + 8 = 25. What is x?
10. 10.Find the value of 7p − 8 when p = 11.
11. 11.Solve: 10m = 200. What is m?
12. 12.Find the value of 6y + 4 when y = 7.
13. 13.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
14. 14.Find the value of 5a + 7b when a = 1 and b = 10.
15. 15.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
16. 16.Solve: 12t = 192. What is t?
17. 17.Pooja has n laddoos. A friend has 3 times as many. Which expression shows how many laddoos the friend has? (a) n ÷ 3 (b) n + 3 (c) 3n (d) n − 3
18. 18.Find the value of 9a + 9b when a = 4 and b = 3.
19. 19.Find the value of 2a + 8b when a = 1 and b = 1.
20. 20.Find the value of 7x + 14 when x = 10.
21. 21.Find the value of 6a + 8b when a = 7 and b = 1.
22. 22.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
23. 23.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
24. 24.Ananya has m shells. A friend has 5 fewer. Which expression shows how many shells the friend has? (a) 5m (b) m + 5 (c) m ÷ 5 (d) m − 5
25. 25.Solve: 3x = 42. What is x?
26. 26.Find the value of 3a + 8b when a = 5 and b = 9.
27. 27.Find the value of 2a + 6b when a = 6 and b = 8.
28. 28.Find the value of 5y + 20 when y = 9.
29. 29.Solve: p − 5 = 3. What is p?
30. 30.Find the value of 6a + 5b when a = 5 and b = 6.
31. 31.Find the value of 6x + 7 when x = 4.
32. 32.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
33. 33.Solve: x + 2 = 6. What is x?
34. 34.Find the value of 3y + 10 when y = 7.
35. 35.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
36. 36.Find the value of 3a + 3b when a = 7 and b = 3.
37. 37.Find the value of 4x + 20 when x = 6.
38. 38.Ishaan shares n flowers equally among 2 friends. Which expression shows how many flowers each friend gets? (a) n + 2 (b) n − 2 (c) 2n (d) n ÷ 2
39. 39.Solve: p − 5 = 4. What is p?
40. 40.Arjun has p marbles. A friend has 3 times as many. Which expression shows how many marbles the friend has? (a) p − 3 (b) p + 3 (c) p ÷ 3 (d) 3p

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