Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 353 · 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.Ananya has p balls. A friend has 4 fewer. Which expression shows how many balls the friend has? (a) p + 4 (b) 4p (c) p ÷ 4 (d) p − 4
2. 2.Find the value of 8a + 2b when a = 1 and b = 7.
3. 3.Pooja has m kites. A friend has 2 times as many. Which expression shows how many kites the friend has? (a) m − 2 (b) 2m (c) m ÷ 2 (d) m + 2
4. 4.Rahul has p shells. A friend has 7 times as many. Which expression shows how many shells the friend has? (a) p + 7 (b) p − 7 (c) 7p (d) p ÷ 7
5. 5.Find the value of 3a + 3b when a = 8 and b = 5.
6. 6.Find the value of 4a + 3b when a = 1 and b = 9.
7. 7.Find the value of 9a + 6b when a = 2 and b = 1.
8. 8.Solve: t ÷ 2 = 16. What is t?
9. 9.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
10. 10.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
11. 11.Ananya has p kites. A friend has 2 more. Which expression shows how many kites the friend has? (a) p + 2 (b) p ÷ 2 (c) p − 2 (d) 2p
12. 12.Priya has m balloons. A friend has 2 times as many. Which expression shows how many balloons the friend has? (a) 2m (b) m + 2 (c) m − 2 (d) m ÷ 2
13. 13.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
14. 14.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
15. 15.Solve: t + 11 = 26. What is t?
16. 16.Ananya has m balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) m + 5 (b) m − 5 (c) 5m (d) m ÷ 5
17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
18. 18.Solve: t ÷ 7 = 18. What is t?
19. 19.Find the value of 7t − 11 when t = 4.
20. 20.Find the value of 4a + 6b when a = 8 and b = 5.
21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
22. 22.Solve: 5m = 5. What is m?
23. 23.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
24. 24.Solve: 9m = 162. What is m?
25. 25.Find the value of 7a + 6b when a = 1 and b = 4.
26. 26.Solve: x ÷ 4 = 3. What is x?
27. 27.Saanvi shares p balls equally among 2 friends. Which expression shows how many balls each friend gets? (a) p − 2 (b) p + 2 (c) p ÷ 2 (d) 2p
28. 28.Meera has k flowers. A friend has 4 more. Which expression shows how many flowers the friend has? (a) k ÷ 4 (b) k + 4 (c) 4k (d) k − 4
29. 29.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
30. 30.Find the value of 2a + 5b when a = 6 and b = 2.
31. 31.Find the value of 8y + 3 when y = 2.
32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
33. 33.Find the value of 9x − 26 when x = 5.
34. 34.Solve: t − 4 = 5. What is t?
35. 35.Isha has m balloons. A friend has 4 times as many. Which expression shows how many balloons the friend has? (a) 4m (b) m ÷ 4 (c) m − 4 (d) m + 4
36. 36.Find the value of 2a + 4b when a = 8 and b = 9.
37. 37.Find the value of 2a + 7b when a = 1 and b = 4.
38. 38.Solve: x − 4 = 8. What is x?
39. 39.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
40. 40.Find the value of 3t − 2 when t = 4.

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