Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 352 · 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.Find the value of 5y + 13 when y = 12.
2. 2.Priya has n laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) n ÷ 2 (b) n − 2 (c) n + 2 (d) 2n
3. 3.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
4. 4.Solve: y + 7 = 27. What is y?
5. 5.Diya has k mangoes. A friend has 8 fewer. Which expression shows how many mangoes the friend has? (a) 8k (b) k − 8 (c) k + 8 (d) k ÷ 8
6. 6.Find the value of 6p + 15 when p = 10.
7. 7.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
8. 8.Find the value of 3a + 5b when a = 9 and b = 4.
9. 9.Find the value of 8a + 4b when a = 2 and b = 1.
10. 10.Find the value of 3a + 6b when a = 2 and b = 5.
11. 11.Find the value of 2x + 3 when x = 8.
12. 12.Solve: t ÷ 4 = 14. What is t?
13. 13.Solve: y + 4 = 22. What is y?
14. 14.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 29 letters?
15. 15.Arjun shares k balls equally among 5 friends. Which expression shows how many balls each friend gets? (a) 5k (b) k − 5 (c) k + 5 (d) k ÷ 5
16. 16.Find the value of 2y + 6 when y = 4.
17. 17.Find the value of 4a + 4b when a = 5 and b = 1.
18. 18.Find the value of 6a + 8b when a = 2 and b = 6.
19. 19.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
20. 20.Find the value of 2m + 4 when m = 3.
21. 21.Solve: x + 12 = 18. What is x?
22. 22.Solve: n − 11 = 20. What is n?
23. 23.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
24. 24.Find the value of 5y − 14 when y = 9.
25. 25.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
26. 26.Solve: t − 5 = 20. What is t?
27. 27.Find the value of 2a + 3b when a = 8 and b = 7.
28. 28.Find the value of 3x − 5 when x = 3.
29. 29.Solve: y ÷ 5 = 2. What is y?
30. 30.Find the value of 5m − 19 when m = 6.
31. 31.Solve: y + 4 = 5. What is y?
32. 32.Manav has n crayons. A friend has 3 fewer. Which expression shows how many crayons the friend has? (a) n − 3 (b) n + 3 (c) n ÷ 3 (d) 3n
33. 33.Solve: y − 5 = 1. What is y?
34. 34.Find the value of 9a + 3b when a = 8 and b = 9.
35. 35.Solve: y + 6 = 19. What is y?
36. 36.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
37. 37.Kavya shares m kites equally among 4 friends. Which expression shows how many kites each friend gets? (a) m − 4 (b) m + 4 (c) m ÷ 4 (d) 4m
38. 38.Find the value of 2a + 3b when a = 1 and b = 4.
39. 39.Diya has m kites. A friend has 6 fewer. Which expression shows how many kites the friend has? (a) m ÷ 6 (b) m + 6 (c) 6m (d) m − 6
40. 40.Find the value of 5a + 7b when a = 5 and b = 4.

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