Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 482 · 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.Meera shares m bananas equally among 7 friends. Which expression shows how many bananas each friend gets? (a) m + 7 (b) m − 7 (c) m ÷ 7 (d) 7m
2. 2.Find the value of 3x − 1 when x = 9.
3. 3.Solve: m + 11 = 12. What is m?
4. 4.Find the value of 8a + 9b when a = 8 and b = 4.
5. 5.Find the value of 8p + 5 when p = 10.
6. 6.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
7. 7.Find the value of 2y − 1 when y = 2.
8. 8.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
9. 9.Kavya has m shells. A friend has 7 more. Which expression shows how many shells the friend has? (a) m − 7 (b) 7m (c) m + 7 (d) m ÷ 7
10. 10.Find the value of 8a + 4b when a = 8 and b = 7.
11. 11.Manav has n laddoos. A friend has 6 fewer. Which expression shows how many laddoos the friend has? (a) n + 6 (b) 6n (c) n − 6 (d) n ÷ 6
12. 12.Find the value of 9a + 3b when a = 8 and b = 8.
13. 13.Solve: p ÷ 5 = 3. What is p?
14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
15. 15.Find the value of 2t − 1 when t = 3.
16. 16.Rohan shares n balls equally among 2 friends. Which expression shows how many balls each friend gets? (a) n − 2 (b) n + 2 (c) 2n (d) n ÷ 2
17. 17.Kabir shares m crayons equally among 6 friends. Which expression shows how many crayons each friend gets? (a) m + 6 (b) 6m (c) m − 6 (d) m ÷ 6
18. 18.Solve: 7p = 42. What is p?
19. 19.Solve: y − 12 = 4. What is y?
20. 20.Solve: m ÷ 4 = 12. What is m?
21. 21.Priya has m crayons. A friend has 7 more. Which expression shows how many crayons the friend has? (a) m + 7 (b) m − 7 (c) m ÷ 7 (d) 7m
22. 22.Find the value of 4t − 8 when t = 3.
23. 23.Solve: t ÷ 8 = 5. What is t?
24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
25. 25.Find the value of 2m − 2 when m = 12.
26. 26.Find the value of 9y + 10 when y = 6.
27. 27.Find the value of 9t − 74 when t = 12.
28. 28.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
29. 29.Tara has m marbles. A friend has 9 fewer. Which expression shows how many marbles the friend has? (a) m + 9 (b) m ÷ 9 (c) 9m (d) m − 9
30. 30.Rahul has p books. A friend has 8 more. Which expression shows how many books the friend has? (a) 8p (b) p ÷ 8 (c) p + 8 (d) p − 8
31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
32. 32.Solve: t + 9 = 11. What is t?
33. 33.Find the value of 8a + 2b when a = 10 and b = 7.
34. 34.Find the value of 9a + 3b when a = 8 and b = 10.
35. 35.Farhan has p kites. A friend has 8 more. Which expression shows how many kites the friend has? (a) p + 8 (b) 8p (c) p − 8 (d) p ÷ 8
36. 36.Find the value of 7y + 5 when y = 3.
37. 37.Find the value of 8x + 17 when x = 2.
38. 38.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
39. 39.Solve: p ÷ 4 = 20. What is p?
40. 40.Find the value of 9y + 5 when y = 7.

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