Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 307 · 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 7a + 2b when a = 5 and b = 9.
2. 2.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
3. 3.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
4. 4.Find the value of 4y − 20 when y = 6.
5. 5.Solve: x ÷ 6 = 10. What is x?
6. 6.Solve: n ÷ 11 = 17. What is n?
7. 7.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
8. 8.Find the value of 4t − 13 when t = 4.
9. 9.Find the value of 4a + 3b when a = 8 and b = 9.
10. 10.Solve: p + 2 = 16. What is p?
11. 11.Find the value of 6p + 14 when p = 8.
12. 12.Find the value of 9a + 6b when a = 4 and b = 1.
13. 13.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 28 letters?
14. 14.Solve: 7t = 7. What is t?
15. 15.Priya shares m crayons equally among 2 friends. Which expression shows how many crayons each friend gets? (a) 2m (b) m ÷ 2 (c) m − 2 (d) m + 2
16. 16.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
17. 17.Find the value of 9t + 6 when t = 8.
18. 18.Ananya has p books. A friend has 5 times as many. Which expression shows how many books the friend has? (a) p ÷ 5 (b) 5p (c) p + 5 (d) p − 5
19. 19.Priya shares m marbles equally among 4 friends. Which expression shows how many marbles each friend gets? (a) m − 4 (b) m + 4 (c) m ÷ 4 (d) 4m
20. 20.Aarav shares n bananas equally among 2 friends. Which expression shows how many bananas each friend gets? (a) n ÷ 2 (b) 2n (c) n + 2 (d) n − 2
21. 21.Solve: m ÷ 6 = 8. What is m?
22. 22.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
23. 23.Find the value of 4a + 4b when a = 10 and b = 6.
24. 24.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
25. 25.Farhan has m balls. A friend has 4 times as many. Which expression shows how many balls the friend has? (a) m + 4 (b) m − 4 (c) m ÷ 4 (d) 4m
26. 26.Solve: 12t = 144. What is t?
27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
28. 28.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
29. 29.Find the value of 3x − 17 when x = 7.
30. 30.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
31. 31.Find the value of 2t − 4 when t = 4.
32. 32.Solve: n + 3 = 10. What is n?
33. 33.Solve: 5x = 65. What is x?
34. 34.Find the value of 9a + 7b when a = 3 and b = 6.
35. 35.Find the value of 6m + 17 when m = 1.
36. 36.Manav has p bananas. A friend has 9 fewer. Which expression shows how many bananas the friend has? (a) p + 9 (b) 9p (c) p ÷ 9 (d) p − 9
37. 37.Find the value of 3t + 7 when t = 10.
38. 38.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
39. 39.Solve: p − 12 = 16. What is p?
40. 40.Isha has n crayons. A friend has 8 times as many. Which expression shows how many crayons the friend has? (a) n + 8 (b) n ÷ 8 (c) 8n (d) n − 8

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