Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 306 · 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.Sneha has p flowers. A friend has 4 times as many. Which expression shows how many flowers the friend has? (a) p + 4 (b) p ÷ 4 (c) 4p (d) p − 4
2. 2.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
3. 3.Priya has p pencils. A friend has 8 times as many. Which expression shows how many pencils the friend has? (a) p + 8 (b) p − 8 (c) p ÷ 8 (d) 8p
4. 4.Find the value of 5x − 1 when x = 2.
5. 5.Find the value of 3a + 4b when a = 2 and b = 2.
6. 6.Rahul shares m balloons equally among 3 friends. Which expression shows how many balloons each friend gets? (a) m + 3 (b) m ÷ 3 (c) m − 3 (d) 3m
7. 7.Find the value of 6y − 4 when y = 1.
8. 8.Kabir has m flowers. A friend has 5 more. Which expression shows how many flowers the friend has? (a) 5m (b) m − 5 (c) m ÷ 5 (d) m + 5
9. 9.Farhan has n balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) 6n (b) n ÷ 6 (c) n − 6 (d) n + 6
10. 10.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
11. 11.Solve: p − 6 = 10. What is p?
12. 12.Solve: m ÷ 9 = 4. What is m?
13. 13.Find the value of 3a + 4b when a = 8 and b = 5.
14. 14.Find the value of 5t − 9 when t = 7.
15. 15.Find the value of 3y + 8 when y = 2.
16. 16.Find the value of 5a + 6b when a = 1 and b = 9.
17. 17.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
18. 18.Find the value of 2a + 2b when a = 3 and b = 5.
19. 19.Find the value of 2y + 10 when y = 1.
20. 20.Find the value of 8a + 4b when a = 8 and b = 7.
21. 21.Find the value of 8a + 9b when a = 2 and b = 2.
22. 22.Find the value of 5n − 12 when n = 3.
23. 23.Solve: y + 5 = 8. What is y?
24. 24.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
25. 25.Find the value of 9a + 6b when a = 3 and b = 5.
26. 26.Aditya shares m crayons equally among 9 friends. Which expression shows how many crayons each friend gets? (a) 9m (b) m + 9 (c) m − 9 (d) m ÷ 9
27. 27.Solve: x + 2 = 13. What is x?
28. 28.Find the value of 8y − 41 when y = 9.
29. 29.Find the value of 7a + 6b when a = 8 and b = 1.
30. 30.Vivaan has p shells. A friend has 5 fewer. Which expression shows how many shells the friend has? (a) p + 5 (b) 5p (c) p − 5 (d) p ÷ 5
31. 31.Find the value of 3y + 5 when y = 3.
32. 32.Rohan has n flowers. A friend has 4 more. Which expression shows how many flowers the friend has? (a) n ÷ 4 (b) 4n (c) n + 4 (d) n − 4
33. 33.Find the value of 4a + 4b when a = 10 and b = 1.
34. 34.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
35. 35.Find the value of 3a + 5b when a = 4 and b = 4.
36. 36.Find the value of 5t − 11 when t = 7.
37. 37.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
38. 38.Find the value of 4a + 9b when a = 2 and b = 8.
39. 39.Solve: n + 4 = 14. What is n?
40. 40.Solve: y ÷ 9 = 18. What is y?

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