Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 315 · 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.Riya has m crayons. A friend has 3 more. Which expression shows how many crayons the friend has? (a) m ÷ 3 (b) m + 3 (c) 3m (d) m − 3
2. 2.Find the value of 3a + 3b when a = 6 and b = 9.
3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
4. 4.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
5. 5.Find the value of 5a + 9b when a = 3 and b = 2.
6. 6.Find the value of 6n + 10 when n = 6.
7. 7.Find the value of 5a + 6b when a = 6 and b = 4.
8. 8.Solve: y − 6 = 3. What is y?
9. 9.Find the value of 9p − 39 when p = 11.
10. 10.Find the value of 2n − 1 when n = 1.
11. 11.Karan shares p crayons equally among 3 friends. Which expression shows how many crayons each friend gets? (a) p + 3 (b) p ÷ 3 (c) 3p (d) p − 3
12. 12.Solve: x ÷ 10 = 20. What is x?
13. 13.Isha has n mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) n ÷ 2 (b) 2n (c) n + 2 (d) n − 2
14. 14.Find the value of 9x + 4 when x = 10.
15. 15.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
16. 16.Solve: x ÷ 11 = 20. What is x?
17. 17.Find the value of 6n + 9 when n = 8.
18. 18.Solve: m + 12 = 16. What is m?
19. 19.Find the value of 8t + 19 when t = 2.
20. 20.Find the value of 2x − 8 when x = 9.
21. 21.Solve: 5t = 95. What is t?
22. 22.Priya has p crayons. A friend has 6 times as many. Which expression shows how many crayons the friend has? (a) p + 6 (b) p ÷ 6 (c) 6p (d) p − 6
23. 23.Solve: p ÷ 3 = 4. What is p?
24. 24.Solve: 12m = 156. What is m?
25. 25.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
26. 26.Find the value of 5n + 16 when n = 11.
27. 27.Find the value of 2a + 3b when a = 1 and b = 2.
28. 28.Aditya has m balloons. A friend has 6 more. Which expression shows how many balloons the friend has? (a) m − 6 (b) 6m (c) m ÷ 6 (d) m + 6
29. 29.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
31. 31.Find the value of 7n + 18 when n = 7.
32. 32.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
33. 33.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
34. 34.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
35. 35.Arjun has m crayons. A friend has 9 more. Which expression shows how many crayons the friend has? (a) 9m (b) m + 9 (c) m − 9 (d) m ÷ 9
36. 36.Aditya has n balloons. A friend has 2 fewer. Which expression shows how many balloons the friend has? (a) n + 2 (b) 2n (c) n − 2 (d) n ÷ 2
37. 37.Solve: 6t = 12. What is t?
38. 38.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
39. 39.Dev has n balloons. A friend has 5 times as many. Which expression shows how many balloons the friend has? (a) n − 5 (b) n ÷ 5 (c) n + 5 (d) 5n
40. 40.Find the value of 5y − 8 when y = 4.

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