Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 188 · 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.Joseph has n mangoes. A friend has 9 fewer. Which expression shows how many mangoes the friend has? (a) 9n (b) n − 9 (c) n ÷ 9 (d) n + 9
2. 2.Riya has k laddoos. A friend has 6 times as many. Which expression shows how many laddoos the friend has? (a) 6k (b) k ÷ 6 (c) k − 6 (d) k + 6
3. 3.Find the value of 7m + 1 when m = 10.
4. 4.Find the value of 6y − 41 when y = 10.
5. 5.Vivaan has m shells. A friend has 4 times as many. Which expression shows how many shells the friend has? (a) m ÷ 4 (b) m − 4 (c) 4m (d) m + 4
6. 6.Find the value of 9a + 7b when a = 9 and b = 8.
7. 7.Find the value of 7a + 3b when a = 7 and b = 2.
8. 8.Find the value of 7a + 9b when a = 5 and b = 5.
9. 9.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 17 letters?
10. 10.Find the value of 4a + 4b when a = 1 and b = 9.
11. 11.Aditya has n marbles. A friend has 5 fewer. Which expression shows how many marbles the friend has? (a) n − 5 (b) 5n (c) n + 5 (d) n ÷ 5
12. 12.Ishaan has p shells. A friend has 4 more. Which expression shows how many shells the friend has? (a) p + 4 (b) p ÷ 4 (c) p − 4 (d) 4p
13. 13.Find the value of 6a + 5b when a = 8 and b = 3.
14. 14.Priya has m balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) 3m (b) m ÷ 3 (c) m + 3 (d) m − 3
15. 15.Find the value of 4t − 4 when t = 4.
16. 16.Find the value of 6p + 20 when p = 10.
17. 17.Find the value of 6a + 6b when a = 9 and b = 4.
18. 18.Nisha has n bananas. A friend has 6 times as many. Which expression shows how many bananas the friend has? (a) n + 6 (b) n − 6 (c) 6n (d) n ÷ 6
19. 19.Find the value of 5n − 11 when n = 5.
20. 20.Find the value of 9y + 18 when y = 11.
21. 21.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
22. 22.Find the value of 9m − 3 when m = 12.
23. 23.Pooja has k balloons. A friend has 9 fewer. Which expression shows how many balloons the friend has? (a) k + 9 (b) 9k (c) k ÷ 9 (d) k − 9
24. 24.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
25. 25.Find the value of 8n − 36 when n = 12.
26. 26.Find the value of 3x + 11 when x = 8.
27. 27.Joseph shares m marbles equally among 3 friends. Which expression shows how many marbles each friend gets? (a) m ÷ 3 (b) m − 3 (c) m + 3 (d) 3m
28. 28.Find the value of 7p − 61 when p = 10.
29. 29.Find the value of 2n + 3 when n = 8.
30. 30.Find the value of 5a + 9b when a = 5 and b = 8.
31. 31.Find the value of 7m + 1 when m = 8.
32. 32.Riya has n shells. A friend has 7 fewer. Which expression shows how many shells the friend has? (a) n − 7 (b) n + 7 (c) 7n (d) n ÷ 7
33. 33.Solve: p − 2 = 20. What is p?
34. 34.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
35. 35.Isha has k balls. A friend has 9 times as many. Which expression shows how many balls the friend has? (a) k − 9 (b) k ÷ 9 (c) k + 9 (d) 9k
36. 36.Solve: t − 2 = 6. What is t?
37. 37.Solve: y ÷ 5 = 4. What is y?
38. 38.Find the value of 4t + 14 when t = 10.
39. 39.Find the value of 9a + 8b when a = 5 and b = 3.
40. 40.Meera shares n flowers equally among 4 friends. Which expression shows how many flowers each friend gets? (a) n + 4 (b) n ÷ 4 (c) 4n (d) n − 4

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets