Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 492 · 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.Isha has n pencils. A friend has 8 times as many. Which expression shows how many pencils the friend has? (a) n ÷ 8 (b) 8n (c) n − 8 (d) n + 8
2. 2.Find the value of 6a + 7b when a = 6 and b = 1.
3. 3.Solve: y + 2 = 22. What is y?
4. 4.Find the value of 6x − 31 when x = 12.
5. 5.Find the value of 6n + 2 when n = 2.
6. 6.Find the value of 4a + 4b when a = 8 and b = 8.
7. 7.Find the value of 3a + 3b when a = 9 and b = 2.
8. 8.Solve: y − 12 = 18. What is y?
9. 9.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
10. 10.Solve: 6m = 60. What is m?
11. 11.Solve: n − 4 = 11. What is n?
12. 12.Find the value of 3n + 5 when n = 7.
13. 13.Solve: m − 11 = 4. What is m?
14. 14.Solve: x + 4 = 12. What is x?
15. 15.Farhan has n balls. A friend has 4 fewer. Which expression shows how many balls the friend has? (a) n ÷ 4 (b) 4n (c) n + 4 (d) n − 4
16. 16.Kavya has p balls. A friend has 7 times as many. Which expression shows how many balls the friend has? (a) p − 7 (b) 7p (c) p + 7 (d) p ÷ 7
17. 17.Isha shares m bananas equally among 2 friends. Which expression shows how many bananas each friend gets? (a) m ÷ 2 (b) m + 2 (c) m − 2 (d) 2m
18. 18.Find the value of 3a + 6b when a = 1 and b = 3.
19. 19.Find the value of 6a + 3b when a = 9 and b = 1.
20. 20.Solve: x − 8 = 13. What is x?
21. 21.Saanvi has m mangoes. A friend has 3 times as many. Which expression shows how many mangoes the friend has? (a) m − 3 (b) m ÷ 3 (c) m + 3 (d) 3m
22. 22.Find the value of 4t + 2 when t = 7.
23. 23.Riya has n kites. A friend has 7 times as many. Which expression shows how many kites the friend has? (a) n + 7 (b) n ÷ 7 (c) n − 7 (d) 7n
24. 24.Tara has m balls. A friend has 3 fewer. Which expression shows how many balls the friend has? (a) m + 3 (b) m ÷ 3 (c) 3m (d) m − 3
25. 25.Find the value of 7y − 20 when y = 12.
26. 26.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
27. 27.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 16 letters?
28. 28.Solve: m − 10 = 17. What is m?
29. 29.Solve: t ÷ 9 = 18. What is t?
30. 30.Find the value of 4x − 4 when x = 3.
31. 31.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
32. 32.Solve: t − 2 = 5. What is t?
33. 33.Solve: t + 9 = 24. What is t?
34. 34.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
35. 35.Find the value of 6x − 5 when x = 3.
36. 36.Riya has m flowers. A friend has 8 times as many. Which expression shows how many flowers the friend has? (a) 8m (b) m + 8 (c) m − 8 (d) m ÷ 8
37. 37.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
38. 38.Solve: m + 4 = 8. What is m?
39. 39.Ananya has m mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) 3m (b) m − 3 (c) m + 3 (d) m ÷ 3
40. 40.Find the value of 2a + 4b when a = 7 and b = 5.

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