Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 253 · 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.Priya has m mangoes. A friend has 7 more. Which expression shows how many mangoes the friend has? (a) m + 7 (b) 7m (c) m − 7 (d) m ÷ 7
2. 2.Solve: y ÷ 12 = 7. What is y?
3. 3.Karan has n balloons. A friend has 5 fewer. Which expression shows how many balloons the friend has? (a) n − 5 (b) n + 5 (c) 5n (d) n ÷ 5
4. 4.Find the value of 8a + 4b when a = 1 and b = 2.
5. 5.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
6. 6.Solve: n − 9 = 8. What is n?
7. 7.Find the value of 5a + 8b when a = 5 and b = 1.
8. 8.Find the value of 5x + 11 when x = 5.
9. 9.Solve: t + 12 = 20. What is t?
10. 10.Meera has p balloons. A friend has 4 times as many. Which expression shows how many balloons the friend has? (a) p ÷ 4 (b) 4p (c) p − 4 (d) p + 4
11. 11.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
12. 12.Find the value of 6y − 4 when y = 6.
13. 13.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
14. 14.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
15. 15.Find the value of 8t − 2 when t = 6.
16. 16.Find the value of 8a + 8b when a = 1 and b = 6.
17. 17.Joseph has n laddoos. A friend has 9 fewer. Which expression shows how many laddoos the friend has? (a) n − 9 (b) 9n (c) n ÷ 9 (d) n + 9
18. 18.Find the value of 6a + 6b when a = 8 and b = 6.
19. 19.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
20. 20.Find the value of 2x − 3 when x = 3.
21. 21.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
22. 22.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
23. 23.Find the value of 8x − 2 when x = 2.
24. 24.Find the value of 5a + 8b when a = 8 and b = 6.
25. 25.Find the value of 4a + 6b when a = 10 and b = 8.
26. 26.Solve: y ÷ 7 = 2. What is y?
27. 27.Solve: p − 2 = 10. What is p?
28. 28.Find the value of 6a + 2b when a = 7 and b = 5.
29. 29.Gurpreet has n marbles. A friend has 5 times as many. Which expression shows how many marbles the friend has? (a) n + 5 (b) n ÷ 5 (c) 5n (d) n − 5
30. 30.Find the value of 9x − 1 when x = 11.
31. 31.Solve: t − 5 = 14. What is t?
32. 32.Find the value of 3a + 6b when a = 6 and b = 5.
33. 33.Solve: y ÷ 2 = 4. What is y?
34. 34.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
35. 35.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
36. 36.Find the value of 9a + 5b when a = 2 and b = 8.
37. 37.Solve: 5x = 65. What is x?
38. 38.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
39. 39.Find the value of 4a + 6b when a = 7 and b = 8.
40. 40.Find the value of 9a + 5b when a = 6 and b = 7.

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