Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 600 · 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.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
2. 2.Find the value of 6m − 8 when m = 2.
3. 3.Find the value of 8a + 2b when a = 4 and b = 3.
4. 4.Solve: y − 2 = 8. What is y?
5. 5.Find the value of 8a + 3b when a = 7 and b = 10.
6. 6.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
7. 7.Find the value of 9p + 6 when p = 10.
8. 8.Find the value of 7p + 5 when p = 9.
9. 9.Solve: p ÷ 7 = 13. What is p?
10. 10.Solve: x − 4 = 20. What is x?
11. 11.Find the value of 8a + 3b when a = 1 and b = 8.
12. 12.Find the value of 3m + 19 when m = 12.
13. 13.Find the value of 5a + 3b when a = 8 and b = 10.
14. 14.Find the value of 9y − 2 when y = 1.
15. 15.Vivaan has n shells. A friend has 3 times as many. Which expression shows how many shells the friend has? (a) n − 3 (b) n + 3 (c) 3n (d) n ÷ 3
16. 16.Find the value of 7p − 17 when p = 3.
17. 17.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
18. 18.Pooja shares p laddoos equally among 2 friends. Which expression shows how many laddoos each friend gets? (a) p + 2 (b) p − 2 (c) 2p (d) p ÷ 2
19. 19.Nisha has n crayons. A friend has 3 more. Which expression shows how many crayons the friend has? (a) n − 3 (b) n + 3 (c) n ÷ 3 (d) 3n
20. 20.Zoya shares p laddoos equally among 5 friends. Which expression shows how many laddoos each friend gets? (a) p + 5 (b) p ÷ 5 (c) p − 5 (d) 5p
21. 21.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
22. 22.Find the value of 4p + 13 when p = 10.
23. 23.Find the value of 6t + 19 when t = 3.
24. 24.Find the value of 7x − 33 when x = 5.
25. 25.Find the value of 9t + 15 when t = 8.
26. 26.Find the value of 4a + 7b when a = 3 and b = 6.
27. 27.Karan has m mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) 2m (b) m + 2 (c) m ÷ 2 (d) m − 2
28. 28.Find the value of 3x + 8 when x = 10.
29. 29.Riya shares m balls equally among 4 friends. Which expression shows how many balls each friend gets? (a) m ÷ 4 (b) m + 4 (c) 4m (d) m − 4
30. 30.Find the value of 2a + 4b when a = 6 and b = 8.
31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
32. 32.Solve: 11y = 132. What is y?
33. 33.Nisha has n marbles. A friend has 7 times as many. Which expression shows how many marbles the friend has? (a) n − 7 (b) n ÷ 7 (c) n + 7 (d) 7n
34. 34.Solve: x + 6 = 7. What is x?
35. 35.Find the value of 4a + 8b when a = 8 and b = 5.
36. 36.Solve: t + 5 = 14. What is t?
37. 37.Find the value of 2a + 4b when a = 10 and b = 9.
38. 38.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
39. 39.Gurpreet has p balls. A friend has 7 times as many. Which expression shows how many balls the friend has? (a) 7p (b) p − 7 (c) p + 7 (d) p ÷ 7
40. 40.Find the value of 5m + 11 when m = 4.

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