Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 418 · 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 E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
2. 2.Find the value of 9a + 5b when a = 5 and b = 10.
3. 3.Solve: m ÷ 11 = 16. What is m?
4. 4.Solve: p − 12 = 13. What is p?
5. 5.Solve: x ÷ 11 = 7. What is x?
6. 6.Find the value of 7y − 40 when y = 7.
7. 7.Find the value of 6n + 18 when n = 6.
8. 8.Vivaan has n kites. A friend has 3 more. Which expression shows how many kites the friend has? (a) 3n (b) n + 3 (c) n ÷ 3 (d) n − 3
9. 9.Arjun has n bananas. A friend has 7 times as many. Which expression shows how many bananas the friend has? (a) n ÷ 7 (b) n − 7 (c) 7n (d) n + 7
10. 10.Find the value of 5a + 7b when a = 6 and b = 3.
11. 11.Solve: 12y = 36. What is y?
12. 12.Find the value of 7y − 8 when y = 5.
13. 13.Arjun has p books. A friend has 7 fewer. Which expression shows how many books the friend has? (a) p − 7 (b) p ÷ 7 (c) 7p (d) p + 7
14. 14.Ishaan has n bananas. A friend has 3 times as many. Which expression shows how many bananas the friend has? (a) n − 3 (b) 3n (c) n ÷ 3 (d) n + 3
15. 15.Solve: t − 10 = 13. What is t?
16. 16.Solve: m ÷ 10 = 15. What is m?
17. 17.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
18. 18.Find the value of 6y − 26 when y = 5.
19. 19.Arjun has p shells. A friend has 5 fewer. Which expression shows how many shells the friend has? (a) p + 5 (b) 5p (c) p ÷ 5 (d) p − 5
20. 20.Find the value of 8t + 2 when t = 10.
21. 21.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
22. 22.Find the value of 8x + 3 when x = 9.
23. 23.Find the value of 2a + 8b when a = 6 and b = 6.
24. 24.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
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.Solve: x − 6 = 12. What is x?
27. 27.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
28. 28.Find the value of 2y − 1 when y = 1.
29. 29.Find the value of 3n − 2 when n = 1.
30. 30.Solve: t + 2 = 15. What is t?
31. 31.Solve: n ÷ 5 = 6. What is n?
32. 32.Find the value of 4t + 3 when t = 1.
33. 33.Solve: p + 12 = 14. What is p?
34. 34.Ishaan shares m balls equally among 2 friends. Which expression shows how many balls each friend gets? (a) 2m (b) m ÷ 2 (c) m + 2 (d) m − 2
35. 35.Solve: 7y = 21. What is y?
36. 36.Kabir has p marbles. A friend has 5 times as many. Which expression shows how many marbles the friend has? (a) 5p (b) p + 5 (c) p ÷ 5 (d) p − 5
37. 37.Find the value of 6a + 2b when a = 3 and b = 8.
38. 38.Find the value of 7m + 2 when m = 9.
39. 39.Solve: y − 5 = 12. What is y?
40. 40.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?

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