Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 164 · 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 shares p balloons equally among 8 friends. Which expression shows how many balloons each friend gets? (a) 8p (b) p − 8 (c) p ÷ 8 (d) p + 8
2. 2.Vivaan has p bananas. A friend has 5 more. Which expression shows how many bananas the friend has? (a) p ÷ 5 (b) p − 5 (c) 5p (d) p + 5
3. 3.Solve: m + 10 = 13. What is m?
4. 4.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
5. 5.Find the value of 7a + 2b when a = 7 and b = 3.
6. 6.Solve: n ÷ 3 = 12. What is n?
7. 7.Find the value of 5y − 5 when y = 3.
8. 8.Find the value of 3a + 3b when a = 10 and b = 6.
9. 9.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
10. 10.Solve: m + 7 = 16. What is m?
11. 11.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
12. 12.Find the value of 2a + 3b when a = 9 and b = 8.
13. 13.Solve: 12t = 120. What is t?
14. 14.Find the value of 7t + 5 when t = 1.
15. 15.Find the value of 2x + 6 when x = 1.
16. 16.Solve: x − 8 = 12. What is x?
17. 17.Solve: p + 12 = 14. What is p?
18. 18.Diya has p laddoos. A friend has 8 more. Which expression shows how many laddoos the friend has? (a) p ÷ 8 (b) 8p (c) p − 8 (d) p + 8
19. 19.Gurpreet 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
20. 20.Solve: x + 4 = 19. What is x?
21. 21.Tara shares p bananas equally among 3 friends. Which expression shows how many bananas each friend gets? (a) p ÷ 3 (b) 3p (c) p + 3 (d) p − 3
22. 22.Solve: p ÷ 4 = 3. What is p?
23. 23.Solve: p − 2 = 2. What is p?
24. 24.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
25. 25.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
26. 26.Solve: 11t = 88. What is t?
27. 27.Sneha has n balls. A friend has 5 more. Which expression shows how many balls the friend has? (a) n − 5 (b) n ÷ 5 (c) 5n (d) n + 5
28. 28.Find the value of 5x − 2 when x = 3.
29. 29.Find the value of 2a + 4b when a = 2 and b = 3.
30. 30.Find the value of 3a + 8b when a = 3 and b = 6.
31. 31.Find the value of 2n − 2 when n = 3.
32. 32.Find the value of 8n − 1 when n = 2.
33. 33.Find the value of 6m − 30 when m = 10.
34. 34.Find the value of 6p + 14 when p = 5.
35. 35.Ananya shares p balloons equally among 4 friends. Which expression shows how many balloons each friend gets? (a) p ÷ 4 (b) p + 4 (c) 4p (d) p − 4
36. 36.Farhan has p marbles. A friend has 8 more. Which expression shows how many marbles the friend has? (a) p ÷ 8 (b) 8p (c) p + 8 (d) p − 8
37. 37.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
38. 38.Solve: n ÷ 11 = 7. What is n?
39. 39.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
40. 40.Find the value of 6p + 1 when p = 7.

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