Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 518 · 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.Find the value of 5y + 15 when y = 6.
2. 2.Aditya has p books. A friend has 4 more. Which expression shows how many books the friend has? (a) 4p (b) p + 4 (c) p ÷ 4 (d) p − 4
3. 3.Aarav has p mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) 3p (b) p + 3 (c) p ÷ 3 (d) p − 3
4. 4.Find the value of 2a + 2b when a = 8 and b = 10.
5. 5.Find the value of 6a + 4b when a = 4 and b = 6.
6. 6.Find the value of 5x + 6 when x = 11.
7. 7.Find the value of 6a + 4b when a = 7 and b = 6.
8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
9. 9.Lakshmi has p marbles. A friend has 9 times as many. Which expression shows how many marbles the friend has? (a) p + 9 (b) p ÷ 9 (c) 9p (d) p − 9
10. 10.Find the value of 7t + 5 when t = 12.
11. 11.Solve: x + 7 = 10. What is x?
12. 12.Solve: 2m = 30. What is m?
13. 13.Find the value of 2a + 3b when a = 2 and b = 2.
14. 14.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
15. 15.Find the value of 5a + 2b when a = 3 and b = 7.
16. 16.Vivaan has n pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) n − 5 (b) n + 5 (c) n ÷ 5 (d) 5n
17. 17.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
18. 18.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
19. 19.Solve: y − 12 = 8. What is y?
20. 20.Solve: m ÷ 4 = 7. What is m?
21. 21.Find the value of 2t + 19 when t = 2.
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.Manav has n balls. A friend has 5 more. Which expression shows how many balls the friend has? (a) 5n (b) n ÷ 5 (c) n + 5 (d) n − 5
24. 24.Rahul has m balloons. A friend has 2 times as many. Which expression shows how many balloons the friend has? (a) m − 2 (b) 2m (c) m + 2 (d) m ÷ 2
25. 25.Kavya shares p books equally among 8 friends. Which expression shows how many books each friend gets? (a) 8p (b) p ÷ 8 (c) p + 8 (d) p − 8
26. 26.Solve: 4t = 8. What is t?
27. 27.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
28. 28.Solve: p + 2 = 8. What is p?
29. 29.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
30. 30.Lakshmi shares p mangoes equally among 5 friends. Which expression shows how many mangoes each friend gets? (a) p + 5 (b) 5p (c) p ÷ 5 (d) p − 5
31. 31.Find the value of 5p + 10 when p = 7.
32. 32.Find the value of 3x − 3 when x = 3.
33. 33.Find the value of 6a + 4b when a = 8 and b = 1.
34. 34.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
35. 35.Find the value of 5n + 3 when n = 3.
36. 36.Find the value of 4a + 3b when a = 5 and b = 7.
37. 37.Saanvi has m laddoos. A friend has 4 more. Which expression shows how many laddoos the friend has? (a) m ÷ 4 (b) m + 4 (c) 4m (d) m − 4
38. 38.Solve: n ÷ 12 = 1. What is n?
39. 39.Solve: n − 10 = 11. What is n?
40. 40.Solve: x ÷ 11 = 9. What is x?

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