Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 169 · 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.Aarav has m kites. A friend has 3 times as many. Which expression shows how many kites the friend has? (a) m − 3 (b) m ÷ 3 (c) 3m (d) m + 3
2. 2.Find the value of 3m − 6 when m = 7.
3. 3.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
4. 4.Pooja has m marbles. A friend has 7 more. Which expression shows how many marbles the friend has? (a) m ÷ 7 (b) 7m (c) m + 7 (d) m − 7
5. 5.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
6. 6.Find the value of 3a + 4b when a = 7 and b = 4.
7. 7.Find the value of 4y + 11 when y = 7.
8. 8.Kabir shares n mangoes equally among 4 friends. Which expression shows how many mangoes each friend gets? (a) 4n (b) n − 4 (c) n + 4 (d) n ÷ 4
9. 9.Solve: x + 3 = 13. What is x?
10. 10.Solve: m − 2 = 11. What is m?
11. 11.Solve: 6t = 84. What is t?
12. 12.Zoya shares p mangoes equally among 3 friends. Which expression shows how many mangoes each friend gets? (a) p − 3 (b) p ÷ 3 (c) p + 3 (d) 3p
13. 13.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 14 letters?
14. 14.Solve: p + 7 = 11. What is p?
15. 15.Find the value of 3a + 6b when a = 3 and b = 10.
16. 16.Find the value of 4y + 4 when y = 3.
17. 17.Gurpreet has p marbles. A friend has 8 more. Which expression shows how many marbles the friend has? (a) 8p (b) p + 8 (c) p − 8 (d) p ÷ 8
18. 18.Find the value of 9y + 12 when y = 4.
19. 19.Find the value of 6p + 9 when p = 5.
20. 20.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
21. 21.Solve: 2m = 10. What is m?
22. 22.Find the value of 6a + 6b when a = 1 and b = 6.
23. 23.Find the value of 8m + 8 when m = 12.
24. 24.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
25. 25.Solve: 2t = 40. What is t?
26. 26.Solve: 11y = 209. What is y?
27. 27.Solve: p ÷ 8 = 20. What is p?
28. 28.Karan has m balls. A friend has 4 fewer. Which expression shows how many balls the friend has? (a) m + 4 (b) m ÷ 4 (c) 4m (d) m − 4
29. 29.Find the value of 2y − 13 when y = 7.
30. 30.Find the value of 2a + 8b when a = 10 and b = 2.
31. 31.Find the value of 9a + 7b when a = 9 and b = 9.
32. 32.Find the value of 9p − 16 when p = 3.
33. 33.Solve: x − 12 = 19. What is x?
34. 34.Find the value of 9a + 5b when a = 10 and b = 3.
35. 35.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
36. 36.Ananya has p pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) 6p (b) p ÷ 6 (c) p − 6 (d) p + 6
37. 37.Solve: n − 3 = 14. What is n?
38. 38.Pooja has n bananas. A friend has 8 times as many. Which expression shows how many bananas the friend has? (a) n − 8 (b) n + 8 (c) 8n (d) n ÷ 8
39. 39.Find the value of 3a + 5b when a = 7 and b = 2.
40. 40.Find the value of 9m − 2 when m = 1.

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