Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 272 · 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.Solve: x ÷ 4 = 4. What is x?
2. 2.Solve: p − 3 = 17. What is p?
3. 3.Find the value of 5a + 8b when a = 5 and b = 2.
4. 4.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
5. 5.Find the value of 2a + 3b when a = 1 and b = 4.
6. 6.Find the value of 8t + 10 when t = 7.
7. 7.Find the value of 3p − 8 when p = 3.
8. 8.Find the value of 5a + 2b when a = 3 and b = 2.
9. 9.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
11. 11.Find the value of 7y − 4 when y = 3.
12. 12.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
13. 13.Find the value of 2y + 11 when y = 4.
14. 14.Karan has n bananas. A friend has 3 more. Which expression shows how many bananas the friend has? (a) n ÷ 3 (b) 3n (c) n + 3 (d) n − 3
15. 15.Solve: p − 5 = 7. What is p?
16. 16.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
17. 17.Dev shares m balloons equally among 7 friends. Which expression shows how many balloons each friend gets? (a) 7m (b) m + 7 (c) m − 7 (d) m ÷ 7
18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 21 letters?
19. 19.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
20. 20.Find the value of 4x + 16 when x = 1.
21. 21.Find the value of 7n + 5 when n = 1.
22. 22.Rahul has k pencils. A friend has 8 fewer. Which expression shows how many pencils the friend has? (a) k + 8 (b) k − 8 (c) k ÷ 8 (d) 8k
23. 23.Find the value of 2t − 1 when t = 1.
24. 24.Priya 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
25. 25.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
26. 26.Zoya has m balls. A friend has 9 fewer. Which expression shows how many balls the friend has? (a) m ÷ 9 (b) m + 9 (c) 9m (d) m − 9
27. 27.Isha has k balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) 3k (b) k + 3 (c) k ÷ 3 (d) k − 3
28. 28.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
29. 29.Find the value of 6a + 5b when a = 9 and b = 3.
30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
31. 31.Find the value of 7a + 8b when a = 1 and b = 2.
32. 32.Solve: y − 3 = 8. What is y?
33. 33.Solve: 11m = 121. What is m?
34. 34.Find the value of 7a + 2b when a = 3 and b = 7.
35. 35.Nisha has k pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) k ÷ 3 (b) k + 3 (c) 3k (d) k − 3
36. 36.Solve: p + 8 = 11. What is p?
37. 37.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
38. 38.Arjun has p bananas. A friend has 4 more. Which expression shows how many bananas the friend has? (a) 4p (b) p ÷ 4 (c) p − 4 (d) p + 4
39. 39.Find the value of 2a + 5b when a = 3 and b = 5.
40. 40.Find the value of 2x − 4 when x = 3.

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