Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 429 · 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.Lakshmi has p marbles. A friend has 6 fewer. Which expression shows how many marbles the friend has? (a) p + 6 (b) 6p (c) p − 6 (d) p ÷ 6
2. 2.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
3. 3.Solve: 2y = 38. What is y?
4. 4.Solve: t − 10 = 7. What is t?
5. 5.Solve: m ÷ 9 = 16. What is m?
6. 6.Solve: p ÷ 12 = 12. What is p?
7. 7.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
8. 8.Ananya shares m balloons equally among 2 friends. Which expression shows how many balloons each friend gets? (a) m + 2 (b) 2m (c) m − 2 (d) m ÷ 2
9. 9.Find the value of 4a + 4b when a = 1 and b = 1.
10. 10.Find the value of 8a + 8b when a = 1 and b = 1.
11. 11.Find the value of 4y − 1 when y = 1.
12. 12.Solve: m + 10 = 21. What is m?
13. 13.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
14. 14.Isha has p marbles. A friend has 8 times as many. Which expression shows how many marbles the friend has? (a) 8p (b) p + 8 (c) p − 8 (d) p ÷ 8
15. 15.Find the value of 9y + 5 when y = 8.
16. 16.Farhan has m crayons. A friend has 9 fewer. Which expression shows how many crayons the friend has? (a) m ÷ 9 (b) 9m (c) m + 9 (d) m − 9
17. 17.Solve: p ÷ 4 = 14. What is p?
18. 18.Find the value of 5t − 16 when t = 4.
19. 19.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
20. 20.Find the value of 3a + 2b when a = 1 and b = 2.
21. 21.Isha has n balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) 3n (b) n + 3 (c) n − 3 (d) n ÷ 3
22. 22.Find the value of 8a + 2b when a = 7 and b = 3.
23. 23.Find the value of 4a + 8b when a = 1 and b = 1.
24. 24.Solve: 5n = 85. What is n?
25. 25.Solve: p ÷ 12 = 20. What is p?
26. 26.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
27. 27.Solve: t + 11 = 19. What is t?
28. 28.Priya has m pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) 6m (b) m + 6 (c) m − 6 (d) m ÷ 6
29. 29.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
30. 30.Find the value of 2a + 7b when a = 7 and b = 2.
31. 31.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
32. 32.Solve: n − 2 = 3. What is n?
33. 33.Find the value of 8p − 50 when p = 7.
34. 34.Vivaan has n laddoos. A friend has 9 fewer. Which expression shows how many laddoos the friend has? (a) n ÷ 9 (b) 9n (c) n + 9 (d) n − 9
35. 35.Solve: n ÷ 11 = 11. What is n?
36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
37. 37.Find the value of 4t − 10 when t = 3.
38. 38.Solve: y ÷ 12 = 2. What is y?
39. 39.Find the value of 6x − 4 when x = 4.
40. 40.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?

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