Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 299 · 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.Vivaan shares m balloons equally among 9 friends. Which expression shows how many balloons each friend gets? (a) m + 9 (b) m ÷ 9 (c) m − 9 (d) 9m
2. 2.Find the value of 6m − 29 when m = 6.
3. 3.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
4. 4.Solve: x ÷ 8 = 5. What is x?
5. 5.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
6. 6.Aarav has m balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) m ÷ 3 (b) m − 3 (c) 3m (d) m + 3
7. 7.Find the value of 7a + 9b when a = 1 and b = 3.
8. 8.Find the value of 7a + 3b when a = 8 and b = 1.
9. 9.Find the value of 5x + 13 when x = 11.
10. 10.Solve: 5y = 20. What is y?
11. 11.Find the value of 3a + 6b when a = 3 and b = 8.
12. 12.Sneha shares n books equally among 4 friends. Which expression shows how many books each friend gets? (a) n − 4 (b) n ÷ 4 (c) 4n (d) n + 4
13. 13.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
14. 14.Kabir shares m crayons equally among 7 friends. Which expression shows how many crayons each friend gets? (a) m + 7 (b) m ÷ 7 (c) m − 7 (d) 7m
15. 15.Find the value of 3a + 8b when a = 1 and b = 4.
16. 16.Find the value of 7x − 23 when x = 5.
17. 17.Nisha has p bananas. A friend has 4 fewer. Which expression shows how many bananas the friend has? (a) p − 4 (b) p + 4 (c) p ÷ 4 (d) 4p
18. 18.Find the value of 9a + 9b when a = 9 and b = 10.
19. 19.Find the value of 4a + 9b when a = 3 and b = 8.
20. 20.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
21. 21.Priya has p marbles. A friend has 6 more. Which expression shows how many marbles the friend has? (a) p + 6 (b) p − 6 (c) 6p (d) p ÷ 6
22. 22.Find the value of 5p + 3 when p = 3.
23. 23.Solve: y ÷ 4 = 12. What is y?
24. 24.Solve: y + 12 = 30. What is y?
25. 25.Find the value of 9a + 8b when a = 1 and b = 2.
26. 26.Find the value of 7a + 3b when a = 3 and b = 3.
27. 27.Solve: y + 10 = 22. What is y?
28. 28.Ananya has k books. A friend has 6 times as many. Which expression shows how many books the friend has? (a) k ÷ 6 (b) 6k (c) k − 6 (d) k + 6
29. 29.Solve: m − 7 = 15. What is m?
30. 30.Solve: y ÷ 5 = 11. What is y?
31. 31.Solve: m ÷ 11 = 4. What is m?
32. 32.Solve: y ÷ 4 = 4. What is y?
33. 33.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
34. 34.Kavya has k pencils. A friend has 9 more. Which expression shows how many pencils the friend has? (a) 9k (b) k + 9 (c) k − 9 (d) k ÷ 9
35. 35.Solve: 12n = 48. What is n?
36. 36.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
37. 37.Find the value of 9p + 3 when p = 1.
38. 38.Solve: t − 11 = 20. What is t?
39. 39.Aarav has n mangoes. A friend has 6 more. Which expression shows how many mangoes the friend has? (a) n + 6 (b) 6n (c) n ÷ 6 (d) n − 6
40. 40.Find the value of 9y − 88 when y = 10.

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