Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 349 · 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.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
2. 2.Solve: 3x = 6. What is x?
3. 3.Find the value of 3y + 2 when y = 10.
4. 4.Find the value of 3a + 5b when a = 1 and b = 7.
5. 5.Find the value of 6a + 2b when a = 10 and b = 4.
6. 6.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
7. 7.Solve: 9y = 90. What is y?
8. 8.Kabir has p mangoes. A friend has 9 fewer. Which expression shows how many mangoes the friend has? (a) 9p (b) p ÷ 9 (c) p + 9 (d) p − 9
9. 9.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
10. 10.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
11. 11.Find the value of 6a + 4b when a = 8 and b = 4.
12. 12.Solve: y + 12 = 24. What is y?
13. 13.Find the value of 4x + 5 when x = 2.
14. 14.Find the value of 3a + 6b when a = 1 and b = 2.
15. 15.Find the value of 3m + 7 when m = 3.
16. 16.Find the value of 8y + 10 when y = 9.
17. 17.Solve: y − 12 = 7. What is y?
18. 18.Find the value of 9n − 16 when n = 3.
19. 19.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
20. 20.Solve: x − 9 = 17. What is x?
21. 21.Find the value of 9t − 59 when t = 8.
22. 22.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
23. 23.Kavya has m balloons. A friend has 8 fewer. Which expression shows how many balloons the friend has? (a) 8m (b) m + 8 (c) m ÷ 8 (d) m − 8
24. 24.Gurpreet has m marbles. A friend has 8 more. Which expression shows how many marbles the friend has? (a) 8m (b) m − 8 (c) m + 8 (d) m ÷ 8
25. 25.Joseph has k shells. A friend has 7 more. Which expression shows how many shells the friend has? (a) 7k (b) k − 7 (c) k ÷ 7 (d) k + 7
26. 26.Solve: 4y = 80. What is y?
27. 27.Aditya has p shells. A friend has 4 more. Which expression shows how many shells the friend has? (a) p ÷ 4 (b) p − 4 (c) 4p (d) p + 4
28. 28.Find the value of 6p − 35 when p = 9.
29. 29.Find the value of 4a + 2b when a = 8 and b = 3.
30. 30.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
31. 31.Solve: t − 10 = 5. What is t?
32. 32.Find the value of 4t + 16 when t = 10.
33. 33.Solve: 7p = 84. What is p?
34. 34.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
35. 35.Solve: y ÷ 2 = 10. What is y?
36. 36.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
37. 37.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
38. 38.Solve: y ÷ 10 = 16. What is y?
39. 39.Solve: m ÷ 2 = 15. What is m?
40. 40.Find the value of 4m + 20 when m = 9.

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