Use Letters to Stand for Numbers in Algebraic Sentences

🔤 Letters as Variables Quiz

Using Letters to Represent Numbers in Algebraic Sentences

📋 Instructions: In algebra, we use letters (variables) to represent unknown numbers. Choose the correct algebraic sentence that represents each word problem or mathematical statement.

1. "A number increased by 8 equals 15." Which algebraic sentence represents this?

a) x + 8 = 15 b) x - 8 = 15 c) 8x = 15 d) x ÷ 8 = 15

2. "Three times a number is 24." Which equation represents this?

a) 3 + n = 24 b) 3n = 24 c) n ÷ 3 = 24 d) n - 3 = 24

3. "A number divided by 5 equals 7." Which equation is correct?

a) 5y = 7 b) y ÷ 5 = 7 c) y + 5 = 7 d) 5 ÷ y = 7

4. "Seven less than a number is 12." Which equation represents this?

a) 7 - m = 12 b) m - 7 = 12 c) m + 7 = 12 d) 7m = 12

5. "The sum of a number and 6 is 20." Which equation is correct?

a) p + 6 = 20 b) p - 6 = 20 c) 6p = 20 d) p ÷ 6 = 20

6. "Twice a number plus 5 equals 17." Which equation represents this?

a) 2k + 5 = 17 b) 2k - 5 = 17 c) k + 5 = 17 d) 2 + k + 5 = 17

7. "A number decreased by 9 is 4." Which equation is correct?

a) 9 - w = 4 b) w - 9 = 4 c) w + 9 = 4 d) 9w = 4

8. "Half of a number is 10." Which equation represents this?

a) 2t = 10 b) t ÷ 2 = 10 c) t + 2 = 10 d) t - 2 = 10

9. "Four more than three times a number is 25." Which equation is correct?

a) 3r + 4 = 25 b) 4r + 3 = 25 c) 3r - 4 = 25 d) 7r = 25

10. "The quotient of a number and 8 is 6." Which equation represents this?

a) 8s = 6 b) s ÷ 8 = 6 c) s + 8 = 6 d) 8 ÷ s = 6