Option A: 9 + 5t
Option B: 5 · t + 9
Option D: (5 × t) + 9
Solution:
Given verbal expression:
Nine more than the product of 5 times the number of tires t.
To select the algebraic expression for the given statement:
Option A: 9 + 5t
Product of 5 times t = 5 × t = 5t
More than means addition.
Nine more than product of 5 times t = 9 + 5t
It is correct.
Option B: 5 · t + 9
Product of 5 times t = 5 × t = 5t
More than means addition.
Nine more than product of 5 times t = 5t + 9
It is correct.
Option C: (9 + 5)t
Here 9 + 5 means nine more than five.
(9 + 5)t means product of t times nine more than five.
It is not correct statement.
Option D: (5 × t) + 9
Product of 5 times t = 5 × t
More than means addition.
Nine more than product of 5 times t = (5 × t) + 9
It is correct.
Option E: 5 + 9t
Here 9t means product of 9 times t.
5 + 9t means five more than product of nine times t.
It is not correct statement.
Hence 9 + 5t, 5 · t + 9, (5 × t) + 9 are correct algebraic expressions.
Option A, option B and option D are correct.