Choose all of the algebraic expressions that could represent the phrase below.

nine more than the product of 5 times the number of tires t
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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.

A and B

Hope this helps!