Question

Write the following phrase as an algebraic expression. use n for a number. three increased by the quotient of a number and two a. startfraction 3 n over 2 endfraction b. 3 startfraction n over 2 endfraction c. 3 (n 2) d. 3 2 n

Answer 1

The algebraic expression for the phrase "three increased by the quotient of a number and two" is 3 + n/2. This is option (b).

Step-by-step explanation:

Identify the key elements:

"a number": This translates to "n" in the expression.

"increased by": This implies addition.

"the quotient of a number and two": This can be written as "n/2" (n divided by 2).

Combine the elements:

"three increased by the quotient of a number and two": 3 + n/2

Therefore, it is concluded that option (b), 3 + n/2, is the correct algebraic expression for the given phrase.

Option B is the answer.