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What is the algebraic expression for the word phrase, ''31 less than k and 15''? A) 31k + 15 B) k...

Question:

What is the algebraic expression for the word phrase, {eq}\textrm{''} {/eq}{eq}31 {/eq} less than {eq}k {/eq} and {eq}15 {/eq}{eq}\textrm{''} {/eq}?

A) {eq}\; 31k + 15 {/eq}

B) {eq}\; k - 31 + 15 {/eq}

C) {eq}\; 31 - k + 15 {/eq}

D) {eq}\; 31 < k + 15 {/eq}

Algebraic Expression:

An algebraic expression translates words to math. That is, the words "add", "together", "and", "sum" can be translated as {eq}+ {/eq}.

Answer and Explanation:

Translating the phrase "31 less than {eq}k {/eq} and 15" is as follows:

{eq}(k+15)-31 {/eq}

where the minus indicates the "31 less than" and the addition indicates the "{eq}k {/eq} and 15".

Note, this can be rewritten as:

{eq}k+15-31~~\text{or}~~k-31+15 {/eq}

Therefore, the solution is B.


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Translating Words to Algebraic Expressions

from Algebra I: High School

Chapter 8 / Lesson 17
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